मराठी

Express the following in the form pq, where p and q are integers and q ≠ 0: 0.888... - Mathematics

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प्रश्न

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.888...

बेरीज

उत्तर

Let x = 0.888........   ...(i)

On multiplying both sides of equation (i) by 10, we get

10x = 8.888.......   ...(ii)

On subtracting equation (i) from equation (ii), we get

10x – x = (8.88) – (0.888)

⇒ 9x = 8

∴ `x = 8/9`

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पाठ 1: Number Systems - Exercise 1.3 [पृष्ठ १०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
पाठ 1 Number Systems
Exercise 1.3 | Q 7. (ii) | पृष्ठ १०

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