Free Printable Sets of Real Numbers

1.

Choose the number that applies to these sets: Real, Rational, Integer, Whole

a)

-4

b)

4

c)

0.5

d)

1/2

2.

Choose the number that applies to these sets: Real, Rational, Integer

a)

0.245

b)

-1.2

c)

-8

d)

π

3.

Choose the number that applies to these sets: Real, Rational

a)

⅓

b)

√3

c)

∛4

d)

π

4.

Choose the number that applies to these sets: Real, Irrational

a)

-
⅓

b)

-4

c)

√4

d)

π

5.

True or False: All whole numbers are rational

a)

True

b)

False

6.

True or False: Both rational and irrational numbers are real.

a)

True

b)

False

7.

True or False: If a number can be written as a fraction, it is rational.

a)

True

b)

False

8.

Which of these numbers is a whole number?

a)

√25

b)

0

c)

9

d)

All of the above

9.

Put in the symbol to make the statement true... $-17.5\ \ \ \ \ \ \ \ \ \ -\sqrt[]{121}$

a)

>

b)

<

c)

=

10.

Which list shows $\frac{19}{3},\ \sqrt{27},\ and\ 7.2$ in order from least to greatest?

a)

$\frac{19}{3},\ \sqrt{27},\ 7.2$

b)

$7.2,\ \sqrt{27},\ \frac{19}{3}$

c)

$\sqrt{27},\ \frac{19}{3},\ 7.2$

d)

$7.2,\ \frac{19}{3},\ \sqrt{27}$

11.

Which of the following inequality statements is true?

a)

$0\ >\ -5$

b)

$-3\ >\ 3$

c)

$0\ <\ -0.002$

d)

$\sqrt{12}\ >\ 5$

12.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

13.

Convert into its interval notation:

$-8\le x<1$

a)

[-8, 1)

b)

(-8, 1)

c)

[-8, 1]

d)

(-8, 1]

14.

Convert into its interval notation:

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

d)

$\left(-\infty,-9\right]$

15.

Convert into its interval notation:

$x\le6$

a)

$\left(-\infty,\ 6\right]$

b)

$\left(-\infty,\ 6\right)$

c)

$\left[6,-\infty\right]$

d)

$\left[-\infty,\ 6\right)$

16.

Express the following interval in Set notation:
[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

17.

Write the following in interval notation
-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

18.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

19.

Look at the picture. Select the correct interval notation for the given number line.

a)

(-∞, -8) U (-4, ∞)

b)

(-∞, -8] U [-4, ∞)

c)

(-8, -4)

d)

[-8, -4]

20.

Express the following interval in Set notation:
(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

21.

Write the following in interval notation
x < 3 or x ≥ 5

a)

(3, -∞) or (∞, 5]

b)

[-∞, 3) or [5, ∞]

c)

(-∞, 3) or [5, ∞)

d)

(3, -∞] or [∞, 5]

Sets of Real Numbers

Total questions: 21

Worksheet time: 17mins

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