How do you write 0.678 as a percent?

1 Answer
Dec 10, 2016

Answer:

#0.678 = 67.8%#

Explanation:

Fractions, decimals and percents are all different ways of expressing a value. They mean the same thing and are interchangeable.

A decimal can be written as a fraction with the denominator as a power of 10. In this case 3 decimal places means the denominator is #10^3 = 1000#

#0.678 = 678/1000#

A percent can be written as a fraction with a denominator of #100#

#678/1000 (div10)/(div10) = 67.8/100 = 67.8%#

Another method is #" fraction" xx 100%#

Note that #100% = 100/100 = 1#

Multiplying by 1 does not change the value, only the form.

#0.678 xx 100% = 67.8%#

The first 2 decimal places represent hundredths, so a decimal can be read directly as a percent:

#0.678 = 67.8%#