How do you convert 3690 into scientific notation?

1 Answer
Jul 12, 2015

Answer:

The number in standard scientific notation is #3.69 × 10^3#.

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 #3690#.

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, #3690# becomes #3.690#.

The trailing zero is not significant, so we ignore it.

#3.690# becomes #3.69#.

We moved the decimal point three places, so the exponent is #3#.

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

The exponential part is therefore #10^3#.

#3690 = 3.69 × 10^3#