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Standard (index) form is a shorthand way of writing a very large or a very small number.

It is written as a  number between 1 and 10 (but not equal to 10) multiplied by a power of 10, for example 2.94 × 102 or 4.8 × 10-3.

In this worksheet, we will just look at very large numbers.

 

Example

Change 5830000 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.830000 or 5.83


Next determine the power of 10 that you must multiply 5.83 by, to get back to 5830000.  

In this case it is 6.


So 5830000 = 5.83 × 106

 

Other Examples


112233.92 = 1.1223392 × 105

694000000 = 6.94 x 108

10 questions