मराठी

Express Each of the Following as a Rational Number in Its Simplest Form: (I) `2. Bar (24)` - Mathematics

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प्रश्न

Express each of the following as a rational number in its simplest form: 

(i) `2. bar (24)`

उत्तर

Let x = ` bar (2.24)`
∴ x = 2.2444                    …(1)
10x = 22.444                    …(2)
100x = 224.444                  …(3)
On subtracting equation (2) from (3), we get
90x = 202 ⇒ x =` 202/90 = 101/45`
∴ `bar (2.24) = 101/45`

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पाठ 1: Real Numbers - Exercises 3

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