How do you convert 3683000 into scientific notation?

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Answer 1 · 2015-07-12T23:10:18

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

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 $3683000$ .

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 $10^6$ .

$3683000 = 3.683 × 10^6$