Classifying Real Numbers and Estimating Square Roots

1.

Which of the following represents a fraction that converts to a repeating decimal with a value less than one?

• 1/2

• 4/3

• 9/10

• 4/9

Which of the following sets does not contain any irrational numbers?

• {-5.12, π, 30}

• { 92, 100, 5.1238987...}

• {80, 100, 6.56}

• {5.123787..., 12, -65}

Raphael’s neighborhood kid’s pool is shaped like a square with an area of 120 ft²

. What is the approximate side length of the pool? (Between which two whole numbers?)

• 1 and 2

• 2 and 0

• 10 and 11

• 11 and 12

Heather is putting together a square bulletin board for her new room, and the area of the bulletin board is 196 cm².

What is the total distance around the bulletin board?

• 56 cm

• 14 cm

• 28 cm

• 19.6 cm

Estimate the value of the square root of 13. (Between which two whole numbers?)

• 1 and 2

• 3 and 4

• 5 and 6

• 1 and 3

Which of the following correctly classifies the number -5 to all of the number sets which it belongs?

• Real, Irrational

• Real, Rational, Integer

• Real, Rational

• Real, Rational, Integer, Whole

Which of the following statements is NOT true?

• All integers are rational numbers.

• Some rational numbers are whole numbers

• All whole numbers are natural numbers

• All irrational numbers are real numbers

Which of the following could not be represented by “B”?

• -1 1/2

• -7

• 0

• -30/2

Which of the following could be represented by “E”?

• 8.6666666666

• 2√64

• -1.234

• √72

Which of the following values could belong in “A”, “B”, “C”, and “D”?

• 0.5

• -10

• √9

• -24/6