Free Printable Real Numbers

1.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

2.

Whole numbers are natural numbers together with "zero."

a)

True

b)

False

3.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

4.

The number 5 is which of the following?

a)

an even number

b)

a real number

c)

an irrational number

d)

an infinite number

5.

The number 100 is a perfect square.

a)

True

b)

False

6.

Which of the following numbers is not like the others?

-3 6 0 0.23 -45

a)

-3

b)

0

c)

0.23

d)

-45

7.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

8.

Integers are whole numbers and their opposites.

a)

True

b)

False

9.

All numbers are real numbers.

a)

False

b)

True

10.

The square root of 64 is a natural number.

a)

False

b)

True

11.

What is an example of an integer?

a)

-9

b)

0.567

c)

1/2

d)

-0.957643...

12.

The number 90 is a perfect square.

a)

True

b)

False

13.

What is 42/7

a)

Whole number

b)

Natural number

c)

Integer

d)

All of the above

14.

The square root of 5 is between what two integers?

a)

4 and 5

b)

2 and 3

c)

3 and 4

d)

9 and 10

15.

The square root of 196 is

a)

12

b)

11

c)

13

d)

14

16.

Which one is not a perfect square?

a)

100

b)

49

c)

117

d)

144

17.

1,378,472,706 and best be classified as what?

a)

natural, whole, integer, rational

b)

whole, integer, rational

c)

rational

d)

natural, whole, integer, rational, real

18.

How can -7.5 best be classified?

a)

rational, real

b)

irrational, real

c)

rational

d)

irrational

19.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

20.

π or PI is classified as which?

a)

Rational

b)

Irrational

c)

Rational, Real

d)

Irrational, Real

21.

Classify the following number:
1.01011011101111....

a)

Rational

b)

Irrational

22.

Classify the following:
0.478123123123123123....

a)

Rational

b)

Irrational

23.

Classify the following:
0.04769165821735......

a)

Irrational

b)

Rational

24.

Classify the following:
-78

a)

integer

b)

integer, real

c)

integer, whole, rational

d)

integer, rational, real

25.

What is the definition of integers?

a)

Numbers you count on your fingers and toes

b)

Natural numbers and zero

c)

Whole numbers and their opposites

d)

Terminating or repeating decimals

26.

Classify the following:
√13?

a)

Rational

b)

Irrational

27.

What type of number can be expressed as fraction and its decimal terminates or repeats?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

28.

What number CANNOT be expressed as a fraction and its decimal representation repeats or terminates?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

29.

What number is an integer but not a whole number?

a)

8

b)

-17

c)

0

d)

0.5

30.

What number is an irrational number?

a)

Square root of 25

b)

Square root of 49

c)

Square root of 50

d)

Square root of 81

31.

The number -8 belongs to what number set(s)?

a)

Whole

b)

Integer

c)

Rational

d)

Integer and Rational

32.

Is 0.33333333333... rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

33.

Is square root of 2?

a)

Rational

b)

Irrational

c)

None of the above

d)

Both

34.

Is the square root of 7 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

35.

Is 1/2 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

36.

Classify this number: √25

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

37.

Classify this number: √10

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

38.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

39.

-4 is not a whole number because:

a)

It's negative and whole numbers are positive.

b)

it's irrational.

c)

it cannot be turned into a fraction.

d)

it is even.

40.

8 is a part of the following sets:

a)

Whole Number

b)

Integer

c)

Rational

d)

All of the above

41.

How would 5/9 be classified?

a)

rational and real

b)

whole and integer

c)

only real

d)

only irrational

42.

Is ½ a terminating decimal or a repeating decimal?

a)

terminating decimal

b)

repeating decimal

43.

Classify this number: 2

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

44.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

45.

A never ending decimal that doesn't repeat is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

46.

An integer is also...

a)

Whole

b)

Rational

c)

Irrational

d)

Not real

47.

All whole numbers are integers.

a)

False

b)

True

48.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

49.

A number can be rational and irrational.

a)

True

b)

False

50.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

51.

Which symbol belongs in the parentheses?
√ 8 - 2 ( ) 4 - √ 8

a)

<

b)

>

c)

=

52.

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

a)

√ 105 , 3π + 1, 10.5

b)

3π + 1,√ 105 , 10.5

c)

√ 105 , 10.5, 3π + 1

d)

10.5, √ 105 , 3π + 1

53.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

54.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

55.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

56.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

57.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

58.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

59.

3. Which list of numbers is in order from least to greatest?
A. 5/8, 9/16, 5/12
B. 5/12, 9/16, 5/8
C. 9/16, 5/12, 5/8
D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

60.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

61.

Write this fraction as a decimal.
9/16

a)

.563

b)

.916

c)

.500

d)

1.78

62.

Write this fraction as a decimal.
1/9

a)

9

b)

.111.....

c)

1.9

d)

1.11

63.

2/9 as a decimal

a)

0.222...

b)

0.29...

c)

0.92....

d)

0.4

64.

.75

a)

3/6

b)

3/4

c)

2/6

d)

1/4

65.

.8

a)

4/3

b)

4/5

c)

8/100

d)

8/1000

66.

What is 1.2 as a fraction?

a)

3/25

b)

1/2

c)

1 2/5

d)

1 1/5

67.

What is 1/3 as a decimal?

a)

0.3

b)

0.333333...

c)

0.666666...

d)

0.13

68.

7/16

a)

0.25

b)

0.575

c)

0.4375

d)

0.5

69.

3/16

a)

0.1875

b)

0.25

c)

0.375

d)

0.5

70.

9/16

a)

0.5625

b)

0.5

c)

0.675

d)

0.25

71.

11/16

a)

0.6

b)

0.5875

c)

0.6875

d)

0.71875

72.

1/32

a)

.53

b)

.0215

c)

.03125

d)

.035

73.

1/64

a)

.015625

b)

.03125

c)

.515625

d)

.04

74.

Which decimal is closest to 4/9?

a)

0.4

b)

4.9

c)

0.444

d)

0.49

75.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

76.

Convert 0.35 to a fraction.

a)

35/99

b)

7/20

c)

3.5/100

d)

3/5

77.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

78.

Convert 0.264 to a fraction.

a)

88/333

b)

66/25

c)

2/9

d)

33/125

79.

0.009

a)

9/10

b)

9/100

c)

90/10

d)

9/1000

80.

What is the decimal equivalent of 3/5?

a)

0.3

b)

3.5

c)

0.6

d)

0.2

81.

.75

a)

3/6

b)

3/4

c)

2/6

d)

1/4

82.

.8

a)

4/3

b)

4/5

c)

8/100

d)

8/1000

83.

Which of the following is a fraction that would convert to a terminating decimal?

a)

-⅔

b)

⅘

c)

1 ⅙

d)

8/9

84.

Which of the following is a fraction that would convert to a repeating decimal?

a)

-1/8

b)

4/10

c)

1 1/2

d)

11/9

85.

How is the fraction -2 ¾ expressed as a decimal?

a)

-0.75

b)

-2.75

c)

-5.75

d)

-1.333333

86.

√121

a)

10

b)

11

c)

12

d)

13

87.

√144

a)

10

b)

11

c)

12

d)

13

88.

√169

a)

10

b)

11

c)

12

d)

13

89.

√196

a)

11

b)

12

c)

13

d)

14

90.

√225

a)

15

b)

14

c)

13

d)

12

91.

√17 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

16 and 25

92.

√27 is between

a)

3 and 4

b)

25 and 36

c)

4 and 5

d)

5 and 6

93.

√125

a)

10 and 11

b)

9 and 10

c)

13 and 14

d)

11 and 12

94.

√200 is between

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

95.

√40 is between

a)

8 and 9

b)

7 and 8

c)

5 and 6

d)

6 and 7

96.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

97.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

98.

What is the cube root of 64?

a)

2

b)

4

c)

8

d)

16

99.

What is the cube root of 27?

a)

9

b)

3

c)

-3

d)

-9

100.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

101.

√1

a)

2

b)

1

c)

10

d)

11

102.

Evaluate. 7³

a)

313

b)

323

c)

333

d)

343

103.

Evaluate. 8³

a)

512

b)

398

c)

43

d)

764

104.

Find the AREA of this figure.

a)

20 square feet

b)

20 cm

c)

25 square cm

d)

20 cm sq.

105.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

106.

a)

9

b)

3

c)

1/3

d)

1

107.

Solve each equation for x:

a)

4

b)

4 and -4

c)

16 and -16

d)

16

108.

Solve each equation for x:

a)

9

b)

3

c)

6

d)

12

109.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

110.

Estimate the square root.

a)

3

b)

4

c)

5

d)

6

111.

Estimate the square root.

a)

9

b)

10

c)

11

d)

12

112.

Estimate the square root.

a)

7

b)

8

c)

9

d)

10

113.

Estimate the square root.

a)

1

b)

2

c)

3

d)

4

114.

Find the square root(s).

a)

-½

b)

-⅗

c)

-⅙

d)

none

115.

a)

8

b)

9

c)

10

d)

11

116.

Solve each equation for x:

a)

12

b)

13

c)

14

d)

15

117.

∛216

a)

6

b)

72

c)

108

d)

4

118.

Which of the following best defines rational numbers?

a)

numbers that can be written as a fraction or decimal that either terminates or continues in a repeating pattern

b)

numbers that make sense

c)

numbers that go on forever and ever without a repeating pattern

d)

numbers cannot be written as a fraction

119.

Which of the following best defines irrational numbers?

a)

numbers that can be written as a fraction or decimal that either terminates or continues in a repeating pattern

b)

numbers that make sense

c)

numbers that go on forever and ever without a repeating and cannot be written as a fraction

d)

fractions

120.

A denominator is...

a)

The top part of a fraction

b)

The fraction bar

c)

The bottom part of a fraction

d)

The whole number part of the mixed number

121.

A numerator is

a)

The top part of the fraction

b)

The fraction bar

c)

The bottom part of the fraction

d)

The whole number part of a mixed number

122.

A perfect square is...

a)

a square root of 9

b)

a product of an integer and itself

c)

a number written as a fraction

d)

whole numbers and their opposites

123.

A perfect cube is

a)

a cube root of 64

b)

a number that cannot be written in fraction form

c)

a integer times three

d)

the product of an integer, itself and itself

124.

Any number that can be written in fraction form

a)

Rational Number

b)

Irrational Number

c)

Whole Number

d)

Real Number

125.

A way of writing numbers that are very large or very small

a)

Approximate

b)

Real Numbers

c)

Scientific Notation

d)

Perfect Square

126.

A raised number which represents how many times to multiply the base number

a)

Integer

b)

Real Number

c)

Exponent

d)

Perfect Square

127.

In the expression a^-3, a is called the

a)

base

b)

exponent

c)

monomial

d)

real number

128.

A _______ ________ of a number is one of its two equal factors.

a)

square root

b)

perfect square

129.

A product of repeating factors can be expressed as a

a)

base

b)

power

130.

What is the definition of an Irrational Number

a)

Any number that can be written in fraction form

b)

The set of positive whole numbers and their opposites

c)

Any number that cannot be written in fraction form

d)

A way of writing numbers that are very large or very small

131.

Any number that can be expressed as a ratio of two integers.

a)

Rational Number

b)

Irrational Number

c)

Terminating Decimal

d)

Repeating Decimal

132.

A decimal that stops or ends without having to be rounded.

a)

Terminating Decimal

b)

Repeating Decimal

c)

Rational Number

d)

Irrational Number

133.

A decimal that continues in a pattern.

a)

Repeating Decimal

b)

Terminating Decimal

c)

Rational Number

d)

Irrational Number

134.

A number that is multiplied by itself to form a product is a

a)

Square Root

b)

Cube Root

c)

Principal Square Root

d)

Principal Cube Root

135.

The nonnegative square root of a number is the

a)

Principal Square Root

b)

Perfect Square

c)

Square Root

d)

Cube Root

136.

A square of a whole number is

a)

Perfect Square

b)

Cube Root

c)

Perfect Cube

d)

Principal Square Root

137.

A number that is multiplied by itself three times to produce a product.

a)

Cube Root

b)

Square Root

c)

Principal Square Root

d)

Principal Cube Root

138.

A cube of a whole number.

a)

Perfect Cube

b)

Perfect Square

c)

Principal Cube Root

d)

Principal Square Root

139.

A number that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal.

a)

Irrational Numbers

b)

Rational Numbers

c)

Real Numbers

d)

Integers

140.

A rational or irrational number.

a)

Real Numbers

b)

Scientific Notation

c)

Irrational Numbers

d)

Rational Numbers

141.

A method of writing very large or very small numbers by using powers of 10.

a)

Scientific Notation

b)

Rational Number

c)

Composite Number

d)

Exponent

142.

A decimal that never ends.

a)

Nonterminating Decimal

b)

Terminating Decimal

c)

Rational Number

d)

Irrational Number

143.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

144.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

145.

The set of rational numbers includes all the following except...

a)

-42

b)

5/0

c)

0

d)

14.7

146.

-14 could NOT be which type of number?

a)

Integer

b)

Real

c)

Rational

d)

Natural

147.

Classify 17/10

a)

Whole

b)

Rational

c)

Natural

d)

None of the above

148.

What number below is a natural, whole, integer, rational, and real number ?

a)

-4

b)

5.1

c)

0.7

d)

3

149.

Classify √35.

a)

Rational, Integer

b)

Whole, Integer, Rational

c)

Irrational, Integer

d)

Irrational

150.

Classify 0

a)

Whole

b)

Integer

c)

Rational

d)

All of the above

Real Numbers

Total questions: 150

Worksheet time: 4hrs 57mins

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