Math-8 Study Guide “Number Sense”

1. Name: Date: Math-8 Study Guide “Number Sense” 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. 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. Nancy 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? __________

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. Multiple Choice: Which number is an integer, but not a whole number? A. 26 B. 17 C. 0 D. -5 2. 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. 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!”

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

7. COMPARING DECIMAL NUMBERS Directions:

8. Ordering rational NUMBERS Order the following #’s in the order indicated: Multiple Choice: Which of the following is equivalent to 5/8 ? Four students recorded their scores on a quiz in different ways. Which score is the highest? Which of the following is equivalent to 0.85?

9. 6. Which of the following is not equivalent to the other three ? Which number has the greatest value? Which number has the least value? Jerry got a 41/50 on his math test. What is his grade as a percentage? A. 41% B. 78% C. 82% D. 80% Place the following numbers in order on the below number line: 1