Practice Decimal Representation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Writing fractions as digits to the right of a decimal point, using place values of tenths, hundredths, thousandths, etc.
Just like 234 = 200 + 30 + 4, we have 2.34 = 2 + 0.3 + 0.04.
Example 1
easyConvert \dfrac{5}{8} to a decimal by long division, and determine whether it terminates or repeats.
Example 2
mediumConvert 0.\overline{142857} to a fraction in simplest form.
Example 3
easyWrite each fraction as a decimal and classify as terminating or repeating: (a) \dfrac{3}{4}, (b) \dfrac{2}{9}.
Example 4
mediumConvert 0.3\overline{6} to a fraction in simplest form. (Note: only the 6 repeats.)