How do you convert 3683000 into scientific notation?

1 Answer
Jul 12, 2015

Answer:

The number in standard scientific notation is #3.683 × 10^6#.

Explanation:

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 #3683000#.

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, #3683000# becomes #3.683000#.

The trailing zeroes are not significant, so #3.683000# becomes #3.683#.

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#.

#3683000 = 3.683 × 10^6#