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Real Number System Quiz

Total questions: 12

Worksheet time: 18mins

Name
Class
Date
1.

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

a)

Integers

b)

Natural numbers

c)

Irrational numbers

d)

Real numbers

2.

Which of the following numbers is a rational number?

a)

17

b)

72

c)

2

d)

82

3.

Which of the following numbers is a decimal?

a)

1/9

b)

0.17

c)

23/99

d)

6/17

4.

Which of the following numbers is a fraction?

a)

0.36

b)

16/11

c)

62

d)

0.03

5.

Which shows the lengths of the diagonals in ascending order?

a)

46 2/3, 584, 46.625

b)

584, 46.625, 46 2/3

c)

584, 46 2/3, 46.625

d)

46.625, 46 2/3, 584

6.

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.

a)

29in., 6 1/9in., 2ππin., 45in.

b)

45in., 2ππin., 6 1/9in., 2/9in.

c)

45in., 2/9in., 6 1/9in., 2ππin.

d)

2ππin., 6 1/9in., 2/9in., 45in.

7.

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?

a)

26/25 pounds

b)

8/4 pounds

c)

31/33 pounds

d)

100/99 pounds

8.

Place the numbers in the correct column.

Categorize the following

√175

√200

√75

-12.2

50.75

-6.75

30/3

-√9

9

-10

17

-33

25

Irrational
Rational
Integer
9.

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

a)

√ 105 , 3π + 1, 10.5

b)

3π + 1,√ 105 , 10.5

c)

√ 105 , 10.5, 3π + 1

d)

10.5, √ 105 , 3π + 1

10.

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?

4 lines
11.

During class, two students evaluated squares and square roots.

1. Find the student who made the mistake.

2. Describe the mistake they made.

3. Give the correct answer.

Dovie: 172 = 289

Cass: √25 = 625

4 lines
12.

EXTRA CREDIT (5 pts)

Simplify the following expression using the properties of exponents.

(-2xy3)(3x6y2)