Question

3. Express the following in the form P, where p and q are integers and q +0.
9
(ii) 0.47
(i) 0.6
(v) 0.59
(iii) 0.001
(vii) 32.1235
(iv) 0.54
(viii) 0.37
(vi) 0.345*
er? With your​

Answer 1

Answer:

Let x=0.4

7

ˉ

(Mixed recurring decimal)

i.e. x=0.47777…(1)

Multiplying (1) by 10, to make it pure recurring decimal, we get

10x=4.7777…(2)

Further multiplying (2) by 10, we get

100x=47.777….(3)

Subtracting (2) from (3), we get

100x–10x=(47.777…)–(4.7777…)

⇒90x=43

⇒x=

90

43

Thus 0.4

7

ˉ

=

90

43