We write 1000 as 10

Small numbers can also be written in standard form. However, instead of the index of the power being positive it will be negative.

So 0.001 is written as 10

5000 would be 5x10

0.005 would be 5x10

5200 would be written as 5.2x10

0.0052 would be written as 5.2x10

Rules for the use of standard form

5000 + 3000 = 5x10

0.001 + 0.002 = 1x10

Don't forget here that 10

5000 + 400 = 5x10

Notice what I have done to the 400 to make both terms raised to 10 to the power 3.

3000 - 2400 = 3x10

(add or subtract the indices)

5000 x 3000 = 5x10

50000/300 = [5x10

Standard form is very useful when you are dealing with numbers like the charge on an electron (1.6x10

Imagine having to write these as:

Electron charge = 0.000 000 000 000 000 000 16 C

Planck's constant = 0.000 000 000 000 000 000 000 000 000 000 000 663 Js