Index notation

The Maths Habit

Fold a sheet of paper in half 10 times. How many layers thick is it?

1024

Index
The small raised number. It tells you how many of the number are multiplied together.
Index form
A short way to write a number multiplied by itself.

2 × 2 × 2 = 23

Write in index form

5 × 5 × 5 × 5

Write as a multiplication

34

3 × 3 × 3 × 3

How many 3s?4Index form34Value81

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

2 × 2 × 2 × 2 × 2

How many 2s?5Index form25Value32

3 × 3 × 3 × 3

How many 3s?4Index form34Value81

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

10 × 10 × 10 × 10

How many 10s?4Index form104Value10 000

3 × 3 × 3 × 3

How many 3s?4Index form34Value81

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

6 × 6 × 6

How many 6s?3Index form63Value216

3 × 3 × 3 × 3

How many 3s?4Index form34Value81

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

7 × 7

How many 7s?2Index form72Value49

3 × 3 × 3 × 3

How many 3s?4Index form34Value81

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

2 × 2 × 2 × 2 × 2 × 2

How many 2s?6Index form26Value64

Index notation worksheet, page 1

Index notation worksheet, page 2

Answer sheet

  1. Which is bigger: 25 or 52?

    25, because 32 is more than 25
  2. Write 81 in index form in two different ways.

    92 and 34

Each fold doubles the layers. Write the number of layers after 10 folds in index form.

210 = 1024

  1. Write 8 × 8 × 8 × 8 × 8 in index form.

    85
  2. Work out the value of 43

    64
  3. Write 1000 as a power of 10.

    103
Exit tickets to print