2. Express as a rational number in the form of
(1) 0.5333
(ii) 0.21042104
(iii) 2.24689689
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Answer:
(i) 0.533(3 par bar)
let x=0.533(3par bar)
multiply both by 10
10x=5.33(3par bar)
10x=4.8+0.533(3 par bar)
10x=4.8+x
10x-x=4.8
9x=4.8
x=4.8/9
x=48/90
(ii) 0.2104(2104 par bar)
let x=0.2104
multiply both by 10000
10000x=2104.2104.....
10000x=2104+0.2104....
10000x=2104+x
10000x-x=2104
9999x=2104
x=2104/9999
(iii)2.24689(689 par bar)
let x=2.24689....
multiply both by 1000
1000x=2246.89689...
1000x=2244.65+3.24689....
1000x=2244.65+x
1000x-x=2244.65
999x=2244.65
x=224465/99900
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