Question

4. 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

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Answer 2

Rational form of decimal expressions :

1 ) 0.24

= 0.24 × ( 100/100 )

= ( 0.24 × 100 )/100

= 24/100

= 6/25 [ p/q form ]

2 ) 2.327

= 2.327 × ( 1000/1000 )

= ( 2.327 × 1000 )/1000

= 2327/1000 [ p/q form ]

3 ) 0.86

= 0.86 × ( 100/100 )

= ( 0.86 × 100 )/100

= 86/100

= 43/50 [ p/q form ]

4 ) - 5.132

= -5.132 × ( 1000/1000 )

= (-5.132 × 1000 )/1000

= - 5132/1000

= - 1283/250 [ p/q form ]

5 ) 3.17

= 3.17 × ( 100/100 )

= ( 3.17 × 100 )/100

= 317/100 [ p/q form ]

6 ) 17.215

= 17.215 × ( 1000/1000 )

= 17215/1000

= 3443/200 [ p/q form ]

7 ) 0.0001

= 0.0001 × ( 10000/10000 )

= ( 0.0001 × 10000 )/10000

= 1/10000 [ p/q form ]

8 ) -21.2137

= -21.2137 × ( 10000/10000)

= -212137/10000 [ p/q form ]

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