Free Printable Real Numbers

1.

Write the fraction as a decimal.

$\frac{2}{5}$

a)

0.25

b)

2.5

c)

0.4

d)

$0.\overline{4}$

2.

Write the fraction as a decimal.

$\frac{7}{9}$

a)

0.7

b)

$0.\overline{7}$

c)

1.286

d)

$0.\overline{9}$

3.

Write the fraction as a decimal.

$3\frac{5}{8}$

a)

0.625

b)

1.875

c)

3.6

d)

3.625

4.

Write the fraction as a decimal.

$\frac{11}{15}$

a)

$0.7\overline{3}$

b)

$1.\overline{36}$

c)

$0.\overline{73}$

d)

$1.3\overline{6}$

5.

Write the decimal as a fraction or mixed number in simplest form.

0.375

a)

$\frac{375}{1000}$

b)

$\frac{375}{999}$

c)

$\frac{3}{8}$

d)

$\frac{125}{333}$

6.

Write each decimal as a fraction or mixed number in simplest from.

$5.\overline{6}$

a)

$5\frac{6}{10}$

b)

$5\frac{3}{5}$

c)

$5\frac{6}{9}$

d)

$5\frac{2}{3}$

7.

Solve the equation for x.

$x^2=196$

a)

$14$

b)

$-14$

c)

$\pm14$

d)

$\pm13$

8.

Approximate each irrational number to one decimal place.

$\sqrt[]{70}$

a)

6.8

b)

8.4

c)

7.4

d)

8.9

9.

Rational or Irrational?

$\frac{3}{7}$

a)

Rational

b)

Irrational

10.

Rational or Irrational

$\sqrt[]{49}$

a)

Rational

b)

Irrational

11.

Rational or Irrational?

$\pi$

a)

Rational

b)

Irrational

12.

Rational or Irrational

$\sqrt[]{15}$

a)

Rational

b)

Irrational

13.

Order the numbers from greatest to least.

$\sqrt[]{10},\ \pi,\ 3.5$

a)

$3.5,\ \pi,\ \sqrt[]{10}$

b)

$\pi,\ \sqrt[]{10},\ 3.5$

c)

$3.5,\ \sqrt[]{10},\ \pi$

14.

The $\sqrt[]{40}$ between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

15.

The $\sqrt[]{21}$ is between which two integers?

a)

5 and 6

b)

20 and 22

c)

4 and 5

d)

10 and 11

16.

What is an approximate value for $\sqrt[]{44}$ ?

a)

22

b)

4.4

c)

6.1

d)

6.6

17.

Square root is the inverse (opposite) of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

18.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

19.

Which of the following is not a perfect square?

a)

110

b)

4

c)

1

d)

81

20.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

21.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

22.

12) Which pair of numbers are both between 6 and 7?

a)

b)

c)

d)

23.

What is 11 squared?

11²

a)

132

b)

144

c)

121

d)

22

24.

What is the square root of 36?

$\sqrt[]{36}$

a)

4

b)

6

c)

18

d)

1296

25.

200

a)

is a perfect square

b)

is not a perfect square

26.

121

a)

Is a perfect square.

b)

Is not a perfect square.

27.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

28.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

29.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

30.

What is $4^2$ ?

a)

2

b)

4

c)

8

d)

16

31.

What is $5^2$ ?

a)

2

b)

5

c)

25

d)

125

32.

What is $\sqrt[]{100}$ ?

a)

10

b)

100

c)

200

d)

1

33.

What is $\sqrt[]{36}$ ?

a)

36

b)

6

c)

18

d)

72

34.

What is $2^2$ ?

a)

2

b)

4

c)

1

d)

8

35.

What is $\sqrt[]{144}$ ?

a)

144

b)

144

c)

12

d)

288

36.

What is $\sqrt[]{64}$ ?

a)

64

b)

8

c)

32

d)

128

37.

What is $\sqrt[]{4}$ ?

a)

2

b)

4

c)

8

d)

16

38.

Between which two whole numbers does the $\sqrt[]{115}$ fall?

a)

9 and 10

b)

10 and 11

c)

9 and 11

d)

11 and 12

39.

Between which two whole numbers does the $\sqrt[]{71}$ fall?

a)

10 and 11

b)

9 and 10

c)

8 and 9

d)

7 and 8

40.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

41.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

42.

Convert 0.769769769... to a fraction.

a)

769/999

b)

769/1000

c)

769/100

d)

769/99

43.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

44.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

45.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

46.

What is $\frac{2}{9}$ as a decimal?

a)

0.29292

b)

0.2

c)

0.222...

d)

0.29

47.

0.33333 is considered a ________ decimal

a)

repeating

b)

terminating

48.

A fraction is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

49.

Rational numbers can always be written as a __________.

a)

fraction

b)

decimal

c)

negative number

d)

whole number

50.

A ______ decimal has a finite number of digits, meaning that after a so many places, the decimal ends.

a)

non-terminating

b)

terminating

c)

repeating

51.

A _______ decimal continues infinitely without ending in a sequence of zeros.

a)

non-terminating

b)

repeating

c)

terminating

52.

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely

a)

non-terminating

b)

terminating

c)

repeating

53.

The Siberian Tiger can grow up to $10\frac{2}{5}$ feet long.

Express this length as a decimal.

a)

10.4

b)

10.2

c)

10.5

d)

10.6

54.

$\frac{14}{25}\ =$

a)

0.65

b)

0.56

c)

0.14

d)

0.25

55.

Jessie completed $\frac{3}{10}$ of her math homework.

What is the equivalent decimal of this fraction?

a)

0.10

b)

0.33

c)

0.13

d)

0.3

56.

Classify the following: $\frac{3}{4}$

a)

Rational

b)

Irrational

57.

Classify the following: $\pi$

a)

Rational

b)

Irrational

58.

Select all that apply. What is a rational number ?

a)

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

b)

A rational number is a terminating decimal.

c)

A rational number is a decimal that repeats.

d)

A rational number is a decimal that goes on and on without repeating.

59.

Which of the following numbers is irrational?

a)

2.828427.....

b)

¾

c)

2

d)

-1.325

60.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

61.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

5.1

62.

Is -5/8 a rational number?

a)

yes

b)

no

63.

4.032

a)

Rational

b)

Irrational

Real Numbers

Total questions: 63

Worksheet time: 55mins

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