Converting Fractions to Decimals

Algebra Level 1

Convert the fraction 3 5000 \frac3{5000} into decimal representation.

0.06 0.06 0.00003 0.00003 0.0006 0.0006 0.003 0.003

Brilliant Mathematics by Brilliant Mathematics

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2 solutions

Brilliant Mathematics Staff
Aug 1, 2020

It would be easy to convert the fraction into a decimal if the denominator of the fraction is a power of 10.

3 5000 = 3 × 2 5000 × 2 = 6 10 000 = 6 ÷ 1 0 4 = 0.0006 \frac3{5000} = \frac{3\times2}{5000\times2} = \frac6{\num{10000}} = 6\div 10^4 = \boxed{0.0006}

2 Helpful 2 Interesting 1 Brilliant 0 Confused
Hermione Granger
May 14, 2021

Use a calculator dude! 3/5000 is 0.0006. Easy

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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