Converting large numbers into standard form
Standard form is a useful way of writing very large or very small numbers. Standard form is used a lot in science when working with very large numbers, such as in astrophysics for example.
There are two parts to a number when it is represented in standard form, usually:
A × 10ⁿ
- A is a number, which must be between 1 and 10.
- ⁿ is called the index.
- ⁿ is the power of 10 we multiply A by, to return to the original number.
For example, 42000 can be written as 4.2 × 10⁴
because 4.2 × 10000 = 42000.
Standard form challenge
Download the standard form multiple choice quiz below. You can print it out, or use a pen and paper to answer the questions. The answers are included at the end of the sheet.
Standard form match up
Test your knowledge and see if you can you match up the integer values with the equivalent standard form values.
There's more to learn
Have a look at these other resources around the BBC and the web.