Question

Convert the following recurring decimals into rational numbers.
(a) 0.7 (b) 0.89 (c) 0.567 (d) 0.243​

Answer 1

0.7 =

$\frac{7}{10}$

0.89

$\frac{89}{100}$

0.567

$\frac{567}{1000}$

0.243

$\frac{243}{1000}$

Answer 2

0.7=7/10
Because after point there is 1 digit so we will add 1 zero after 1
0.89=89/100
Because after point there is 2 digit so we will add 2 zero after 1
0.567=567/1000
Because after point there is 3 digit so we will add 3 zero after 1
0.243=243/1000
Because after point there is 3 digit so we will add 3 zero after 1