How do you convert 3,000,000 into scientific notation?

Question

21084 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-13T00:19:26

The number in standard scientific notation is #3 × 10^6#.

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 #"3,000,000"#.

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, #"3,000,000"# becomes #"3.000,000"#.

The trailing zeroes are not significant, so #"3.000,000"# becomes #3#.

We moved the decimal point six places, so the exponent is #6#.

We moved the decimal point to the left, so the exponent is positive.

The exponential part is therefore #10^6#.

#"3,000,000" = 3 × 10^6#