Free Printable Real Number System Quiz 1 Review

1.

What is $\frac{3}{4}$ as a decimal?

a)

0.34

b)

0.75

c)

1.25

d)

1.33

2.

What is $\frac{7}{8}$ as a decimal?

a)

0.875

b)

0.78

c)

0.125

d)

0.1111

3.

What is $\frac{2}{3}$ as a decimal?

a)

1.333....

b)

0.6666...

c)

0.333...

d)

0.23

4.

What is 2 ⁴/₅ as a decimal?

a)

2.45

b)

0.8

c)

2.8

d)

0.45

5.

Convert 0.36 to a fraction in simplest form

a)

$\frac{9}{25}$

b)

$\frac{36}{100}$

c)

$\frac{36}{10}$

d)

$\frac{9}{250}$

6.

Convert 3.75 into a fraction in simplest form

a)

$3\ \frac{75}{100}$

b)

$3\ \frac{2}{25}$

c)

$3\ \frac{3}{4}$

d)

$3\ \frac{1}{4}$

7.

Suzie ate 0.875 of the dog treats in the box. As a fraction, how much did she eat? Lowest Terms

a)

$\frac{875}{1000}$

b)

$\frac{3}{8}$

c)

$\frac{5}{8}$

d)

7/8

8.

√100

a)

10

b)

200

c)

5

d)

25

9.

Match the following numbers to their squares.

a)

11

1.

121

b)

12

2.

144

c)

13

3.

169

d)

14

4.

196

e)

15

5.

225

10.

Match the following numbers to their square roots.

a)

49

1.

7

b)

64

2.

8

c)

81

3.

9

d)

36

4.

6

e)

25

5.

5

11.

Which square root is between 5 and 6?

a)

$\sqrt{30}$

b)

$\sqrt{2}$

c)

$\sqrt{56}$

d)

$\sqrt{37}$

12.

Which square root is between 8 and 9?

a)

$\sqrt{64}$

b)

$\sqrt{70}$

c)

$\sqrt{99}$

d)

$\sqrt{6}$

13.

Which two consecutive integers is

\sqrt{82}

between?

a)

5 and 6

b)

10 and 11

c)

8 and 9

d)

9 and 10

14.

What two consecutive integers is

\sqrt{5}

between?

a)

4 and 5

b)

3 and 4

c)

5 and 6

d)

2 and 3

15.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

16.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

17.

Is the number rational or irrational?

a)

Rational -

b)

Irrational

18.

Is the number rational or irrational?

a)

Rational

b)

Irrational

19.

Is the number rational or irrational?

a)

Rational

b)

Irrational

20.

(Choose all correct answers)

$-\frac{2}{3}$ is a(n)...

a)

whole number

b)

integer

c)

rational number

d)

none of these

21.

(Choose all correct answers)

0 is a(n)...

a)

whole number

b)

integer

c)

rational number

22.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

23.

Match the following

a)

0

1.

Whole number

b)

-6.8

2.

Rational number

c)

14

3.

Natural / Counting number

d)

-7

4.

Integer

24.

Which of the following are integers?

a)

8

b)

-3

c)

-8

d)

$\frac{4}{10}$

25.

Which of the following are rational numbers?

a)

64

b)

15

c)

$\frac{7}{4}$

d)

7.452

26.

Which of the following is a rational number?

a)

$\sqrt[]{75}$

b)

$95.\overline{3}$

c)

$\sqrt[]{44}$

d)

$\pi$

27.

Classify the number by checking all that apply!

-6.75

(Hint: every number shown is a REAL number!)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

28.

Classify the numbers by checking all that apply!

$\sqrt{175}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

29.

Classify the number by checking all that apply!

$5\pi$
(Anything with $\pi$ is irrational)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

30.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

31.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

32.

Which could be the value of D?

a)

-10

b)

0

c)

$\frac{3}{4}$

d)

2.5

33.

Which could NOT be the value of B?

a)

5

b)

$\frac{1}{2}$

c)

-12.5

d)

$\sqrt{32}$

34.

Which example could be represented by A?

a)

-2.555555...

b)

3.14

c)

$\pi$

d)

$\frac{3}{4}$

35.

Mrs. Mascorro is creating a bulletin board for her classroom. The area is 196 cm². If she wants to add a border around her board, how much border will she need?

(a)

36.

Joey has a swimming pool with an area of 200 ft². About how long is each side? Round to the nearest tenths place.

(a)

Real Number System Quiz 1 Review

Total questions: 36

Worksheet time: 20mins

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