# Number Types (1)

In this worksheet, students use their knowledge of integers, counting numbers, rational numbers and irrational numbers.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Concepts and Vocabulary for All Numbers

Difficulty level:

### QUESTION 1 of 10

Natural numbers are counting numbers or their equivalents:

1, 2, 3, 4, 5, 6 .......

Whole numbers are counting numbers and zero:

0, 1, 2, 3, 4, 5 ......

Integers are positive and negative whole numbers and zero:

..... -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 .......

Rational numbers are numbers which can be written as fractions in the form p/q, where p and q are integers and q is not zero:

-5, 2, ¼, ½, 0.75, 1000, 0 .....

When written as decimals, rational numbers either terminate or recur.

Irrational numbers are numbers which cannot be written as fractions:

√2, √5, π

When written as decimals, irrational numbers do not terminate or recur.  They go on for ever without repeating themselves.

Select all the natural numbers.

-41

13

0

51

Select all the whole numbers.

0

4

-4

5

Select all the rational numbers.

0

-4

6

5.3

Select all the natural numbers.

0

√25

7

5.3

Select all the irrational numbers.

0

√25

√3

-5

Select all the integers.

0

√26

√36

-5

Select all the rational numbers.

¾

10/2

π

-22/11

Select all the natural numbers.

0

10/2

9/2

-22/11

Select all the irrational numbers.

0

π

√7

Select all the integers.

√49

-45/3

-7

• Question 1

Select all the natural numbers.

13
51
• Question 2

Select all the whole numbers.

0
4
5
• Question 3

Select all the rational numbers.

0
-4
6
5.3
• Question 4

Select all the natural numbers.

7
√25
• Question 5

Select all the irrational numbers.

√3
• Question 6

Select all the integers.

√36
0
-5
• Question 7

Select all the rational numbers.

¾
10/2
-22/11
• Question 8

Select all the natural numbers.

10/2
• Question 9

Select all the irrational numbers.

π
√7
• Question 10

Select all the integers.

√49
-45/3
-7
---- OR ----

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