Index Notation Worksheet printable pdf download

NUMBER AND ALGEBRA

• NUMBER AND PLACE VALUE

WORKED EXAMPLE 3

Simplify each of the following by ﬁ rst writing as a repeated multiplication and then using index

notation.

ì 3

(3 ì 5)

)

THINK

WRITE

ì 3

Write the question.

= (3 ì 3 ì 3 ì 3) ì (3 ì 3 ì 3 ì 3 ì 3 ì 3)

Write the question using repeated multiplication

= 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3

(that is, in expanded form).

= 3

Write the repeated multiplication using index notation.

ì 3

= 3

Note: 3

Write the question.

)

= 4

ì 4

Write the question using repeated multiplication

= (4 ì 4 ì 4) ì (4 ì 4 ì 4) ì (4 ì 4 ì 4)

(that is, in expanded form).

= 4 ì 4 ì 4 ì 4 ì 4 ì 4 ì 4 ì 4 ì 4

= 4

Write the repeated multiplication using index notation.

= 4

Note: (4

)

(3 ì 5)

Write the question.

= (3 ì 5) ì (3 ì 5)

Write the question using repeated multiplication

= 3 ì 5 ì 3 ì 5

(that is, in expanded form).

= 3 ì 3 ì 5 ì 5

= 3

ì 5

Write the repeated multiplication using index notation.

Note: (3 ì 5)

= 3

ì 5

REMEMBER

1. Index notation is a shorthand way of writing a repeated multiplication.

2. The number being multiplied is the base of the expression; the number of times it has

been written is the index (or power).

EXERCISE

Index notation

FLUENCY

INDIVIDUAL

PATHWAYS

Write 7 ì 7 ì 7 ì 7 using index notation.

WE 1a

eBoo

eBook plus

eBoo

eBoo k

k k

plus

Write each of the following using index notation.

2 ì 2 ì 2 ì 2

Activity 3-A-1

8 ì 8 ì 8 ì 8 ì 8 ì 8

Famous astronomer

10 ì 10 ì 10 ì 10 ì 10

doc-1675

3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3 ì 3

Activity 3-A-2

Famous

6 ì 6 ì 6 ì 6 ì 6 ì 6 ì 6

mathematician

13 ì 13 ì 13

doc-1676

12 ì 12 ì 12 ì 12 ì 12 ì 12

Activity 3-A-3

9 ì 9 ì 9 ì 9 ì 9 ì 9 ì 9 ì 9

Famous physicist

doc-1677

Write 4 ì 4 ì 4 ì 4 ì 4 ì 6 ì 6 ì 6 using index notation.

WE 1b

Maths Quest 7 for the Australian Curriculum

Index Notation Worksheet

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