Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete several problems from each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test. Topics:

Converting among Fractions, Decimals, and PercentagesComparing Rational #’s (“greater than” or “less than”)Ordering Rational #’s (mixture of fractions, decimals, %’s, scientific notation)ExponentsPerfect Square #’s and Square RootsScientific Notation (positive exponents and negative exponents)

Name:____________________________________________________________________________________Date:_____/_____/__________Study guide/ practice

Unit 1 Test, “Number Sense”

On the back of this cover page is the Unit 1 “Quick Guide” – for your reference.

Exponents:10 3 = 10 x 10 x 10 = 1,000

10 -3 = x x = = 0.001

Square Root Examples: = 5 x 5 = 5 = 6 x 6 = 6 = 7 x 7 = 7

Unit 1, “Number Sense,” Quick Guide

Negative exponents do NOT make the answer negative!!

Fraction Decimal “Take the top #, divide

by the bottom #!”

1 = 8 I 1 8(turn the fraction clockwise)

Converting fractions, decimals, and percents

Fraction Decimal Percent1. 7/82. 0.053. 45%4. 1/3 5. 0.46. 25 %7. 3/58. 6.29. 9.5%10. 5/11

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

“To the right, to the right!”

“To the left, to the left!”

Converting between Percents and Decimals:

“Take the top #, Divide by the

bottom #!”

Converting a Fraction to a Decimal:

Converting a Decimal to a Fraction: READ IT, ______________ IT, REDUCE IT!!!

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Ordering rational NUMBERS

# Fraction Decimal % Scientific Notation

Answer(List in Original Form):1. 2/3 0.6 59% 6.6 x 10-2 Least to Great:

2. 11/8 1.2 1.12% 1.125 x 103 Greatest to Least:

Order the following #’s in the order indicated:

Multiple Choice:3. Which of the following is equivalent to 5/8 ?A. 62.5B. 62.5%C. 6.25 x 10-3D. 5.84. Four students recorded their scores on a quiz in different ways. Which score is the highest?A. 80%B. 0.09C. 9/100D. 9/10 5. Which of the following is equivalent to 0.75?A. 75%B. 75/10C. 7.5 x 10-2D. 756. Jerry got a 41/50 on his math test. What is his grade as a percentage? A. 41% B. 78% C. 82% D. 80%

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7. 53 8. 34 9. 182

10. 60 11. 26 12. 43

1. 1014 2. 1012 3. 100Evaluate the following powers of 10 (use the pattern . . .):

1010= 10,000,000,000 105= __________________ 100= __________________109= _________________ 104= __________________ 10-1= __________________108= _________________ 103= __________________ 10-2= __________________107= __________________ 102= __________________ 10-3= __________________106= __________________ 101= __________________ 10-4= _________________

Fill in the following powers of 10 chart :

Evaluate the following powers with positive exponents:

Evaluate the following powers with negative exponents:13. 7-2 14. 3-3 15. 4-3

4. 10-2 5. 10-4 6. 10-5Evaluate the following powers of 10 with negative exponents. You must give boththe fraction and decimal form:

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exponents

Find the square root of the following numbers :1. = __________ 2. = __________ 3. = __________4 . = __________ 5. = __________ 6. = __________7 . = __________ 8. = __________ 9. = __________10 . = __________ 11. = __________ 12. = __________

Between which two consecutive WHOLE numbers do the following #’s fall between?:13. lies between __________ and __________.

14. lies between __________ and __________.

15. lies between __________ and __________. 16. lies between __________ and __________.17. Bob wants to plant a square garden. The area of the garden will be 86 sq. ft. About how long will each side be? __________18. What perfect square # does the square to the right represent? __________ What is its square root? __________

Fill in the missing information in the below “perfect square” table:12 = _____ 62 = _____ 112 = _____ 162 = _____22 = _____ 72 = _____ 122 = _____ 172 = _____32 = _____ 82 = _____ 132 = 169 182 = 32442 = 16 92 = 81 142 = _____ 192 = _____52 = _____ 102 = _____ 152 = _____ 202 = _____

Perfect square #’s and square roots

√361 √169

√100

√121√9

√ 400√225

√10 √215

√ 40 √95

6

324

81

9

64

196

Scientific notation

StandardForm

Scientific Notation1. 6,230,000 6.23 x 106

2. 8,2003. .00015 1.5 x 10-44. .0000275. 61,000 6.1 x 10 46. 7.02 x 10 3 7. 0.0092 9.2 x 10 -3 8. 5.26 x 10 -59. 2,680,00010. .00002511. 1.2 x 10 412. 2.789 x 10 313. 93,00014. .01715. 8.3 x 10 016. 7.7 x 10 -417. 9,240,000,000 18. .0001919. 3.6 x 10 120. 8.4 x 10 -4

Convert between scientific notation and standard form. A few examples are done for you.

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Miscellaneous

Multiple Choice:

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9

0.75 40% 0.01 1/10 80% 1/4Place the following numbers in the correct spot on the below number line: