How do you write #0.00635# in scientific notation?

2 Answers
Apr 4, 2017

Answer:

#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#

Apr 4, 2017

Answer:

#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#