1. 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 Percentages Comparing Rational #’s (“greater than” or “less than”) Ordering Rational #’s (mixture of fractions, decimals, %’s, scientific notation) Exponents Perfect Square #’s and Square Roots Scientific Notation (positive exponents and negative exponents) Name:____________________________________________________________________________________Date:_____/_____/__________ Study guide/ practice Unit 1 Test, “Number Sense”

2. 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)

3. Converting fractions, decimals, and percents FractionDecimalPercent 1. 7 / 8 2. 0.05 3. 45% 4. 1 / 3 5.0.4 6.25 % 7. 3 / 5 8.6.2 9.9.5% 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!!! 3

4. Ordering rational NUMBERS #FractionDecimal%Scientific Notation Answer (List in Original Form): 1. 2/32/3 0.659%6.6 x 10 -2 Least to Great: 2. 11/811/8 1.21.12%1.125 x 10 3 Greatest to Least: Order the following #’s in the order indicated: Multiple Choice: 3.Which of the following is equivalent to 5 / 8 ? A. 62.5 B. 62.5% C. 6.25 x 10 -3 D. 5.8 4.Four students recorded their scores on a quiz in different ways. Which score is the highest? A. 80% B. 0.09 C. 9 / 100 D. 9 / 10 5.Which of the following is equivalent to 0.75? A. 75% B. 75 / 10 C. 7.5 x 10 -2 D. 75 6.Jerry got a 41 / 50 on his math test. What is his grade as a percentage? A. 41% B. 78% C. 82% D. 80% 4

5. 7. 5 3 8. 3 4 9. 18 2 10. 6 0 11. 2 6 12. 4 3 1. 10 14 2. 10 12 3. 10 0 Evaluate the following powers of 10 (use the pattern...): 10 10 = 10,000,000,00010 5 = __________________10 0 = __________________ 10 9 = _________________10 4 = __________________10 -1 = __________________ 10 8 = _________________10 3 = __________________10 -2 = __________________ 10 7 = __________________10 2 = __________________10 -3 = __________________ 10 6 = __________________10 1 = __________________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 -5 Evaluate the following powers of 10 with negative exponents. You must give both the fraction and decimal form: 5 exponents

6. 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: Perfect square #’s and square roots 6

7. Scientific notation Standard Form Scientific Notation 1. 6,230,0006.23 x 10 6 2. 8,200 3..000151.5 x 10 -4 4..000027 5. 61,0006.1 x 10 4 6.7.02 x 10 3 7. 0.00929.2 x 10 -3 8.5.26 x 10 -5 9. 2,680,000 10..000025 11.1.2 x 10 4 12.2.789 x 10 3 13. 93,000 14..017 15.8.3 x 10 0 16.7.7 x 10 -4 17. 9,240,000,000 18..00019 19.3.6 x 10 1 20.8.4 x 10 -4 Convert between scientific notation and standard form. A few examples are done for you. 7

8. Miscellaneous Multiple Choice: 8

9. 9 0.7540%0.01 1 / 10 80% 1/41/4 Place the following numbers in the correct spot on the below number line: