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Problem of the Day

Quit Success on Standardized Tests

Name

Use with Grade 4, Chapter 1, Lesson 1, pages 23. (1) NS 1.1

Explore How Big Is a Million?Solve.

1. How many 10-by-10 grids would 2. How many thousand cubes wouldyou need to make a thousand cube? you need to make a million?

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3. How many hundreds are in 1,000?

4. How many hundreds are in 10,000?

5. How many thousands are in 1,000?



8. How many thousands are in 1,000,000?

9. How many ten thousands are in 10,000?

10. How many ten thousands are in 100,000?

11. How many ten thousands are in 1,000,000?

12. How many hundred thousands are in 100,000?

13. How many hundred thousands are in 1,000,000?

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Explore How Big Is a Million?You can show numbers in different ways.

You can think of 1,000in the following ways:1 thousand10 hundreds100 tens1,000 ones

1. What number is shown below?

Complete. Name each number in different ways.

2. 10,000 3. 100,000 4. 1,000,000

ten thousand hundred thousand million

thousands ten thousands hundred thousands

hundreds thousands ten thousands

tens hundreds thousands

ones tens hundreds

ones tens

ones

10 hundreds1 thousand

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Explore How Big Is a Million?A Million Pizzas

Skye just opened Skyes Pizzas. Her dream is to sell one millionpizzas. She wants to see how long it will take. Answer thesequestions to help her find out.

1. Skye says, If I sell 100 pizzas every day, I can sell 1,000,000 pizzas

in days! She frowns. Thats a long time.

2. Suddenly Skye snaps her fingers. I know! Ill open more stores!

If I have 10 stores and each store sells 100 pizzas every day, it will

only take days to sell 1,000,000 pizzas!

3. Wait a minute! she exclaims. What if I have 100 stores and

each store sells 1,000 pizzas every day? How long will it take to

sell 1,000,000 pizzas?

Why dont you try to sell 1,000,000 pizzas in just 1 day? Skyes friend

Emma asks. Hmmm, Skye murmurs. How many stores would I

need? How many pizzas would each store need to sell?

4. Decide how many stores Skye would need and how many pizzas

each store would need to sell in 1 day.

5. What if you were Skye? What would be your plan? Tell about your plan.

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Place Value Through MillionsWrite the word name and the expanded form for each number.

1. 1,420,316

2. 2,672,400

3. 12,060,072

4. 785,004,012

Write the value of each underlined digit.

5. 842,753 6. 6,782,141

7. 153,428,090 8. 715,124,068

Write each number in standard form.

9. one million, two hundred thousand, five

10. thirty-eight million, four hundred thousand, eight

11. five hundred eighty million, sixty-two thousand, seventeen

12. two hundred fifty-four million, seven thousand, five

Algebra & Functions Write the missing number.

13. 42,865 40,000 800 60 5

14. 168,943 100,000 60,000 8,000 40 3

15. 888,888 800,000 8,000 800 80 8

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Place Value Through MillionsNumbers in the millions have three periods. Each period is separated by a comma.

Expanded form: 700,000,000 1,000,000 200,000 20,000 1,000 300 50 4

Standard form: 701,221,354

Word name: seven hundred one million, two hundred twenty-one thousand,three hundred fifty-four

Complete.

1. 824,124 = + 20,000 + 4,000 + + +

2. 7,624,139 = 7,000,000 + + 20,000 + + + +

3. 42,521,012 = + 2,000,000 + 500,000 + + + 10 +

4.

5.

6.

7.

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Millions Thousands Ones

Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

7 0 1 2 2 1 3 5 4

2,000,000 400,000 50,000 7,000 800

20 1

30,000,000 7,000,000 800,000 50,000

2,000 4

40,000,000 9,000,000 300,000 50,000

2,000 6

3,000,000 200,000 500 20

Standard Form Expanded Form Word Name

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Place Value Through MillionsAnd the Number Is . . .

Use the digits below only once in each exercise.

1 2 3 4 5 6 7 8 9

1. What is the greatest number with 4 in the hundred millions place?

, ,

2. What is the greatest number with 5 in the hundred thousands place?

, ,

3. What is the least number with 6 in the millions place?

, ,

4. What is the least number with 3 in the ten thousands place?

, ,

5. What is the greatest number with 8 in the thousands place?

, ,

6. What is the greatest number with 1 in the ten millions place?

, ,

7. What is the least number with 9 in the millions place and 2 in the ten thousands place?

, ,

8. What is the greatest number with 7 in the hundred thousands place and 1 in the thousands place?

, ,

9. How did you use place value to help you make the greatest possible number? the least possible number?

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Compare and Order Numbersand MoneyCompare. Write >,

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Compare and Order Numbers and MoneyYou can use a place-value chart to compare numbers. Start at the left. Look for the first place where the digits are different.

Compare 4,872 and 4,892.

same number same number 4,892 has more So, 4,892 4,872.of thousands of hundreds tens than 4,872.

Compare $306.97 and $319.23.

same number of $319.23 has more So, $319.23 $306.97.hundred dollars ten dollars than $306.97.

Use the place-value chart to compare the numbers. Write , , or .

1. Compare 3,234 and 3,216. 3,234 3,216

Compare. Write , , or .

2. 8,504 8,515 3. $25.16 $21.12

4. 5,558 5,585 5. 6,117 6,117

6. $324.89 $314.89 7. 50,281 51,002

8. 56,619 56,916 9. $285.45 $293.45

10. 502,300 510,239 11. 832,077 822,077

Thousands Hundreds Tens Ones

HundredDollars

TenDollars

OneDollars Cents

3 0 6 97

3 1 9 23

Thousands Hundreds Tens Ones

4 8 7 2

4 8 9 2

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Compare and Order Numbers and MoneyGreater Numbers

Look at the value that each letter represents. Then order the lettersfrom least to greatest values in the boxes below.

A. There are 9,123 public libraries in the United States.

B. There were 54,773 poodles registered by the American Kennel Club, Inc.

C. There were 54,470 beagles registered by the American Kennel Club, Inc.

D. The area of Mexico is 761,604 square miles.

E. In the year ending December 31, 1997, there were 4,819 Maine coon cats

registered in the United States.

F. The area of the United States is 3,618,770 square miles.

G. In the 1864 United States Presidential election, Abraham Lincoln received

2,216,067 votes.

H. In the 1868 United States Presidential election, Ulysses S. Grant received

3,015,071 votes.

I. The area of Japan is 145,856 square miles.

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Use with Grade 4, Chapter 1, Lesson 4, pages 1213. (10) MR 1.1, 1.2, 2.3, 2.4, 3.2

Problem Solving: Reading for MathUsing the Four-Step Process

Read the problem. Then read each step in the problem-solvingprocess. Write a number next to each step to show the order inwhich the steps are done. Write a 1 for the first step, and so on.

1. A male elk weighs 600 pounds. A male moose weighs 1,000 pounds. A male caribou weighs 300 pounds. What is the order of the three animals from greatest to least weight?

Check your answer.

Identify what you need to find. You need to find the order of the maleelk, the male moose, and the male caribou from greatest to least weight.

Read the problem.

Identify what you know: A male elk weighs 600 pounds. A male moose weighs 1,000 pounds. A male caribou weighs 300 pounds.

Make a plan for solving the problem. Order the animals by comparingtheir weights two at a time. List the animals from greatest to least weight.

Follow your plan to solve the problem.

What is the order of the three animals from greatest to least weight?

2. A mink can be 20 inches long. A wolverine can be 36 inches long.A black-footed ferret can be 18 inches long. Which animal cangrow to the greatest length?

Identify what you know. A mink can be 20 inches long. A wolverine can be 36 inches long. A black-footed ferret can be 18 inches long.

Check your answer.

Make a plan for solving the problem. Order the animals by comparingtheir lengths two at a time. List the animals from least to greatest length.

Identify what you need to find: Which animal cangrow to the greatest length?

Follow your plan to solve the problem.

Read the problem.

Which animal can grow to the greatest length?

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PRACTICEPReading

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Choose the correct answer.

A bottle-nosed dolphin can weigh up to 440 pounds. A common dolphincan weigh up to 165 pounds. Which kind of dolphin can be heavier?

1. Which of these statements is true?

A A bottle-nosed dolphin cannot beas heavy as a common dolphin.

B A common dolphin can weigh615 pounds.

C A bottle-nosed dolphin can weigh440 pounds.

2. Which plan will help you solve theproblem?

F Add 440 and 165.G Compare 440 and 165.H Subtract 165 from 440.

3. Which plan can you use to solve thisproblem?

A Compare 660; 1,096; and 998.B Add 660 and 1,096.C Add 1,096 and 998.

4. On which day did the most peoplego to Ocean World?

F FridayG SaturdayH Sunday

Lassies Dog Walking Service walks 68 dogs per week. Doggie Expresswalks 57 dogs per week. Top Dog Company walks 101 dogs per week.List the dog walking services in order from least dogs walked per week to most dogs walked per week.

5. Which statement is true?

A Lassies Dog Walking Service walksthe most dogs per week.

B Doggie Express walks 57 dogs perweek.

C Top Dog Company walks 68 dogsper week

6. Which plan can you use to solve theproblem?

F Compare the numbers of dogswalked two at a time.

G Find the difference between thenumber of dogs walked by TopDog Company and the numberwalked by Lassies.

H Find the total number of dogswalked by the three services.

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PRACTICEPMath SkillsTest Prep

14

On Friday, 660 people went to Ocean World Animal Park. On Saturday,1,096 people went to Ocean World. On Sunday, 998 people went toOcean World. On which day did the most people go to Ocean World?

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Ocean World Animal Park needs 750 customers each day to makemoney. On Monday, Ocean World had 803 customers. On Tuesday,Ocean World had 691 customers. On Wednesday, Ocean World had911 customers. On which day or days did Ocean World make money?

7. Which plan will help you solve theproblem?

A Compare the daily customer totalstwo at a time.

B Compare each daily customertotal to 750.

C Order the daily customer totalsfrom greatest to least.

Solve.

9. A marlin can move at a speed of 50miles per hour. A striped dolphin canmove 19 miles per hour. A killerwhale can move 55 miles per hour.List the animals in order from slowestto fastest.

11. A poll shows that 311 students havedogs, 424 students have cats, 96students have birds, and 38 studentshave a different pet. Which kind ofpet is owned by the most students?

13. Dylan spots 48 birds. Nicole spots 51birds. Who spots fewer birds?

8. On which day or days did OceanWorld make money?

F Tuesday onlyG Wednesday onlyH Monday and Wednesday only

10. Brandon, Timothy, and Norah havepet care services. Last year, Brandonearned $712, Timothy earned $1,110,and Norah earned $650. List thepeople in order from greatest amountearned to least amount earned.

12. The pet shelter has 324 dogs inApril, 411 dogs in May, and 399dogs in June. List the months inorder from least number of dogs togreatest number of dogs.

14. In 1997, about 36,000,000 people wentto aquariums and about 86,000,000people went to zoos. Did morepeople go to aquariums or to zoos?

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Round Numbers and MoneyRound to the given place.

1. 923 to the nearest 2. $0.93 to the nearest 3. $6.49 to the nearest

ten ten cents dollar

4. $57.52 to the nearest 5. 862 to the nearest 6. $46.47 to the nearestdollar hundred dollar

7. 4,357 to the nearest 8. $73.96 to the nearest 9. 8,553 to the nearestthousand ten cents hundred

10. 380,256 to the nearest 11. 61,479 to the nearest 12. 1,555 to the nearesthundred thousand ten thousand hundred

13. $34.06 to the nearest 14. 7,502,475 to the 15. 2,653,789 to the ten cents nearest million nearest hundred thousand

Algebra & Functions Find the rule. Complete the table.

16.

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Rule:

Input 57,124 64,142 91,722 234,162 478,234

Output 60,000

Problem Solving

17.The radio announcer said that therewere 1,532 bluebird sightings on theisland. To the nearest hundred, howmany sightings were there?

18.Joes class bought a bird feeder for$38.75. To the nearest dollar, whatwas the cost?

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Round Numbers and MoneyYou can use a number line to help you round.

Round 46,208 to the nearest ten thousand.

Think: 46,000 is closer to 50,000 than 40,000.

So, 46,208 rounds up to 50,000.

Round $6.38 to the nearest dollar.

Think: $6.30 is closer to $6.00 than $7.00.

So, $6.38 rounds down to $6.00.

Round to the nearest ten thousand.

1. 42,496 2. 49,009 3. 43,875

4. 45,800 5. 42,900 6. 47,250

7. 44,987 8. 41,875 9. 45,203

Round to the nearest million.

10. 7,450,000 11. 7,550,000

12. 7,832,010 13. 7,289,999

14. 7,362,800 15. 7,512,300

Round to the nearest dollar.

16. $12.60 17. $12.45 18. $12.13

19. $12.93 20. $12.53 21. $12.39

22. $12.25 23. $12.62 24. $12.59

$6.00 $6.10 $6.20 $6.30 $6.40 $6.50 $6.60 $6.70 $6.80 $6.90 $7.00

40,000 41,000 42,000 43,000 44,000 45,000 46,000 47,000 48,000 49,000 50,000

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Round Numbers and MoneyMystery Numbers

1. If you round me to the nearest hundred, you get 400.If you round me to the nearest ten, you get 430.The sum of my digits is 8.

What number am I?

2. If you round me to the nearest thousand, you get 3,000.If you round me to the nearest hundred, you get 2,600.Three of my digits are the same.The sum of my digits is 17.

What number am I?

3. If you round me to the nearest thousand, you get 4,000.The sum of my digits is 10.If you read me forward or backward, I am the same.

What number am I?

4. If you round me to the nearest ten thousand, you get 50,000.My first two digits add up to 10.The digit in my hundreds place is one more than 2.My last three digits add up to 8, and round (to the nearest hundred) to 400.

What number am I?

5. The sum of my seven digits is 60. Six of the digits are the same. Rounding me to the nearest ten, hundred, thousand, ten thousand,or million will give you the same number.

What number am I?

6. If you round me to the nearest 100,000, you get 600,000.Each of my six digits is the same.

What number am I?

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Use with Grade 4, Chapter 1, Lesson 6, pages 2021. (16) NS 1.2; SDP 1.3; MR 1.1, 2.3, 3.2

Problem Solving: StrategyMake a Table

Make a table. Use data from the table to solve problems 1 and 2.

1. Which pet had the most votes?

3. Mark cuts out letters to make a sign.The sign says, "Get Pet Kittens forFree." How many different kinds ofletters does Mark need to make?

Mixed Strategy Review Solve. Use any strategy.

5. A pet store sold 137 bags of dogfood called The Vets Choice. It sold249 bags of a dog food called FidosFriend. How many more bags ofFidos Friend than The Vets Choicewere sold?

Strategy:

7. Science Adult sun bears usuallyweigh from 60 to 100 pounds. Adultgrizzly bears weigh from 350 to 500pounds. Adult Asiatic black bearsweigh about 250 pounds. Whichbear weighs the least?

Strategy:

2. Which pet had the least votes?

4. Which letter does Mark need tomake the most of? How many ofthese letters does Mark have tomake?

6. In 1999, The Pet Palace made about$100,000. In 2000, The Pet Palaceincreased this amount by $10,000.How much did The Pet Palace makein 2000?

Strategy:

8. Create a problem you would makea table to solve. Share it with others.

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ElliotdogMarioncat

TinahamsterPaulafishSamcat

HowarddogNorikobird

YolandadogBarrycatJuandog

JanebirdTericat

SarahcatBrucedogMikecat

RebeccabirdMelaniecatTracidog

NoreenfishSylviacat

What is your favorite kind of pet?


Page 21, Problem 2

Which type of fish has the greatest number of varieties?

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Be sure you understand the problem.Read carefully.

What do you know?

There are different varieties of ,

, and .

What do you need to find?

You need to know how many different varieties of

, , and

there are.

Make a plan. Choose a strategy.

A table can help you organize what you know.

Make a table to solve the problem.

Make a Table or List Write a Number Sentence Work Backward Act it Out Find a Pattern Make a Graph Guess and Check Logical Reasoning Solve a Simpler Problem Draw a Picture

ReadStep 1

PlanStep 2

tetrasblack neon tetragoldfishblack moorangelfishgold angeltetraslemon tetra

goldfishfan tail goldfishtetraswhite skirttetrassilver dollar

angelfishmarble angel

goldfishlionheadtetrasblack neon tetras

angelfishsilver angel

Different Varieties of Tetras, Goldfish, and Angelfish

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Is the solution reasonable? Reread the problem.

Does your answer match the data given in the problem?


SolveStep 3

Look BackStep 4

Carry out your plan.Make a table to solve.

Tally the number of for each fish. Write anumber for each set of tallies. Compare the numbers.

Complete the table.

There are different kinds of tetras.

There are different kinds of goldfish.

There are different kinds of angelfish.

There are more varieties of than either of the othertwo kinds of fish.

Practice1. Jack lists the fish in his aquarium. He has

a fan tail goldfish, a lionhead goldfish, agold angel angelfish, a lemon tetra, anda black neon tetra. Of which type of fishdoes Jack have the least?

2. Alex, Brian, and Yumi each like one kindof dog. The dog is either a terrier, aretriever, or a poodle. Alex does not likeretrievers. Brian does not like poodles orretrievers. Who likes poodles?

Type of Fish Tally of Different NumberVarieties

Tetras

Goldfish 3

Angelfish

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Use with Grade 4, Chapter 1, Lesson 7, pages 2223. (19) NS 1.0; MR 2.4

Count Money and Make ChangeWrite the amount of money shown.

1. 2. 3.

Tell which coins and bills make the amount.

4. $0.89 5. $3.62 6. $7.67

Find the amount of change.

7. Price: $0.59 8. Price: $2.45 9. Price: $7.81

Amount given: $1.00 Amount given: $5.00 Amount given: $10.00

10. Price: $0.86 11. Price: $3.09 12. Price: $9.25

Amount given: $5.00 Amount given: $10.00 Amount given: $10.00

Problem Solving

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13. Andy gives the cashier $5.00 to payfor a $3.75 calendar. How muchchange does he receive?

14. Lowanda receives 1 quarter, 2 dimes,and 1 nickel in change. How muchmoney is that?

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Count Money and Make ChangeTo make change, start with the cost. Then count up to the amountgiven to you. Use the fewest number of bills and coins possible.

You sell a pen for $2.49. Someone gives you $5.00 for the pen.

$2.49 $2.50 $2.75 $3.00 $4.00 $5.00Cost

Count the bills and coins to find the change: $2.51.

Count up. Find the amount of change.

1. Amount given: $6.00

$5.34 Cost

Amount of change:

2. Amount given: $10.00

$3.79Cost

Amount of change:

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Count Money and Make ChangeMoney Detective

Use the clues to find which coins and bills are inside each bank.

1. 2.

Clue: 6 coins Clue: 13 coins

3. 4.

Clue: 10 coins Clue: 8 coins

5. 6.

Clue: 19 coins, but only two kinds Clue: 3 bills, 3 coins

7. 8.

Clue: 2 bills, 3 coins Clue: 5 bills, 3 coins

$23.00$15.55

$7.45$1.00

$0.81$0.73

$0.58$0.47

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Negative Numbers

Write a positive or negative number to represent each situation.

1. Lose $4 2. Deposit $50

3. 300 feet above sea level 4. 12F below zero

5. Gain 3 pounds 6. Go 3 floors down

7. Take 8 steps back 8. Earn $25

9. 52F 10. Lose 10 pounds

Compare. Write or . You may use a number line to help.

11. 0 9 12. 2 3 13. 4 2 14. 5 6

15. 4 7 16. 0 8 17. 3 0 18. 3 3

19. 1 12 20. 6 10 21. 12 12 22. 7 15

23. 5 2 24. 12 24 25. 10 0 26. 9 9

27. 4 8 28. 17 13 29. 15 9 30. 0 11

31. 11 11 32. 0 8 33. 6 11 34. 13 3

35. 6 1 36. 2 10 37. 4 4 38. 12 7

Problem Solving

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39. Manuel deposited a check for $25 inhis savings account. Then he withdrew$30. Write a number to representeach situation.

40. An airplane descended 1,000 feet. Tenminutes later, it climbed 9,500 feet.Write a number to represent eachsituation.

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Negative Numbers

You can use a number line to understand and compare positive andnegative numbers.

Numbers to the right are greater than numbers to the left.

2 is to the right of 2, so 2 2.



Complete.

1. 5 is to the right of 3, so 5 3.

2. 1 is to the of 1, so 1 1.

3. 5 is to the of 6, so 5 6.

4. 4 is to the of 1, so 4 1.

5. 6 is to the of 6, so 6 6.

6. 2 is to the of 4, so 2 4.

Compare. Write or . You may use a number line to help.

7. 14 14 8. 13 31 9. 9 15 10. 20 18

11. 12 21 12. 25 5 13. 8 2 14. 20 20

15. 6 15 16. 10 12 17. 2 12 18. 4 4

19. 7 7 20. 8 2 21. 9 8 22. 0 10

less than zero greater than zero

negative numbers positive numbers

0 2 3 4 5 62 13456 1

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Negative NumbersAre You Positive or Negative?

Play with a partner.

You will need 10 blank cards for each player.

Each player writes five different negative and fivedifferent positive integers, one on each card. They should use the integers from 10 to 10. Each player mixes up their cards and spreads themout face down.

To play, each player touches one of these cards. One player announces Mine is greater than (or less than or equal to) yours. Both playersturn over their card. If the statement was correct,that player gets both cards. If not, they go to theoriginal player.

Repeat touching cards and taking turns making the statements. When all cards are collected, theplayer with the most cards wins.

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Use with Grade 4, Chapter 1, Lesson 9, pages 2627. (25) NS 1.2; MR 1.1, 2.3

Problem Solving: ApplicationApplying Place Value

Record your data. Answers may vary.

Your Decision

What is your recommendation for Stacia? Explain.

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WORKSHEET

DecisionMaking

PartA

19

StoreCost of 20 Pounds Cost of Gas for

of Dog Food Trip to Store

Pet Supply

Animal World

Pets Place

Discount Pet Food

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Use with Grade 4, Chapter 1, Lesson 9, pages 2829. (26) NS 1.2; MR 1.1, 2.3, 3.3

Problem Solving: ApplicationHow do you compare with your partner?

Record your data.

Data for Data for Are the twoStudent 1 Student 2 sets of data

the same orclose tobeing thesame?

1. Your favorite number

2. Number of hours you sleep each night

3. Number of push-ups you can do in 30 seconds

4. Number of objects in your desk right now

5. Number of cups of water you drank yesterday

6. Number of cats and dogs you know

7. Length of your arm from shoulder to wrist

8. How long you can stand on one foot

9. Number of times you breathe in one minute

10. Your age

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WORKSHEET

Math &Science

PartB

19

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Use with Grade 4, Chapter 1, Lesson 9, pages 2829. (27) NS 1.2; MR 1.1, 2.3, 3.3

Problem Solving: ApplicationHow do you compare with your partner?

1. How many times were you and your partner the same? different?

2. Explain how you decided whether you and your partner were thesame. Did the numbers have to be exactly alike? Why or why not?

3. In which areas did you vary the most from your partner?

4. In which areas did you vary the least from your partner?

5. Why is it good to have variation in nature?

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WORKSHEET

Math &Science

PartB

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Use with Grade 4, Chapter 2, Lesson 1, pages 4445. (28) NS 3.1; AF 1.1

Use Properties of Addition

1. 5 , 3, 8

5 n 8

n 3 8

8 5 n

8 n 5

4. 3, 7, 10

3 n 10

3 7 n

n 3 7

10 n 3

2. 6, 8, 14

6 8 n

8 n 14

14 6 n

14 n 8

5. 22, 5, 27

22 n 27

5 22 n

n 22 5

27 5 n

3. 6, 9, 15

n 6 15

6 n 15

15 n 6

15 6 n

6. 34, 4, 38

34 n 38

4 n 38

38 n 34

n 4 34

Find the sum or difference. Write the related number sentences.

7. 2 9 8. 35 4 9. 54 0

Write the related number sentences for the set of numbers.

10. 4, 5, 9 11. 11, 24, 35 12. 0, 46, 46

Problem Solving

13. Ken has 6 coins in his collection.Barb has 5 more coins than Ken.How many coins does Barb have?

14. Meg has 13 coins in her collection.Then she gives 7 coins to her cousin.How many coins does Meg have now?

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Complete the set of related number sentences.

Name


Use Properties of Addition

Every number sentence in a set of related number sentences usesthe same numbers.

The model below shows a set of related number sentences.

5 3 8 } Commutative Property:3 5 8 5 3 8 is the same as 3 5 8.8 3 5

8 5 3

You can also use the properties and the idea of related sentenceswith greater numbers.

Look at each model. Write the related number sentences.

1. 2.

Find the sum. Write the related number sentences.

3. 8 3 n 4. 2 7 n 5. 18 0 n

Write the related number sentences for the set of numbers.

6. 26, 17, 43 7. 0, 56, 56 8. 9, 45, 54

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Use Properties of Addition Properties and Rules

Complete each number sentence. Then write the property or rule you used.

1. M N M N

2. A B B

3. C D C D

4. H H

5. J J

6. Z 0

7. Q Q P

8. 0 W

Write the related number sentences.

9. A N B 10. D E F

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Addition PatternsComplete the pattern.

1. 8 8 n

80 80 n

800 800 n

8,000 8,000 n

80,000 80,000 n

800,000 800,000 n

3. 5 9 n

50 90 n

500 900 n

5,000 9,000 n

50,000 90,000 n

500,000 900,000 n

Add mentally.

5. 500 400

7. 30,000 80,000

9. 600 500

11. 100,000 900,000

Problem Solving

13. A music store made $50,000 sellingCDs and tapes in December. InJanuary, the store made $30,000.How much did the store make in all?

2. 7 6 n

70 60 n

700 600 n

7,000 6,000 n

70,000 60,000 n

700,000 600,000 n

4. 8 9 n

80 90 n

800 900 n

8,000 9,000 n

80,000 90,000 n

800,000 900,000 n

6. 3,000 9,000

8. 700 800

10. 70,000 30,000

12. 800,000 500,000

14. The Green Hornets sold 800,000copies of their first CD. They sold500,000 copies of their second CD.How many CDs did the GreenHornets sell in all?

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Addition PatternsYou can use addition facts and patterns to add multiples of ten mentally.

Add the front digits. Then write a zero to match each place value.

5 7 12

50 70 120

500 700 1,200 500 7001,200

50 70120

5

7

12

5,000 7,000 12,000

50,000 70,000 120,000

500,000 700,0001,200,000 500,000 700,0001,200,000

50,000 70,000120,000

5,000 7,00012,000

Complete the pattern.

1. 3 8 n

30 80 n

300 800 n

3,000 8,000 n

30,000 80,000 n

300,000 800,000 n

Add mentally.

3. 800 600

5. 80,000 80,000

7. 900 500

9. 800,000 700,000

11. 300 700

2. 5 9 n

50 90 n

500 900 n

5,000 9,000 n

50,000 90,000 n

500,000 900,000 n

4. 9,000 7,000

6. 5,000 4,000

8. 700,000 600,000

10. 60,000 50,000

12. 80,000 90,000

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Addition PatternsPascals Triangle

The triangle below is called Pascals Triangle. Each row begins andends with the number 1. Every other number is the sum of the twonumbers above it.

Complete this Pascals Triangle.

Row 1 1

Row 2 1 1

Row 3 1 2 1

Row 4 1 3 3 1

Row 5 1 6 1

Row 6 1 1

Row 7 1 1

Now complete this Pascals Triangle. Each row begins and ends with 200.

Row 1 200

Row 2 200 200

Row 3 200 400 200

Row 4 200 600 600 200

Row 5 200 1,200 200

Row 6 200 200

Row 7 200 200

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Add Whole Numbers and MoneyFind each sum.

1. 2. 3. 4.

5. 6. 7. 8.

9. 10. 11. 12.

13. 14. 15. 16.

17. 18. 19. 20. $427,535

6,280

741,243

85,278

204,177

678,687

$3,421.78

1,657.18

183,462

570,184

24,316

893

43,802

7,526

12,345

67,890

$78.29

45.32

6,672

878

$12.57

7.43

5,174

327

$3,824

962

8,489

2,467

989

624

$2.98

0.59

$8.72

1.38

757

529

574

434

688

207

21. $7.77 $6.66 22. 5,872 754

23. 3,489 87 741 24. $256.82 $357.47 $83.95

25. 42,608 7,709 3,047 26. 782,070 879,162 115,603

Problem Solving

27. At the Lakeside School, 522 studentsride the bus and 714 students walkor are driven to school. How manystudents attend Lakeside School?

28. Last week, $325 worth of play ticketsand $729 worth of carnival ticketswere sold. How much money wascollected altogether?

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H T O

1

5 8 7 2 6 9

6

H T O

1 1

5 8 7 2 6 9

5 6

H T O

1 1

5 8 7 2 6 9

8 5 6

Add Whole Numbers and MoneyAdd 587 269.

Step 1 Step 2 Step 3Add the ones. Add the tens. Add the hundreds.Regroup if necessary. Regroup if necessary. Regroup if necessary.

7 ones 9 ones 16 ones 1 ten 8 tens 6 tens 1 hundred 5 hundreds

16 ones 1 ten 6 ones 15 tens 2 hundreds 8 hundreds

15 tens 1 hundred 5 tens

Find each sum.

1. 2. 3. 4.

5. 6. 7. 8.

9. 10. 11. 12.

13. 14. 15. 16.

17. 18. 19. 20. $62.41

7.38

1.21

399,625

99,990

437,487

25,784

4,408

64,726

87,421

2,032

5,857

71,128

3,511

5,326

383

8,147

3,988

6,289

764

$31.15

85.29

1,245

3,717

$7.99

7.99

692

810

$9.34

3.68

534

394

187

219

$828

16

327

425

$4.80

2.57

336

574

413

228

Name


Add Whole Numbers and MoneyHindu Addition

The Hindu people of ancient India added numbers from the left andmoved to the right.

Here is an example of Hindu addition.

Use the Hindu method of addition to find the sum. Show your work.

1. 2. 3. 4.

5. 6. 7. 8.

9. 10. 11. 12.

Compare the Hindu method of addition to the method of addition you use. Whichmethod do you like best? Explain.

$6.11

9.97

385

496

874

496

$1.87

7.58

766

984

238

849

$9.63

8.75

289

556

322

489

538

247

96

87

56

35

589

782

126137

589

782

1263

589

782

12

Add the hundreds. Next add the tens. Last, add the ones.8 8 16. Regroup Regroup to the tens place.to the hundreds place. The sum is 1,371.

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Use Mental Math to AddAdd mentally.

1. 32 45

3. 35 13

5. 48 31

7. 595 409

9. 238 495

11. 891 108

13. 4,524 3,173

15. 2,295 2,124

2. 21 64

4. $39 $24

6. 298 311

8. 255 344

10. 730 214

12. $256 $222

14. 8,999 1,333

16. 1,487 1,511

Algebra & Functions Find each missing number.

17. 36 a 86 18. b 61 81

19. $498 c $698 20. d 298 598

21. e 657 957 22. $63 h $243

23. $725 k $1,125 24. m 837 1,137

25. 1,650 n 3,300 26. r $750 $1,500

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Problem Solving

27. There are 38 dogs and 24 cats at thepet show. How many cats and dogsare there in all?

28. The pet show committee spends$316 on dog treats and $299 on cattreats. How much does thecommittee spend on treats?

Name


Use Mental Math to AddYou can use these two strategies to add mentally.

CompensationUse compensation when a number is close to a ten or a hundred.

Add 3 to make 200: 197 3 200.

Subtract 3 from the other number: 254 3 251.

Zig-zagUse the zig-zag method to add 356 627.Take apart 627.

627 600 20 7

Then add each place separately.

976

7

983

956

20

976

356

600

956

356

627

200

251

451

197

254

Add mentally.

1. 62 39

3. 202 248

5. $625 $330

7. 499 252

9. $29 $56

11. $268 $441

13. 752 247

15. 599 109

17. 253 35

19. 425 222

21. 3,398 1,343

23. $6,512 $950

2. 54 17

4. $316 $455

6. 437 128

8. 697 140

10. $62 $78

12. 298 465

14. 365 113

16. 232 657

18. 849 52

20. 723 245

22. 2,377 196

24. 1,783 5,097

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Use Mental Math to AddCountdown!

Move from left to right. Add each pair of numbers mentally.

Shade any box that is the sum of the previous two boxes.

Example:

In row 1, add 19 and 53. The sum is 72. Shade the box with 72 in it. Add 53 and 72. If the sum is 125, then shade the box with 125 in it.

1. Look at the shaded boxes. What number do the boxes form?

2. Which method did you use to add pairs of numbers mentally when:

the sum of the digits was less than 9?

one number was close to 10, 100, or 1,000?

the sum of the digits was greater than 9?

How is mental math different from estimation?

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19 53 72 125 197 232 429 661 1,090 1,000 3,090 4,090

195 302 402 67 469 12 480 115 595 110 805 915

17 21 37 58 95 22 127 149 270 199 39 238

34 51 99 154 253 307 560 857 1,317 174 399 573

79 15 94 109 203 311 514 825 1,339 2,064 2,213 4,277

Name

Use with Grade 4, Chapter 2, Lesson 5, pages 5455. (40) NS 2.1; 3.1; MR 2.1, 2.5

Estimate SumsEstimate each sum. Show your work

22. Julio wants to buy drawing paper for $8.50 and brushes for $19.95.About how much will he spend?

23. The fourth-grade students make 268 posters about bicycle safety. The fifth-grade students make 229.About how many posters do thestudents make altogether?

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1. 478 597

2. $8.65 $7.15

3. $0.32 $0.65

4. 4,990 405

5. 2,188 5,621

6. 47,522 3,721

7. 863,122 254,087

Add. Estimate to check that each answer is reasonable.

8. 621 308 9. 2,188 5,621

10. $4.20 $8.12 11. 601,128 328,125

Compare. Write or to make a true sentence.

12. 176 335 400 13. 243 50 300

14. 500 251 127 15. 900 895 68

16. 1,348 2,489 5,000 17. 4,725 321 3,923 289

18. 9,000 4,487 5,672 19. 8,000 6,081 950

20. 22,152 28,174 60,000 21. 49,912 2,839 5,000

Problem Solving

Name

Use with Grade 4, Chapter 2, Lesson 5, pages 5455. (41) NS 2.1, 3.1; MR 2.1, 2.5

Estimate SumsTo estimate a sum, you can round each number. Then add therounded numbers.

Estimate 252 49.

Round each number 252 49to the nearest ten.

250 50

Add. 250 50 300

So, 252 49 is about 300.

Estimate $5.95 $7.25.

Round each $5.95 $7.25number to the nearest dollar. $6.00 $7.00

Add. $6.00 $7.00 $13.00

So, $5.95 $7.25 is about $13.00.

To which place will you round each number? Circle the digits in that place. Then estimate each sum. Show how you rounded.

Estimate each sum.

1. $7.89 $5.29

3. 6,714 8,217

5. 5,214 642

2. $0.32 $0.48

4. 27,822 2,321

6. 38,629 5,927

7. 469 563

9. 143 431

11. 1,827 764

13. $38,956 $7,653

15. 896,455 11,321

8. $9.08 $12.75

10. 5,723 3,501

12. 2,357 8,605

14. $46.90 $327.54

16. 477,995 865,311

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Estimate SumsStar Estimates

There are five paths. Each path has six numbers. Round eachnumber to the nearest hundred. Then estimate the sum of therounded numbers on each path of the star. Write your estimate inthe box at the end of each path.

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418,670

126,582

225

810

381

524

174

645432

825

714

45,672 152 172 429 874

3,8465,627

23,724

41,321

Start1. 47,600

4. 447,7002. 129,600

5. 44,100

3. 30,800

Name

Use with Grade 4, Chapter 2, Lesson 6, pages 5657. (43) MR 1.1, 2.1, 2.3, 2.4, 2.5, 3.1, 3.2

Problem Solving: Reading for MathEstimate or Exact Answer

Solve. Explain why you gave an estimate or an exact answer.

1. James, Max, and Melba collect baseball cards. James has 870 cards,Max has 569 cards, and Melba has 812 cards. Do the three friendshave more than 2,000 baseball cards?

2. Nicki has a collection of 79 shells and 64 rocks. How many items arein her collection?

3. Kelly has a coin collection. Her quarters are worth $104.50. Herdimes are worth $75.10. Her nickels are worth $27.75. What is thetotal value of Kellys coin collection?

4. The Comic Book Show sells 474 tickets on Friday and 396 tickets onSaturday. About how many tickets does the Comic Book Show sell?

5. Eldon has 98 rock CDs, 121 classical CDs, and 25 folk music CDs.How many CDs does Eldon have?

6. Molly has 221 stamps from the United States and 395 stamps fromother countries. About how many stamps does Molly have?

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Jenny has a collection of 249 football cards. Ken has a collection of329 football cards. Are there more than 500 cards in these twocollections altogether?

1. Which of the following statements istrue?

A Jenny has more cards than Ken.

B Ken has more than 500 cards.

C Jenny has 249 cards.

2. Which number sentence will helpyou solve the problem?

F 249 329 500

G 329 249 500

H 500 249 500


A Estimate the sum of 129 and 167.

B Add 129 and 167.

C Compare 129 and 167.

4. How many toy cars do they have in all?

F 300

G 296

H 200

5. Which of the following statements istrue?

A Hiroshi has 278 baseball cards.

B Hiroshi has 429 cards in all.

C Hiroshi has 97 football cards.

6. What do you have to do to solve thisproblem?

F Find the exact sum for 429 278 97.

G Estimate to tell if 429 278 isgreater than 1,000.

H Estimate to tell if 429 278 97is greater than 1,000.

Paco has 129 toy cars. His brother has 167 toy cars. How many toycars do they have in all?

Hiroshi has 429 football cards, 278 baseball cards, and 97 hockeycards. Does Hiroshi have more than 1,000 cards in all?

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On Friday, 529 people see the museums collection of antique dolls.On Saturday, 994 people see the collection. On Sunday, 812 peoplesee the collection. How many people came to see the antique dollshow during the three days?


A Estimate the sum of 529, 994,and 812.

B Add 529, 994, and 812.

C Order 529, 994 and 812 fromleast to greatest.

Solve.

9. Chelsea has 635 postcards from theUnited States, 291 postcards fromCanada, and 456 postcards fromEurope and Asia. Does she havemore than 2,000 postcards?

11. Miles has 75 old movie posters, 63 concert posters, and 54 postersfrom plays. How many posters doesMiles have?

13. Nina has 379 stamps from theUnited States and 458 stamps fromother countries. How many stampsdoes she have?

8. How many people came to see the antique doll show during thethree days?

F 2,335

G 2,300

H 1,523

10. Gus has 65 autographs from sportsplayers, 97 autographs from actorsand actresses, and 27 autographsfrom singers. About how manyautographs does he have?

12. Evan has 4,212 cards. His sister has5,349 cards. If they put their cardstogether, will they have more than9,000 cards?

14. Morris has a collection of 44 quarters, 92 dimes, and 89 pennies. About how many coins does he have?

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Subtraction PatternsComplete the pattern.

1. 12 8 n

120 80 n

1,200 800 n

12,000 8,000 n

120,000 80,000 n

1,200,000 800,000 n

3. 11 5 n

110 50 n

1,100 500 n

11,000 5,000 n

110,000 50,000 n

1,100,000 500,000 n

Subtract mentally.

5. 1,200 600

7. 600,000 500,000

9. $13,000 $9,000

11. 140,000 50,000

Problem Solving

13. A video store rented 900,000 videoslast year. This year the store rented1,500,000 videos. How many morevideos did it rent this year?

2. 16 7 n

160 70 n

1,600 700 n

16,000 7,000 n

160,000 70,000 n

1,600,000 700,000 n

4. 15 8 n

150 80 n

1,500 800 n

15,000 8,000 n

150,000 80,000 n

1,500,000 800,000 n

6. $8,000 $3,000

8. 70,000 50,000

10. 160,000 80,000

12. 1,200,000 600,000

14. The price for a house is $120,000. Ms. Smith decides to make an offerthat is $30,000 less than the price.How much does Ms. Smith offer for the house?

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Subtraction PatternsYou can use subtraction facts and patterns to subtract multiples often mentally.

Subtract the front digits. Then write a zero to match each place value.

Complete the pattern.

1. 11 8 n

110 80 n

1,100 800 n

11,000 80,000 = n

110,000 800,000 n

1,100,000 8,000,000 n

Subtract mentally.

3. 1,400 600

5. 160,000 80,000

7. $1,500 $700

9. 14,000 8,000

11. 1,800,000 900,000

2. 14 5 n

140 50 n

1,400 500 n

14,000 5,000 n

140,000 50,000 n

1,400,000 500,000 n

4. $16,000 $7,000

6. 1,200 500

8. 110,000 50,000

10. $1,700,000 $900,000

12. 120,000 40,000

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12 7 5

120 70 50

1,200 700 500 1,200 700

500

120 70

50

12

7

5

12,000 7,000 5,000

120,000 70,000 50,000

1,200,000 700,000 500,000 1,200,000 700,000

500,000

120,000 70,000

50,000

12,000 7,000

5,000

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Subtraction PatternsSubtraction Squares (Diffy)

Each subtraction square is made up of eight numbers. To find themissing numbers, subtract the two corner numbers in each squareand write the difference in between the numbers. Find the missingnumbers. Subtract until you reach the center of the square.

2. What happens in the center of the squares?

3. What do you think will happen if you choose four other corner numbers for the largest square? Try it and check your prediction!

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150

60 10

10

10

30 40

20 10

20

20 20 0

0

0

000

00 0

20

0 20 20

30 30

70 80

90 40 50

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Explore Subtracting Whole NumbersSubtract.

1. Use models to subtract 525 272.

Subtract the ones.

Subtract the tens.Regroup 1 hundredas 10 tens.

Subtract the hundreds.

Subtract.

2. 3. 4. 5. 6.

7. 8. 9. 10. 11.

12. 684 327 13. 573 495

14. 813 75 15. 263 88

227

138

562

348

857

79

425

258

711

380

319

79

923

707

356

127

612

74

187

95

5 2 5

2 7 2

5 2 5

2 7 2

5 2 5

2 7 2

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Explore Subtracting Whole NumbersUse models to subtract 322 145.

Step 1Model thegreater number.

Step 2Subtract theones. Regroup aten for 10 ones,if necessary.

Step 3Subtract thetens. Regroup ahundred for 10tens, if necessary.

Step 4Subtract thehundreds.

2 11 12

3/ 2/ 2/ 1 4 5

1 7 7

2 11 12

3/ 2/ 2/ 1 4 5

7 7

1 12

3 2/ 2/ 1 4 5

7

3 2 2

1 4 5

Subtract. Use or draw models to help you subtract.

1. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 274 126 12. 745 67

651

93

863

575

327

299

735

586

964

281

353

182

428

247

568

59

916

108

724

318

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You need to subtract 145, or 1 hundred 4 tens 5 ones.

Subtract 5 ones.

Subtract 4 tens.

Subtract 1 hundred.

Name


Explore Subtracting Whole NumbersCrack the Code

Find each difference. Match the code number beside each problem with the correct code letter.

Problems Code Numbers Code Letters

1. $3.63 $1.77 6 761 S

2. $4.25 $2.86 4 88 A

3. 181 92 9 $1.39 U

4. 573 397 13 176 T

5. 426 326 14 304 C

6. 880 119 5 $1.59 N

7. 625 317 2 89 V

8. 682 594 12 $1.86 E

9. 170 98 7 308 M

10. 590 399 15 100 I

11. 731 427 11 77 N

12. $9.05 $7.89 3 191 O

13. $6.52 $4.93 16 47 A

14. 464 387 8 138 A

15. 222 175 1 72 O

16. 832 694 10 $1.16 O

Use this code to solve the riddle. Write the correct letter above each number.

Riddle: What animal is gray and has a trunk?

16151413121110987654321

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Subtract Whole Numbers and MoneySubtract. Check by adding.

1. 2. 3. 4.

5. 6. 7. 8.

9. 10. 11. 12.

13. 14. 15. 16.

17. 18. 19. 20.

21. 827 468 22. $9.12 $7.58

23. 42,625 9,846 24. 65,932 46,464

25. $311.42 $4.65 26. $578,423 $89,743

27. 982,561 678,984 28. $2,176.53 $1,993.76

$7,211.53

5,926.84

914,617

117,814

$672,145

98,276

389,243

136,354

$4,561.71

291.68

$224.39

15.87

98,142

617

49,785

8,998

74,125

65,239

$33,572

13,689

3,523

2,846

4,672

873

$11,321

979

$67.89

18.95

2,345

1,658

$2.48

1.95

851

569

693

516

$582

492

757

28

Problem Solving

29. A toy factory made 32,154 boardgames on Monday. On Tuesday itmade 31,687 board games. Howmany more board games did thefactory make on Monday?

30. A store earned $12,415 sellingpuzzles this week. Last week itearned $9,326 selling puzzles. How much more did the store earn this week?

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Subtract Whole Numbers and MoneySubtract 7,617 5,789.

Step 1Subtract the ones. Regroup if necessary.

Step 3Subtract the hundreds. Regroup if necessary.

Step 2Subtract the tens. Regroup if necessary.

Step 4Subtract the thousands.

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TH H T O

0 17

7 6 1/ 7/ 5 7 8 9

8

TH H T O

5 10 170/

7 6/ 1/ 7/ 5 7 8 9

2 8

TH H T O

15 10 176 5/ 0/7/ 6/ 1/ 7/

5 7 8 9

8 2 8

TH H T O

15 10 176 5/ 0/7/ 6/ 1/ 7/

5 7 8 9

1 8 2 8

Use the same steps to subtract money.

Subtract. Check by adding.

1. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13. 14. 15. 743,219

19,733

$6,192.48

1,671.39

347,072

59,687

$56,716

39,897

24,652

9,788

$6,423

2,496

12,435

8,679

8,142

6,527

7,501

6,874

4,872

3,785

$2.49

0.98

3,457

965

$6.21

4.43

872

465

577

385

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Subtract Whole Numbers and MoneySumerian Numbers

The Sumerians were an ancient civilization. Sumerians were one of the firstpeople to develop a written number system and compute with it. They had five number symbols.

The chart shows the value of each symbol.

The symbols were combined to represent numbers.

Example:

Solve the Sumerian subtraction problems. Translate the Sumerian symbols to the numbers in our system and subtract. Then write the difference using Sumerian symbols.

1. 2. 3.

4. 5. 6. 1,242

922

320

3,750

3,650

100

1,821

1,205

616

7,280

4,861

2,419

1,263

626

637

133

125

8

3,600 600 60 10 10 4,280

1 10 60 600 3,600

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Regroup Across ZerosSubtract. Check by adding.

1. 2. 3. 4.

5. 6. 7. 8.

9. 10. 11. 12.

13. 14. 15. 16.

17. 18. 19. 20.

21. 602 423 22. 800 68

23. 3,400 1,762 24. 6,000 672

25. $20,800 $13,972 26. 70,000 52,087

27. 160,000 149,999 28. 307,000 198,621

575,000

89,342

210,303

101,506

400,707

39,698

$900,000

321,229

600,003

25,178

30,000

7,984

80,000

35,189

50,000

25,625

70,700

8,633

$15,000

7,641

8,000

2,450

2,000

784

4,050

2,542

9,000

5,431

3,000

2,987

300

108

600

58

$500

244

701

387

804

565

Problem Solving

29. Crystal Lake School held a dancefestival. There were 3,000 dancers atthe festival. Of those dancers, 2,682did not win prizes. How manydancers did win prizes?

30. At the festival, 39,251 peoplewatched the dancers. Another700,000 people watched the festivalon television. How many more peoplewatched the festival on television?

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Regroup Across ZerosSubtract 500 185.

Step 1No ones.No tens.Regroup the hundreds.

5 hundreds 4 hundreds10 tens

There are not enough onesto subtract 9 ones.

Step 2Regroup the tens.

10 tens 9 tens 10 ones

Step 3Subtract the ones, the tens,and then the hundreds.

10 ones 5 ones 5 ones

9 tens 8 tens 1 ten

4 hundreds 1 hundred 3 hundreds

Subtract. Check by adding.

1. 2. 3. 4. 5.

6. 7. 8. 9. 10.

11. 12. 13. 14. 15.

16. 300,077 124,364 17. $200,008 $187,053

18. 107,006 84,119 19. 906,004 205,457

20. 60,000 29,730 21. $500,600 $50,250

45,000

2,374

$40,050

32,037

74,800

27,862

80,000

5,287

68,000

11,770

6,000

1,326

5,000

259

3,000

2,225

2,005

1,083

$4,000

1,527

304

150

800

523

$900

306

700

203

602

314

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H T O

4 10/5 0/5/ 0/ 0

1 8 5

H T O

94 10/ 105/ 0/ 0/

1 8 5

H T O

94 10/ 105/ 0/ 0/

1 8 5

3 1 5

Regroup Across ZerosMissing Digits

Find the missing digits.

1. 2. 3.

,

4. 5. 6.

1 7 9 2 4, 6 4 5

7. 8. 9.

, 2 0 7 3 7 1 2, 2 8 3

10. 11. 12.

4 2 1 6 , 2 1 5

13. 14. 15.

6 7 , 5 2 , 1 4

16. 17. 18.

5 7 3 3 3 5, 7 6

7 , 1

, 2 3 4

0 0

2

5 7

2 0

, 0 7

4, 8 8 1

6, 5 7

3 2 9

9 8

3 9

7, 3 0

3, 0 8 5

0

3 8 6

7 0

2 6 2

5, 0

3, 5 8

6 6

3

6, 0 4

3, 8 4 7

5, 1 0

5 8

2, 0 3

1, 9 8 1

3 0 8

9

7 37 37 1

9 8

2 6

5, 0 8 2

2, 3 7

8 0 5

7

Name


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Use with Grade 4, Chapter 2, Lesson 11, pages 6869. (58) NS 3.1; AF 1.1, 2.1; MR 1.1

Problem Solving: StrategyWrite a Number Sentence

Write a number sentence to solve.

1. Meg buys candle-making supplies for$37. She has $25 left. How muchmoney did Meg have before shebought the supplies?

3. Eric sells a painting for $125. He sellsa sculpture for $390. How muchmoney does Eric earn in all?

Mixed Strategy Review

Solve. Use any strategy.

5. Howard has 75 shells. On a trip, hecollects another 16 shells. How manyshells does he have now?

Strategy:

7. Social Studies During the 1800s,sailors made carvings called scrimshawon whale teeth, whalebone, andtortoise shells. Suppose a sailor madea carving in 1805. A collector buys thecarving in 2000. How many years oldis the carving?

Strategy:

2. Sally has finished 86 squares in herquilt. The quilt will have 100 squares.How many squares does Sally stillhave to make?

4. Noah has saved $42. How muchmore money does he need to buy arare coin for $90?

6. Tom makes letters for a sign thatsays Arts and Crafts Fair. Whichletter does Mark need to make themost of?

Strategy:

8. Create a problem which you couldwrite a number sentence to solve.Share it with others.

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Page 69, Problem 2

Ms. Green had 29 buttons to sew on dolls. She has 14 buttons left.How many buttons has she already sewn on?

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Be sure you understand the problem.Read carefully.

What do you know?

Ms. Green had buttons to sew on dolls.

She has buttons left.

What do you need to find?

You need to find how many

.

Make a plan. Choose a strategy.

You can write a number sentence to solve the problem.

Since you know the original total and the number left, you can write a subtraction sentence.

Make a Table or List

Write a NumberSentence

Work Backward Act It Out Find a Pattern Make a Graph Guess and Check Logical Reasoning Solve a Simpler

Problem Draw a Picture

ReadStep 1

PlanStep 2

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SolveStep 3

Look BackStep 4

Practice1. Keshawn spends $45 on glass and

copper molding. He pays with ahundred-dollar bill. How muchchange does Keshawn get back?

2. Melanie sells a model sailing ship anda model airplane for a total of$40.95. She receives $23.49 for theship. How much money does Melaniereceive for the airplane?

Carry out your plan.

You know Ms. Green had buttons to sew on dolls.

You know she has buttons left.

Write a subtration sentence to represent the situation.

29 n 14number of buttons buttons left

buttons she had already sewn on

Then use a related sentence to solve.

number of buttons left buttons alreadybuttons she had sewn on

She has already sewn on buttons.

Is the solution reasonable? Reread the problem.

Does your answer make sense? Yes NoDid you answer the question? Yes No

How can you check your answer?

What other stategies could you use to solve the problem?

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Subtract Using Mental MathSubtract mentally.

1. 46 7 2. 81 36 3. 53 19

4. 99 19 5. $78 $49 6. 92 28

7. 74 38 8. 95 37 9. 64 37

10. 687 48 11. $273 $58

12. 394 86 13. $704 $589

14. 745 597 15. 782 203

16. 613 309 17. 555 299

18. 998 145 19. 578 465

Algebra & Functions Find each missing number.

20. 648 a 548 21. b 60 340

22. c 412 388 23. d 235 665

24. 950 e 400 25. 823 h 123

26. k 599 301 27. 450 m 100

28. 775 n 200 29. r 300 1,456

Problem Solving

30. Josh buys a wooden horse for $4.89.He gives the cashier $5.00. Howmuch change should Josh receive?

31. A bicycle shop has 309 water-bottleholders in stock. Ashley buys 259water-bottle holders from the shop.How many water-bottle holders doesthe store have left?

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Subtract Using Mental MathYou can use these two strategies to subtract mentally.

CompensationUse compensation when one number is close to a ten or a hundred.Add or subtract the same number from both numbers.

Add 2 to 28 to make 30: 28 2 30.

Add 2 to the other number: 95 2 97.

Subtract 3 from 103 to make 100: 103 3 100.

Subtract 3 from 45: 45 3 42.

Zig-zagUse the zig-zag method to subtract 95 28.Take apart 28.

28 20 8

Then subtract each place separately.

Subtract mentally.

1. 26 7 2. 84 32 3. 79 31

4. $58 $17 5. 94 38 6. 86 24

7. 196 49 8. $253 $42

9. 395 91 10. 888 277

11. 245 197 12. $428 $117

13. 482 204 14. 613 307

15. 354 99 16. $755 $402

17. 519 404 18. 505 301

19. $535 $122 20. 350 198

21. 657 312 22. 648 305

75

8

67

95

20

75

95

28

100

42

58

103

45

97

30

67

95

28

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Subtract Using Mental MathCrossnumber Puzzle

Subtract mentally to complete the crossnumber puzzle.

Across DownA. 596 111 A. 626 197

C. 879 65 B. 360 308

E. 281 28 D. 237 105

G. 192 95 F. 591 76

H. 383 99 I. 950 113

K. 1,253599 J. 765 723

M. 194 162 K. 686 28

N. 448 203 L. 635 179

O. 662 25 N. 228 199

Look at N. Down. What method did you use to subtract mentally?

4

2

9 7

8 5

2

6 5

1

5 3

8 1

3

2 8 4

3 2

7

4

4

5

6 3 7

542

9 8

G

A

N

B C D

H I

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J

E F

K L

O

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Estimate DifferencesEstimate each difference. Show your work.

1. 467 215

2. 2,835 1,487

3. $13.95 $7.25

4. 65,074 15,472

5. 174,921 18,421

Subtract. Estimate to check that each answer is reasonable.

6. 7. 8. 9. 10.

11. $0.88 $0.35 12. 787,008 117,584

Compare. Write or to make a true sentence.

13. 4,173 2,589 2,000 14. 8,329 957 7,000

15. $300.00 $367.20 $59.45 16. 600 938 452

17. 15,425 3,535 10,000 18. 8,053 7,645 1,000

19. 42,345 16,174 20,000 20. 48,592 961 4,000

654,026

529,620

242,003

49,887

6,984

322

$81.79

31.55

835

487

Problem Solving

21. There were 787,897 copies of theScience Monthly sold last year. Thisyear, 914,632 copies were sold.About how many more were sold this year?

22. The Hoop Store spends $129.99 foran ad in the Science Monthly. Thestore spends $19.29 for an ad in theAllentown News. About how muchmore does the store spend onadvertising in the Science Monthlythan in the Allentown News?

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Estimate DifferencesTo estimate a difference, you can round each number. Then subtract the rounded numbers.

Estimate 486 27.

Round each number 486 27to the nearest ten.

490 30

Subtract. 490 30 460

So, 486 27 is about 460.

Estimate $6.98 $4.59.

Round each number $6.98 $4.59to the nearest dollar

$7.00 $5.00

Subtract. $7.00 $5.00 $2.00

So, $6.98 $4.59 is about $2.00.

To which place will you round each number? Circle the digits in that place.Then estimate each difference. Show how you rounded.

1. $14.95 $8.35

3. 7,842 799

5. 53,425 20,741

2. $0.78 $0.29

4. $589.10 $85.25

6. 425,697 289,721

Estimate each difference.

7. 529 158

9. 947 349

11. $12.48 $3.98

13. 52,745 47,523

15. 232,500 83,900

8. $683 $475

10. 5,522 1,378

12. 3,241 678

14. 72,393 8,088

16. 809,765 528,750

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Estimate DifferencesA-Mazing Differences

Estimate each difference. Circle the correct answer. Use your answers to find the path through the maze.

1. 961 472 2. 874 215 3. 4,971 2,364 4. 729 346

A. 400 A. 500 A. 3,000 A. 300

B. 500 B. 600 B. 2,000 B. 400

C. 600 C. 700 C. 1,000 C. 500

5. 526 481 6. $8.16 $1.92 7. $72.59 $24.71 8. 9,742 6,381

A. 0 A. $5.00 A. $30.00 A. 2,000

B. 100 B. $6.00 B. $40.00 B. 3,000

C. 200 C. $7.00 C. $50.00 C. 4,000

9. 5,692 3,766 10. 42,874 16,422 11. 69,124 31,346 12. 892,617 85,600

A. 1,000 A. 20,000 A. 40,000 A. 700,000

B. 2,000 B. 30,000 B. 30,000 B. 800,000

C. 3,000 C. 40,000 C. 20,000 C. 900,000

Star

t

Finish

8A7A

9C

1A

1B1C

2B

2C

2A

3C

3A

3B

8B

4C

4A4B

12A

11B

11A 11

C

12C

10B

10C

9B5B

6C6A

7B

7C

8C

7A6B

5A

5C

10A

12B

Name

Use with Grade 4, Chapter 2, Lesson 14, pages 7475. (67) MR 1.1; NS 3.1

Problem Solving: ApplicationApplying Addition and Subtraction

Record your data.

Burgers-to-Go Rubys Healthy Diner Carnival Lunch Menu

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WORKSHEET

DecisionMaking

PartA

214

Your Decision

Where do you think The Outdoor Club should eat? Explain.

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Problem Solving: ApplicationWhich materials block a magnet?

Record your data.

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Math &Science

PartB

214

Material used as blocker Number of paper clips Find the difference.that the magnet can hold (Number of paper clips a

when this material is magnet can hold withused as a blocker no blocker)

minus(Number of paper clips amagnet can hold whenthis material is usedas a blocker)

Magnet only

Magnet with paper

Magnet with foil

Magnet with tape

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Problem Solving: ApplicationWhich materials block a magnet?

1. What is the difference between the number of paper clips a magnetcan hold with no blocker and the number of paper clips a magnetcan hold with each of the different blockers you used?

2. Put the three materials in order from best blocker to worst.

3. Explain the results of your activity in terms of shielding.

4. What are some other materials that you think would be goodblockers? Explain.

5. What are some other materials that you think would be badblockers? Explain.

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214

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Use with Grade 4, Chapter 3, Lesson 1, pages 9295. (70) MR 1.1, 2.3

Tell TimeWrite the time in two ways.

Choose the most reasonable units of time. Write seconds, minutes,or hours.

4. Debbie spends 20 at the dentist.

5. You are in school for about 6 .

6. Jerry walks to the store in 15 .

7. Ben swims underwater for 30 .

Tell how much time.

8. 120 minutes = hours 9. seconds = 3 minutes

10. hour = minutes 11. 15 minutes = hour

12. minutes = 2 hours 13. minutes = 1 hours

Algebra & Functions Describe and complete the conversion patterns.14.

15.

14

12

12

1. 2. 3.

9 48

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Minutes 60 120 180 240 300

Hours 1 2

Minutes 1 2 3 4 5

Seconds 60 120

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Tell TimeYou can read time in different ways.

Read: five-forty Read: forty minutes Read: twenty minutes beforeafter five six or twenty minutes to six

Write: 5:40

Write the time in as many different ways as you can.

5 40

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4.

7.

2.

5.

8.

3.

6.

9.

2 503 204 15

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Tell TimePatterns in Time

The times shown on the clocks are in a pattern. What time would the next clock show? What is the pattern?

1.

Time: Pattern: Increase by hour.

2.

Time: Pattern: Decrease by hour.

3.


4.

Time: Pattern: Decrease by hour.

5.


1211109

87 6 5

43

21 1211

109

87 6 5

43

21 1211

109

87 6 5

43

21

3 :10 3 :00 2 :50

1211109

87 6 5

43

21 1211

109

87 6 5

43

21 1211

109

87 6 5

43

21

5 :45 5 :30 5 :15

1211109

87 6 5

43

21 1211

109

87 6 5

43

21 1211

109

87 6 5

43

21

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Elapsed TimeHow much time has passed?

1. Begin: 12:00 P.M. 2. Begin: 1:15 A.M. 3. Begin: 11:05 P.M.

End: 2:20 P.M. End: 1:50 A.M. End: 1:00 A.M.

4. Begin: 2:25 A.M. 5. Begin: 3:40 P.M. 6. Begin: 5:45 A.M.

End: 5:40 A.M. End: 12:00 A.M. End: 12:15 P.M.

7. Begin: 8:10 P.M. 8. Begin: 9:30 A.M. 9. Begin: 10:35 P.M.

End: 1:55 A.M. End: 2:10 P.M. End: 8:00 A.M.

What time will it be in 1 hour 20 minutes?

10. 11. 12.

Algebra & Functions Write the missing numbers.

13. 5:16 A.M. is minutes after 5:00 A.M.

14. 2:45 P.M. is minutes before 3:00 P.M.

15. 7:22 P.M. is hours minutes after 7:00 P.M.

16. 9:58 A.M. is minutes before A.M.

Problem Solving

8 50

17. Lisa leaves her house at 8:45 A.M.She gets to karate class 35 minuteslater. At what time does Lisa getto karate class?

18. The Big Beach bus leaves the city at6:40 P.M. The bus arrives at thebeach at 8:25 P.M. How long is thetrip to the beach?

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First count the number of hours.

From 8:20 to 11:20 is 3 hours.

Then count the number of minutes.

From 11:20 to 11:35 is 15 minutes.

How much time has passed?

1. Begin End 2. Begin End



2 15 2 356 00 10 30

12 15 3 15

Elapsed TimeElapsed time is the amount of time that passes from the start to theend of an action. Follow these steps to find how much time haselapsed from 8:20 A.M. to 11:35 A.M.

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So, 3 hours 15 minutes have passed.

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Elapsed TimeFlying Time

Use the time zone map to answer each question. Show your answer in localtime. Remember to include the time zone; for example, 7:00 A.M. Central Time.

1. It takes about 5 hours to fly from Los Angeles to New York City. If a plane leaves Los Angeles at 8:00 A.M., at what time will it arrive in New York City?

2. It takes 4 hours 30 minutes for a plane to fly from Atlanta to Phoenix. If a plane departs from Atlanta at 10:00 A.M., at what time will it arrive in Phoenix?

3. A plane flew from Seattle to Atlanta. It arrived in Atlanta at 1:05 A.M. The flight lasted for 5 hours 40 minutes. At what time did it depart from Seattle?

4. The flight between Dallas and Miami takes 2 hours 41 minutes. Complete the flight schedule below.

5. How did you adjust for the time zones in your answers?

New York City

Atlanta

Miami

Phoenix DallasLos Angeles

Seattle

1211109

87 6 5

43

21 1211

109

87 6 5

43

211211

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87 6 5

43

211211

109

87 6 5

43

21

Eastern TimeCentral TimeMountain TimePacific Time

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Depart Dallas Arrive Miami Depart Miami Arrive Dallas

7:00 A.M. CT 2:30 P.M. ET

9:10 A.M. CT 4:45 P.M. ET

11:20 A.M. CT 6:57 P.M. ET

Name


CalendarUse the calendars for July and August for exercises 18.

1. What is the date of the fourthThursday in July?

3. Cindy will return from vacation onthe Monday after Nick arrives. Onwhich date will Cindy return?

5. Justin is moving to a new town onAugust 1. The movers are coming 4 days before that. On which date will the movers arrive?

7. Nick will leave on August 30.For how many weeks will he visit?

2. On which day of the week isIndependence Day?

4. If soccer camp runs from July 7through the following Saturday, howlong is soccer camp?

6. Jason has a violin lesson everyWednesday. How many lessons willhe have in July and August?

8. Pat saw the dentist on July 25. He hasanother appointment 10 days later. Onwhich date is Pats appointment?

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July 2000S M T W T F S

1

2 3 4 5 6 7 8

9 10 11 12 13 14 15

16 17 18 19 20 21 22

23 24 25 26 27 28 29

30 31

August 2000S M T W T F S

1 2 3 4 5

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20 21 22 23 24 25 26

27 28 29 30 31

Nickarrives!

Footballpracticebegins!

IndependenceDay!

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CalendarYou can use a calendar to find elapsed time.Suppose today is May 8. How many days is it until Mothers Day?Count on from May 8 to May 14. It is 6 days from May 8 to May 14.

Use the calendars above for exercises 18.

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1. How long is it from Flag Day toFathers Day?

3. Sports camp runs from June 19 throughJune 30. How long is camp?

5. On which day of the week is Flag Day?

7. Dave will return from vacation on theMonday after Flag Day. On whichdate will he return?

2. How long is it from Mothers Dayto the following Sunday?

4. How many weeks are there from May1 to June 5?

6. Memorial Day is celebrated on the lastMonday in May. Which date is that?

8. The last day of school is June 7. Tomsbirthday is 5 days before that. Whenis Toms birthday?

May 2000S M T W T F S

1 2 3 4 5 6

7 8 9 10 11 12 13

14 15 16 17 18 19 20

21 22 23 24 25 26 27

28 29 30 31

June 2000S M T W T F S

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29 30 31

FathersDay

Flag Day

MothersDay

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CalendarCalendar Calculations

Use the calendar to solve the problems.

January February March April May June

July August September October November December

S18152229

S

29162330

M

310172431

T

4111825

W

5121926

T

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1. Jamie will start basketball practiceon the first Monday in September.She plans to buy sneakers at leasttwo weeks before practice begins.On which date will basketballpractice begin? Which is the latestdate on which she can buy hersneakers?

3. George's team has its first game onMay 15. They plan to spend fourSaturdays practicing. Then they willspend a week practicing every dayafter school. Which is the latestdate on which they should startpracticing?

2. John plans to go on a skiing trip thethird Friday in December. He mustbuy his ticket 14 days in advance ofthe flight. He wants to make theplane reservations 4 weeks beforebuying the ticket. Which is the latestdate on which he should make hisplane reservations?

4. Holly wants to run her best race thesecond Saturday in June. To train, shewants to do speed workouts for 5weeks. Before she begins speedtraining, she must do endurance runsfor 4 weeks. Which is the latest dateon which she should begin training?

ENRICHE 33

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Use with Grade 4, Chapter 3, Lesson 4, pages 100101. (79) SDP 1.1

Line Plots1. Complete the tally table and line plot for the following data.

Number of Miles Run Each Day by the Members of the Fleet-Footed Club3 2 5 4 6 3 1 5 4 3 2 64 3 5 3 2 2 1 5 4 3 6 32 5 3 1 4 2 5 6 2 3 2

Use the line plot to answer the questions.

2. How many miles did the greatest number of students run?

3. How many members ran 6 miles a day?

4. How many members ran 4 miles or more a day?

5. How many more members ran 4 miles a day than ran 1 mile a day?

6. How many members are in the club?

Use the data below to make a tally table and li

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