Pass Check: Recurring Decimals & Exact Fractions
Convert recurring decimals to fractions and identify which fractions recur.
Recurring decimal
A decimal where one or more digits repeat forever, e.g. 0.333... or 0.1272727...
Terminating decimal
A decimal that ends after a finite number of digits, e.g. 0.25.
Dot notation
Dots placed above the first and last digit of the repeating block to show recurring decimals, e.g. 0.3̇ means 0.333...
Recurring block
The group of digits that repeats, e.g. in 0.1̇45̇, the block is 145.
Quick check
Mixed quiz
1. Which fraction is equivalent to the recurring decimal 0.222...?
2. Does 1/8 give a terminating or recurring decimal?
3. Which of these fractions gives a recurring decimal?
4. Does 1/6 give a terminating or recurring decimal?
5. Which fraction is equal to the recurring decimal 0.5̇4̇ (0.545454...)?
6. Expand and simplify (sqrt(4) + sqrt(3))^2.
7. Simplify sqrt(45).
8. Expand and simplify (sqrt(3) + sqrt(4))^2.