How do you write #10^-4# as both a decimal and a fraction?

1 Answer
Jan 11, 2017

Answer:

See explanation.

Explanation:

To write the number as a fraction we can use the following identity:

#a^-b=1/a^b#

#10^-4=1/10^4=1/10000#

To change the fraction whose denominator is a power of #10# to a decimal you can write the numerator and then move the decimal point as many places to the left as the number of zeros is which appear in the fraction's denominator.

#1/10000=0.0001#