How do you express #3.08times10^-4# 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 = 0.000308#

Apr 24, 2017

Answer:

#3.08 * 10^-4 = 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...

#000003.0800000#

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

#00.00030800000#

So your answer is

#0.000308#


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

#3.08 * 10^4#

#000003.0800000# Move decimal 4 spaces right

#0000030800.000#

So your answer is

#30800#