Worked examples

1. Express 1500 in standard (index) form

1500 is 1.5x10x10x10 1.5x10 to the power of 3

Answer:

`1.5times10^3`

2. Express 0.003 in standard (index) form

0.003 is 3x10 to the power of negative 3

Answer:

`3times10^-3`

3. Express 3,878,000,000,000 in standard (index) form

3978000000000 is 3.878x10 to the power of 12

Answer:

`3.878times10^12`

4. Express 0.000,000,083,4 in standard (index) form

0.0000000834 is 8.34 x 10 to the power of negative 8

Answer:

`8.34times10^-8`