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Study Guide “Number Sense Test”

Name: Date:. Study Guide “Number Sense Test”.

richard-ayala
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Study Guide “Number Sense Test”

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  1. Name: Date: Study Guide “Number Sense Test” Note: Many problems in this packet will be completed together in class during review time. Students 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: Perfect Square #’s and Square Roots The Real Number System 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 NOTES SPACE/HELPFUL TIPS (to be filled out in class):

  2. Square Roots Fill in the missing information in the below “perfect square” table: Find the square root of the following numbers: Between which two consecutive WHOLE numbers do the following #’s fall between?: 21 Nancy wants to plant a square garden. The area of the garden will be 86 sq. ft. About how long will each side be? __________ 22. What perfect square # does the square to the right represent? __________ What is its square root? __________

  3. Real Number System Use the below word bank to correctly label the subsets of the Real Number System onto the below diagram: Use the above diagram to place the following numbers into the SMALLEST SUBSET (most specific) of the Real # System that each number is a member of:

  4. Real Number System Multiple Choice: Which number is an integer, but not a whole number? A. 26 B. 17 C. 0 D. -5 Which number is irrational? A. √36 B. √15 C. √9 D. √4 Which subset of real numbers contains √12? A. Integers B. Rational #’s C. Irrational #’s D. Natural #’s Which number is rational? A. 925.96 B. √23 C. π D. -√37 Which number is a natural, whole, and integer number? A. 14 B. 0 C. -2 D. -13 Answer the following statements with “TRUE” or “FALSE.” 6. ____________________ All integers are also rational. ____________________ All natural numbers are also integers. ____________________ All integers are also natural. ____________________ All square roots are irrational. ____________________ Zero is a natural number.

  5. Fraction, Decimal, Percent Fill in the below missing spaces by converting among fractions, decimals, and percents:

  6. Scientific Notation Convert the following numbers into scientific notation. 4,500,000 0.000064 15,013,000 230,000,000,000 1,200 0.0000924 0.0043 Convert the following numbers into standard notation: 2.5 x 103 3.025 x 10-2 8.452 x 107 9.36 x 10-5 4.23 x 104 2.8 x 100 7.4 x 10-6 Rewrite the following numbers in ascending order. 1.1x10-4 9.1x1010 6.41x101 7.234x10-8 16. 9.231x100 1.34x10-5 3.202x10-3 6.2x10-2

  7. Ordering Numbers Put the following in ascending order: ¾, 75.5%, .7, .07, 7.5 x 103 1/2, 51%, .05, 5.01 x 10-2 22%, 1/50, 2/5, 2.5 x 101 6.6 x 10-1, 2/3, 0.06, .65% Put the following in descending order: .037, 37%, 3/8 , 0.3, 3.7 x 10-4 9/10, 9%, 0.009, 9.15 x 103 7/4, 231%, 1.4, 2.5 x 103 7/8, 0.8%, 0.78, 7.5 x 10-2

  8. Multiple Choice: 1. Which of the following is equivalent to 5/8 ? 2. Four students recorded their scores on a quiz in different ways. Which score is the highest? 3. Which of the following is equivalent to 0.85? 4. Which of the following is not equivalent to the other three ? 5. Which number has the greatest value? 6. Which number has the least value?

  9. Thinking Questions Draw a picture of a perfect square. How do you know that it is a perfect square? What is the difference between a perfect square and a non perfect square? Why does every square root have a positive answer and a negative answer? Why can there never be a negative sign on the inside of a radical symbol? Can a fraction be an integer? Are all square roots irrational numbers? How do you classify non-ending decimals? Why is it useful to write numbers in scientific notation? What is the difference between a negative power and a positive power? Place the following numbers in order on the below number line: 1

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