Maths Dictionary · JSS 2, JSS 3

Number base

Simple meaning

How many digits a number system uses and what each place is worth. We normally use base ten.

Example

In base 5 the places are worth 1, 5, 25, 125, …

See it

From the Converting Between Bases lesson. Try moving things around.

53125
0
5225
2
515
1
501
3

2135 = 58

2 × 25 + 1 × 5 + 3 × 1 = 58

And back again: divide by 5, read remainders upwards ↑

  1. 58 ÷ 5 = 11 r 3
  2. 11 ÷ 5 = 2 r 1
  3. 2 ÷ 5 = 0 r 2

58 = 2135