# How do you write 0.00635 in scientific notation?

Apr 4, 2017

$6.35 \cdot {10}^{-} 3$

#### 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 $6.35 \cdot {10}^{-} 3$

Apr 4, 2017

$6.35 \cdot {10}^{-} 3$

#### 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: $.00000825 = 8.25 \cdot {10}^{-} 6$
${10}^{-} 6 = .000001$
$8.25 \cdot .000001 = .00000825$