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 , we have .
Showing a random 20 of 50 problems.
Example 1
easyWrite each fraction as a decimal and classify as terminating or repeating: (a) , (b) .
Example 2
easyWrite as a decimal.
Example 3
mediumWhat decimal is exactly halfway between and ?
Example 4
easyWhich is larger, or ?
Example 5
mediumWhat decimal is exactly halfway between and ?
Example 6
mediumOrder least to greatest: .
Example 7
easyWrite as a decimal.
Example 8
challengeWithout dividing, explain why cannot be written as a terminating decimal.
Example 9
easyWrite as a decimal.
Example 10
mediumConvert to a fraction in lowest terms.
Example 11
hardA value rounds to at the nearest tenth. Give the smallest possible value.
Example 12
easyHow many tenths are in ?
Example 13
mediumAdd and write the answer as a decimal.
Example 14
easyWrite in expanded form using fractions.
Example 15
challengeA number rounds to when rounded to the nearest tenth. What is the range of possible original values?
Example 16
easyExpand as a sum of place values.
Example 17
mediumRound to the nearest hundredth.
Example 18
challengeExpress (only the repeats) as a fraction in simplest form.
Example 19
mediumWrite as a percent and as a fraction in simplest form.
Example 20
challengeFind the th decimal digit of .