## 1.5 Writing Recurring Decimals as Ratios of Integers [15m]

WRITING RECURRING DECIMALS AS RATIOS OF INTEGERS

EXERCISE: Express the following in the form $\frac{p}{q}$, where p and q are integers and q ≠ 0.

(i) $0.\overline{6}$    (ii) $0.4\overline{7}$    (iii) $0.\overline{001}$

SELF PRACTICE: Express the following in the form $\frac{p}{q}$, where p and q are integers and q ≠ 0.

(i) $0.\overline{7}$   (ii) $0.5\overline{8}$   (iii) $0.\overline{002}$

EXERCISE: Express 0.99999…. in the form$\frac{p}{q}$. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.

SELF PRACTICE: Express 0.499999999... in the form$\frac{p}{q}$

Discussion