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Study guide/ practice Unit 1 Test, “Number Sense”

Name:____________________________________________________________________________________Date:_____/_____/__________. Study guide/ practice Unit 1 Test, “Number Sense”.

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Study guide/ practice Unit 1 Test, “Number Sense”

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  1. Name:____________________________________________________________________________________Date:_____/_____/__________Name:____________________________________________________________________________________Date:_____/_____/__________ Study guide/ practice Unit 1 Test, “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: 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) On the back of this cover page is the Unit 1 “Quick Guide” – for your reference.

  2. Unit 1, “Number Sense,” Quick Guide Fraction  Decimal “Take the top #, divide by the bottom #!” 1 = 8 I 1 8 (turn the fraction clockwise) Negative exponents do NOT make the answer negative!! 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

  3. Converting fractions, decimals, and percents Converting between Percents and Decimals: 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 Converting a Fraction to a Decimal: “Take the top #, Divide by the bottom #!” “To the left, to the left!” Converting a Decimal to a Fraction: READ IT, ______________ IT, REDUCE IT!!! “To the right, to the right!”

  4. Ordering rational NUMBERS Order the following #’s in the order indicated: Multiple Choice: Which of the following is equivalent to 5/8 ? A. 62.5 B. 62.5% C. 6.25 x 10-3 D. 5.8 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 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. exponents Fill in the following powers of 10 chart : Evaluate the following powers of 10 (use the pattern . . .): Evaluate the following powers of 10 with negative exponents. You must give both the fraction and decimal form: Evaluate the following powers with positive exponents: Evaluate the following powers with negative exponents:

  6. Perfect square #’s and 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?: 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? __________

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

  8. Miscellaneous Multiple Choice:

  9. Place the following numbers in the correct spot on the below number line:

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