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Express the following in the form pq, where p and q are integers and q ≠ 0: 0.00323232... - Mathematics

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प्रश्न

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

0.00323232...

योग

उत्तर

Let x = 0.00323232  ...(i)

On multiplying both sides of equation (i) by 100, we get

100x = 0.3232.........    ...(ii)

On multiplying both sides of equation (ii) by 100, we get

10000x = 32.3232.........   ...(iii)

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

10000x – 100x = 32.32....... – 0.3232....

⇒ 9900x = 32

∴ `x = 32/9900 = 8/2475`  ...[Dividing numerator and denominator by 4]

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Number Systems - Exercise 1.3 [पृष्ठ १०]

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

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