Real Number System Quiz

What is the classification of a number that cannot be written as a fraction, non-perfect square, non-terminating decimal, or non-repeating decimal?

• Integers

• Natural numbers

• Irrational numbers

• Real numbers

Tags

NC.8.NS.1

Which of the following numbers is a rational number?

• 17

• 72

• 2

• 82

Which of the following numbers is a decimal?

• 1/9

• 0.17

• 23/99

• 6/17

Which of the following numbers is a fraction?

• 0.36

• 16/11

• 62

• 0.03

Which shows the lengths of the diagonals in ascending order?

• 46 2/3, 584, 46.625

• 584, 46.625, 46 2/3

• 584, 46 2/3, 46.625

• 46.625, 46 2/3, 584

The values below represent the heights of 4 candles on Rachel’s mantle: 45in., 2ππin., 6 1/9in., 2/9in. Rachel wants to arrange the candles in ascending order. List the correct order of the lengths.

• 29in., 6 1/9in., 2ππin., 45in.

• 45in., 2ππin., 6 1/9in., 2/9in.

• 45in., 2/9in., 6 1/9in., 2ππin.

• 2ππin., 6 1/9in., 2/9in., 45in.

Everett measured the weight of a substance as a repeating decimal greater than one. Which of the following could be the weight of the substance?

• 26/25 pounds

• 8/4 pounds

• 31/33 pounds

• 100/99 pounds

Place the numbers in the correct column.

Groups:

(a) Irrational

,

(b) Rational

,

(c) Integer

• √175

• -12.2

• 25

• 50.75

• -√9

• 
• -33

• √200

• -6.75

• 9

• 17

• √75

• -10

• 30/3

Tags

NC.8.NS.1

Order 10.5, √105 , and 3π + 1 from least to greatest.

• √ 105 , 3π + 1, 10.5

• 3π + 1,√ 105 , 10.5

• √ 105 , 10.5, 3π + 1

• 10.5, √ 105 , 3π + 1

EXTRA CREDIT (5 pts)

Kaylean entered a problem on her calculator that gave her this result on the screen: "0.19863492...". Would this decimal be considered a repeating decimal? Why or why not?