How do you convert 0.000347 into scientific notation?

Question

6820 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-12T23:21:44

The number in standard scientific notation is #3.47× 10^(-4)#.

In scientific notation, numbers are written in the form #a × 10^b#, where #a# is the "pre-exponential" part and #10^b# is the "exponential part".

Your number in decimal form is #0.000347#.

To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point.

So, #0.000347# becomes #00003.87#.

The leading zeroes are not significant, so #0003.87# becomes #3.87#.

We moved the decimal point four places, so the exponent is #4#.

We moved the decimal point to the right, so the exponent is negative.

The exponential part is therefore #10^(-4)#.

#0.000387 = 3.87 × 10^(-4)#