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Find the Value Of: 1. 32 - 0.91 - Mathematics

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Question

Find the value of:

1. 32 - 0.91

Sum

Solution

Let x = 1.32   ....(i)
⇒ 100x = 132.32   ....(ii)
Subtracting (i) from (ii),
99x = 131
⇒ x = `(131)/(99)`
Let y = 0.91
⇒ 10y = 9.1   ....(iii)
⇒ 100y = 9.1   ....(iv)
Subtracting (iii) from (iv),
90y = 82
⇒ y = `(82)/(90)`
= `(41)/(45)`
∴ 1.32 - 0.91 = x - y
= `(131)/(99) - (41)/(45)`

= `(131 xx 5 - 41 xx 11)/(495)`

= `(655 - 451)/(495)`

= `(204)/(495)`
= 0.412

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Chapter 1: Irrational Numbers - Exercise 1.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 1 Irrational Numbers
Exercise 1.1 | Q 12.2
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