How do you express 3.08times10^-43.08×104 in standard form?

2 Answers
Apr 24, 2017

Because the exponent of the 10s term is negative we must move the decimal point 4 places to the left:

3.08 xx 10^-4 = 0.0003083.08×104=0.000308

Apr 24, 2017

3.08 * 10^-4 = 0.0003083.08104=0.000308

Explanation:

Since the exponent on 10 is negative 4 , just move the decimal point 4 spaces to the left.
Think of the number this way...

000003.0800000000003.0800000

3.08 * 10^-43.08104 now move the decimal 4 spaces left

00.0003080000000.00030800000

So your answer is

0.0003080.000308


Extra tip: if the exponent was positive you would move the decimal point to the right

3.08 * 10^43.08104

000003.0800000000003.0800000 Move decimal 4 spaces right

0000030800.0000000030800.000

So your answer is

3080030800