Question

How do you write `0.00635` in scientific notation?

Answer 1

`6.35*10^-3`

Explanation:

Assuming we are evaluating this number to 3 significant digits

1) Use the notation X.YZ

ony use the significant numbers in the sequence (i.e don't use any of the zeros before)

So for 3 sig figs, the number is 6.35

2) Than multiply the power of however many place holders there are

the number 0.00635 is to the power 3 place holders

Therefore the final answer in scientific notation is `6.35*10^-3`

Answer 2

`6.35*10^-3`

Explanation:

If the number is a decimal, move the decimal point backwards until you have the first whole number in front of the decimal point. Each 0 is 10, when you move the decimal point backwards, you are taking the 10 and multiplying it by a negative exponent.

Ex: `.00000825= 8.25*10^-6`
`10^-6=.000001`
`8.25*.000001=.00000825`