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

Answer 1

See explanation.

We can use the following identity to write the number as a fraction:

#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#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

To write 10^-4 as a decimal, it is 0.0001. To write 10^-4 as a fraction, it is 1/10,000.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.