Math-7 Study Guide “Number Sense”
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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): Math-7 Study Guide “Number Sense” Name: Date:
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Transcript of Math-7 Study Guide “Number Sense”
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 PercentsScientific 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 ProblemsExponentsPerfect Square #’s and Square RootsNOTES SPACE/HELPFUL TIPS (to be filled out in class):
Math-7 Study Guide“Number Sense”
Name:Date:
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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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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COMPARING DECIMAL NUMBERS
Directions: Look at the below examples. Then, complete #’s 1 – 10:
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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.
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. 73 8. 34 9. 182
10. 60 11. 26 12. 83
1. 1014 2. 1012 3. 100
Exponents
Evaluate 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. 15-2 16. 4-3 17. 2-4
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:
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
7
324
81
9
64
196
Miscellaneous
Multiple Choice:
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0.75 40% 0.01 1/10 80% 1/4Place the following numbers in the correct spot on the below number line:
