If 14-287628762876 - can be represented in p - q form- then -p - q - isA- 132863B- 142862C- 142876D- 142863

The correct option is A 132863 Let 'x' = 14.287628762876 —— nbsp;(i) then 10000x = 142876.287628762876 ——–(ii) Subtracting (i) from (ii) we get 10000x ...

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Standard IX

Mathematics

Expressing Decimals as Rational Numbers

If 14.2876287...

Question

If 14.287628762876........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is ________.

132863

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142862

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142876

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142863

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Solution

The correct option is A
132863

Let 'x' = 14.287628762876 ------- (i)

then 10000x = 142876.287628762876 --------(ii)

Subtracting (i) from (ii) we get

10000x - x = 142876.287628762876 - 14.287628762876

9999x = 142862

then 'x' = $\frac{142862}{9999}$

p = 142862, q = 9999

So, p-q = 132863

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If 14.287628762876........ can be represented in pq form, then 'p - q ' is ________.

The correct option is A 132863 Let 'x' = 14.287628762876 ------- (i) then 10000x = 142876.287628762876 --------(ii) Subtracting (i) from (ii) we get 10000x - x = 142876.287628762876 - 14.287628762876 9999x = 142862 then 'x' = 1428629999 p = 142862, q = 9999 So, p-q = 132863

If 14.287628762876........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is ________.

The correct option is A
132863

Let 'x' = 14.287628762876 ------- (i)

then 10000x = 142876.287628762876 --------(ii)

Subtracting (i) from (ii) we get

10000x - x = 142876.287628762876 - 14.287628762876

9999x = 142862

then 'x' = $\frac{142862}{9999}$

p = 142862, q = 9999

So, p-q = 132863