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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 COVERED ON “NUMBER SENSE” TEST: Converting among Fractions, Decimals, and Percents Scientific Notation (both large AND small #’s– positive exponent and negative exponent) Comparing Rational #’s (“greater than” or “less than”) Ordering Rational #’s (mixture of fractions, decimals, %’s, scientific notation) General Fraction, Decimal, % Word Problems Exponents Perfect Square #’s and Square Roots NOTES SPACE/HELPFUL TIPS (to be filled out in class): Name: Date:

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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!!! 2

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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. 3

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COMPARING DECIMAL NUMBERS Directions: Look at the below examples. Then, complete #’s 1 – 10: 4 Arrange the following decimals in order of size, from smallest to largest. You may wish to attach zeros at the end in order to compare.

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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% 5

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Exponents 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: Evaluate the following powers of 10 with negative exponents. You must give both the fraction and decimal form:

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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 7

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Miscellaneous Multiple Choice: 8

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

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