Free Printable The Real Number System

1.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

2.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

3.

Select all: Which categories does the number 3.7 belong to?

a)

Real numbers

b)

Rational numbers

c)

Integers

d)

Whole numbers

e)

Natural numbers

4.

Select all: Which categories does the number zero belong to?

a)

Rational number

b)

Integer

c)

Whole number

d)

Natural number

5.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

6.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

7.

Classify the following: -78

a)

Integer

b)

integer, real

c)

integer, whole, rational

d)

integer, rational, real

8.

1,378,472,706 can best classified as what?

a)

natural, whole, integer, rational

b)

whole, integer, rational

c)

rational

d)

natural, whole, integer, rational, real

9.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

10.

Classify the following number: 1.01276894...

a)

Rational

b)

Irrational

11.

Classify the following:
√13?

a)

Rational

b)

Irrational

12.

Classify the Number: 120

a)

Counting, whole, integers rational, real

b)

Irrational, real

c)

whole

d)

Whole, counting

13.

What type if number is $\sqrt{2}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

14.

What type of number is $3.\overline{5}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

15.

A _________ _________is a

number that can be written as a quotient of two integers

(a)

16.

An ___________ _________is a

number that cannot be written as a quotient of two integers.

(a)

17.

Real numbers consist of :

a)

Rational Numbers

b)

Irrational Numbers

c)

Arbitrary Numbers

18.

The following are examples of Integers

a)

(1/2, -3, 4, .75)

b)

(.987, .786, -9.9)

c)

(1,-1,2,-2,3,-3)

19.

Any of the numbers {0, 1, 2, 3} etc.

There is no fractional or decimal part. There are no negatives. These would be:

a)

Integers

b)

Whole Numbers

c)

Irrational Numbers

20.

Numbers that can be used for counting. They do not include zero or negatives. What kind of numbers are they?

a)

Whole

b)

Counting

c)

Integers

21.

The diagram shows how some of the subsets of the set of real numbers are related. The letters represent members of the sets.

Terrie wants to replace the letters with actual numbers. Which letter could be replaced with -3?

a)

$n$

b)

$r$

c)

$u$

d)

$x$

22.

Choose ALL the subsets that includes $\frac{1}{9}$ ?

a)

natural

b)

whole

c)

integers

d)

rational

e)

irrational

23.

Select each point plotted on the number line that represents a natural number.

a)

$-5$

b)

$0$

c)

$2.5$

d)

$4$

e)

$6$

24.

The number $\sqrt[]{17}$ is an example of (a) number.

25.

Which number is the smallest?

a)

$\frac{1}{3}$

b)

$\frac{1}{6}$

c)

$1.8\ x\ 10^{-1}$

d)

$0.06\ x\ 10^2$

26.

Which is ordered from least to greatest?

a)

$4.5\ x\ 10^{-1},\ 40\%,\ \frac{4}{100},\ 0.0045$

b)

$40\%,\ 4.5\ x\ 10^{-1},\ 0.0045,\ \frac{4}{100}$

c)

$\frac{4}{100},\ 40\%,\ 4.5\ x\ 10^{-1},\ 0.0045$

d)

$0.0045,\ \frac{4}{100},\ 40\%,\ 4.5\ x\ 10^{-1}$

27.

Which of the following symbols must be used to make the statement true?

$-\ \sqrt[]{81}\ _{ }$ _____ $-\frac{49}{7}$

a)

$<$

b)

$>$

c)

$=$

28.

Which number could be placed in the box to make the sum a rational number?

$-\sqrt[]{81}\ \ +\ \$ _____

a)

$-\sqrt[]{200}$

b)

$\pi$

c)

$\frac{5}{6}$

d)

$\sqrt[]{10}$

29.

Which of the following products is irrational?

a)

$\sqrt[]{49}\ \cdot\ 0.125$

b)

$4\ \cdot\ \pi$

c)

$\frac{2}{3}\ \cdot\ \frac{4}{7}$

d)

$7\ \cdot\ \sqrt[]{25}$

30.

Identify the two numbers between $1.7\ x\ 10^0\ \ \ and\ \ \ \ 195\%$ .

a)

$1.8\ x\ 10^1$

b)

$1\frac{7}{8}$

c)

$18.5$

d)

$\frac{7}{4}$

The Real Number System

Total questions: 30

Worksheet time: 45mins

Similar Resources on Wayground