### GCSE Maths

Numbers
Algebra
Geometry and Measures
Probability
Statistics

# Standard Form

Standard form is a convenient way to represent very small or very large numbers. A number written in standard form is expressed as , where but , and is an integer.

In other words, .

For example, the speed of light is approximately . In standard form, this is or, when rounded to three significant figures, .

Let’s look at some more examples:

## Examples of Standard Form

Example 1

Rewrite the following numbers in standard form:

a) 125,600,000,000

b) 1,300

c) 0.000001256

d) 0.0013

The standard form of these numbers is:

a) b) c) d) In these examples, is a number such that , and the power is an integer. Large numbers greater than 10 have a positive (e.g., a and b), while small numbers less than 1 have a negative (e.g., c and d).

Example 2

Write down the following numbers in standard form:

i) 14,500,000

ii) 0.00000145

iii) 145

iv) 14.5

v) 0.145

In standard form, these numbers are:

i) ii) iii) iv) v) 