Learning Objective

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4th Grade Number Sense 1.3 (2Q)Round whole numbers through the millions to the nearest ten,

hundred, thousand, ten thousand, or hundred thousand.Lesson to be used by EDI-trained teachers only.

Learning Objective

Today, we will round numbers.

CFUWhat are we going to do today?

Activate (or provide) Prior Knowledge

Circle the number in the thousands place. A. 53,231

B. 84,562

Circle the number in the ten thousands place.

C. 261,284

D. 479,561CFUStudents, you already know how to identify the place value of numbers. Today, we are going to use place value to round numbers.

Name __________________________

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Place Value

A digit is a number from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Place value: The place is the position of a digit in a number. The value is the worth of the digit due to its position.




Concept Development

To round a number is to change a number to a near value.• Rounding makes a number simpler by replacing all digits

after the selected1 digit with 0.

Rounding DownRounding down changes the number to a lesser value.• Round down when the digit to the right of the

selected digit is 4 or less.• When rounding down the selected digit stays the same.

4,352,807

Round to the nearest ten thousand.

4,350,000rounds down to

CFUWhen rounding 7,819,623 to the nearest hundred thousand, will the number be rounded up or rounded down? How do you know?

When rounding 7,819,623 to the nearest ten thousand, will the number be rounded up or rounded down? How do you know?

In your own words, what does it mean to round a number? To round a number means to __________.

A round down B round up

A round down B round up

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Place Value

1 chosen

Rounding UpRounding up changes the number to a greater value.

• Round up when the digit to the right of the selected digit is 5 or more.

• When rounding up the selected digit is increased2 by 1.

4,352,807

Round to the nearest hundred thousand.

4,400,000rounds up to

2 made larger

Go to Skill Dev.Go to Skill Dev.




Skill Development/Guided Practice

Round numbers.

Step #1: Read the problem and identify3 the place value of the selected digit. (underline)Step #2: Identify the selected digit in the number. (circle)Step #3: Determine4 whether to round up or down. Hint: Look at the digit to the right of the selected digit.Step #4: Round the number. Hint: Replace all digits after the selected digit with 0.3 find

4 figure out

Rounding down changes the number to a lesser value.• Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.• Round up when the digit to the right of the selected digit is 5 or more.

1. 8,217,462 rounded __________ to the nearest thousand is _________________. down 8,217,000

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Place Value

2. 7,557,065 rounded __________ to the nearest thousand is _________________.

4. 7,574, 065 rounded __________ to the nearest ten thousand is _________________.

3. 8,213,462 rounded __________ to the nearest ten thousand is _________________.

5. 1,804,652 rounded __________ to the nearest thousand is _________________. up 1,805,000




7,557,000

8,210,000

7,570,000

5,393,000

1,850,000

9,470,000

up

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down

down

down

CFU (#2) How did I/you identify the place value of the selected digit?(#3) How did I/you determine to round up or down?(#4) How did I/you round the number?

Back to Concept Development




Relevance

1. Rounding numbers will make it easier to add large numbers.

2. Rounding numbers will help you do well on tests.

CFUDoes anyone else have another reason why it is relevant to round numbers? (pair-share) Why is it relevant to round numbers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?

$19.89

The music bookcosts about $20

Learn to sing.

Nichole wants to buy two copies of this book so that she and her friend can learn to sing.






down

up

6,247,000

8,759,000



Step #1: Read the problem and identify the place value of the selected digit. (underline)Step #2: Identify the selected digit in the number. (circle)Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit.Step #4: Round the number. Hint: Replace all digits after the selected digit with 0.



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Place Value

Skill Closure

Constructed Response Closure

Summary Closure

What did you learn today about rounding numbers? (pair-share)

Day 1 _________________________________________________________________________________________________________________________________________________________________________Day 2_________________________________________________________________________________________________________________________________________________________________________

When rounding to the nearest hundred thousand Isaac determined that 8,758,635 will be rounded down. Is he correct or incorrect? Explain your answer.________________________________________________________________________________________________________________________




Independent Practice Name __________________________

Round numbers.






2. 3,292,707 rounded __________ to the nearest ten thousand is _________________. 3. 6,892,707 rounded __________ to the nearest thousand is _________________. up

up

down

down

4. 5,659,200 rounded __________ to the nearest hundred thousand is _________________.


down

up

6,893,000

9,754,000

3,290,000

8,650,000

1,580,000

5,700,000

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Place Value

7. 2,561,190 rounded __________ to the nearest hundred thousand is _________________. up 2,600,000

8. 2,561,190 rounded __________ to the nearest thousand is _________________. down 2,561,000




Periodic Review 1 Name __________________________

Round numbers.




1. 3,313,546 rounded __________ to the nearest ten thousand is _________________. down



3. 6,456,708 rounded __________ to the nearest hundred thousand is ________________.

5. 7,592,732 rounded __________ to the nearest thousand is _________________. up



7. 8,654,200 rounded __________ to the nearest thousand is _________________. down

down

down

up

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down

3,310,000

7,593,000

8,654,000

1,517,000

9,990,000

8,670,000

6,500,000

1,200,000

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Place Value





Round numbers.












up

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up 4,101,000

8,658,000

7,827,000

5,350,000

7,680,000

2,010,000

5,300,000

4,600,000

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Place Value





1. 7,334,450 rounded __________ to the nearest hundred thousand is _________________. down








up

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down

Round numbers.




5,667,000

2,825,000

5,922,000

1,990,000

2,000,000

1,300,000

6,600,000

7,300,000

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Place Value




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Learning Objective

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