Question

Express the following decimal expression into rational numbers.
(i) 0.24
(ii) 2.327
(iii) 0.86
(iv) –5.132
(v) 3.17
(vi) 17.215
(vii) 0.0001
(viii) - 21.2137

Answer 1

1. 24/100 2. 2327/1000 3. 86/100 4. -5312/1000 5. 317/100 6. 17215/1000 7. 1/10000 8. -212137/10000

Answer 2

i ) 0.24

= 24/100

= ( 4 × 6 )/( 4 × 25 )

= 6/25 ( p/q form )

ii )2.327

= 2327/1000 ( p/q from )

iii ) 0.86

= 86/100

= ( 2×43 )/(2×50)

= 43/50 ( p/q form )

iv ) -5.132

= -5312/1000

= ( 8 × 664 )/( 8 × 125 )

= -664/125 [ p/q form ]

v ) 3.17

= 317/100[ p/q form ]

vi ) 17.215

= 17215/1000

= ( 5 × 3443 )/( 5 × 200 )

= 3443/200 [ p/q form ]

vii ) 0.0001

= 1/10000 [ p/q form ]

viii ) -21.2137

= -( 212137 )/10000 [ p/q form ]

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