How do you convert -52,300,000 into scientific notation?

Question

5351 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-12T23:32:10

The number in standard scientific notation is $-5.23× 10^7$ .

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 $"-52,300,000"$ .

The negative sign remains unchanged.

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, $"-52,300,000"$ becomes $"-5.230,0000"$ .

The trailing zeroes are not significant, so $"-5.230,0000"$ becomes $-5.23$ .

We moved the decimal point seven places, so the exponent is $7$ .

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

The exponential part is therefore $10^7$ .

$"-52,300,000" = -5.23 × 10^7$