Question

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3. Express the following in the form P, where p and q are integers and q ≠0.
(1) 0.6
(ii) 0,47
(iii) 0.001​

Answer 1

Answer:

i) let x= 0.6 ...(1)

Multiply both sides with 10

10x = 6.0...(2)

subtract 1 from 2

10x-x = 6.0-0.6

9x= 5.4

x = 5.4/9

x= 6/10

x= 3/5

ii) let x= 0.47...(1)

multiply both sides with 100

100x= 47.0...(2)

subtract 1 from 2

100x-x = 46.53

99x= 46.53

x= 46.53/99

x= 47/100

iii) let x= 0.001...(1)

multiply both sides with 1000

1000x = 1.000....(2)

subtract 1 from 2

1000x-x = 999

999x=0. 999

x= 1/1000

hope it helps..