Recurring decimals
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. Write 4/9 as a decimal, rounded to 2 decimal places.
2. Write 5/9 as a decimal, rounded to 2 decimal places.
3. Write 4/9 as a decimal, rounded to 3 decimal places.
4. Write 2/3 as a decimal, rounded to 3 decimal places.
5. Write 1/3 as a decimal, rounded to 3 decimal places.
Answer key · Recurring decimals
1. 0.44
4 ÷ 9 = 0.444444…, a recurring decimal: the 4 repeats forever.
To round to 2 decimal places, look at the next digit: 4. It is less than 5, so round down.
4/9 ≈ 0.44
2. 0.56
5 ÷ 9 = 0.555555…, a recurring decimal: the 5 repeats forever.
To round to 2 decimal places, look at the next digit: 5. It is 5 or more, so round up.
5/9 ≈ 0.56
3. 0.444
4 ÷ 9 = 0.444444…, a recurring decimal: the 4 repeats forever.
To round to 3 decimal places, look at the next digit: 4. It is less than 5, so round down.
4/9 ≈ 0.444
4. 0.667
2 ÷ 3 = 0.666666…, a recurring decimal: the 6 repeats forever.
To round to 3 decimal places, look at the next digit: 6. It is 5 or more, so round up.
2/3 ≈ 0.667
5. 0.333
1 ÷ 3 = 0.333333…, a recurring decimal: the 3 repeats forever.
To round to 3 decimal places, look at the next digit: 3. It is less than 5, so round down.
1/3 ≈ 0.333
Try it together
Fold two equal strips of paper into different numbers of equal parts. Find two fractions that cover the same length.