Free Printable Unit 1 Real Numbers (edited 2023)

1.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

2.

a)

Rational, Integer, Real

b)

Whole, Integer, Rational, Real

c)

Irrational, Integer, Real

d)

Irrational, Real

3.

Which of the following is irrational

a)

Square root of 81

b)

Square root of 9

c)

Square root of 144

d)

Square root of 12

4.

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

5.

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

6.

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

a)

Whole

b)

Rational

c)

Integer

d)

Natural

7.

The decimal 0.444... can be written as the following fraction:

a)

4/10

b)

44/10

c)

4/9

d)

44/99

8.

$\frac{4}{10}$ Convert this fraction to a decimal.

a)

0.4

b)

0.04

c)

4

d)

4.10

9.

$\frac{3}{4}$ Convert this fraction to a decimal.

a)

1

b)

0.7

c)

0

d)

0.75

10.

$\frac{4}{5}$ Convert this fraction to a decimal.

a)

8

b)

0.08

c)

0.8

d)

1

11.

Change to a fraction:
0.37

a)

37/100

b)

37/10

c)

37/1000

d)

37

12.

Change to a fraction:
0.18

a)

18/50

b)

9/50

c)

17/50

d)

18

13.

Change to a fraction:
0.05

a)

1/20

b)

1/200

c)

1/2

d)

5

14.

Change to a fraction:
0.08

a)

2/250

b)

2/25

c)

2/100

d)

8

15.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

16.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

17.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

18.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

19.

Identify the fraction equivalent to the decimal below.

a)

2 4/99

b)

2 4/9

c)

2 2/5

d)

2 4/10

20.

Write 76% as a fraction in simplest form.

a)

19/50

b)

19/25

c)

25/38

d)

38/50

21.

Write 0.14 as a percent.

a)

1.4%

b)

140%

c)

14%

d)

0.14%

22.

Change this decimal to a percent:
0.52

a)

52%

b)

.52%

c)

5.2%

d)

.052%

23.

Write 0.6 as a percent.

a)

6%

b)

60%

c)

0.6%

d)

600%

24.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

25.

The area of a square is 100 cm². What is the perimeter?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

26.

13² = ______

a)

225

b)

196

c)

169

d)

166

27.

256 = ______

a)

16³

b)

16²

c)

16

d)

15

28.

√196 = ______

a)

14

b)

14²

c)

15

d)

15²

29.

Which number is the square root of 324?

a)

18²

b)

18

c)

√18

d)

18/2

30.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

31.

Which number is closest to the approximate value of √380?

a)

18.5

b)

19

c)

19.5

d)

20

32.

√17 is between

a)

3 and 4

b)

4 and 5

c)

6 and 7

d)

16 and 25

33.

√40 is between

a)

8 and 9

b)

7 and 8

c)

5 and 6

d)

6 and 7

34.

Point Q is shown on the number line. Which value is best represented by point Q?

a)

√5.4

b)

√29.5

c)

√35.5

d)

√5.9

35.

Which point on the number line best represents the location of √92?

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

36.

Which point on the number line best represents the location of √3?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

37.

$4.\overline{67}$

a)

Rational

b)

Irrational

38.

$\sqrt{49}$

a)

Rational

b)

Irrational

39.

$\sqrt{1000}$

a)

Rational

b)

Irrational

40.

$5.23568...$

a)

Rational

b)

Irrational

41.

$\sqrt{225}$

a)

Rational

b)

Irrational

42.

$\frac{2}{3}$

a)

Rational

b)

Irrational

43.

$\frac{\sqrt{9}}{\sqrt{16}}$

a)

Rational

b)

Irrational

44.

$0$

a)

Rational

b)

Irrational

45.

$-47.3$

a)

Rational

b)

Irrational

46.

$.\overline{6}$

a)

Rational

b)

Irrational

Unit 1 Real Numbers (edited 2023)

Total questions: 46

Worksheet time: 1hrs 25mins

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