Question

a
13. Express the following in the form P, where p and q are integers and q +0.
(i) 0.6
(ii) 0.47
(iii) 0.001
(iv) 0.54
(v) 0.59
(vi) 0.345
(vii) 32.1235
(viii) 0.37​

Answer 1

Step-by-step explanation:

(i) Let x=0.666 (1)

× by 10 we get

10x=6.666 (2)

Sub (1) from (2), we get

9x=6⇒x=

9

6

=

3

2

Here p=2 or q=3.

(ii) Let x=0.47777 (1)

× by 10 we get

10x=4.7777 (2)

sub (1) from(2), we get

9x=4.3⇒x=

9

4.3

=

90

43

Here p=43 or q=90.

(iii) Let x=0.001001001 (1)

× by 1000 we get

1000x=1.001001 (2)

Sub (1) from (2), we get

999x=1⇒x=

999

1

Here p=1 or q=999.