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If pq is a rational number and m is a non-zero integer, then pq=p×mq×m. - Mathematics

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प्रश्न

If `p/q` is a rational number and m is a non-zero integer, then `p/q = (p xx m)/(q xx m)`.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

e.g. Let m = 1, 2, 3,...

When m = 1, then `p/q = (p xx 1)/(1 xx q) = p/q`

When m = 2, then `p/q = (p xx 2)/(q xx 2) = p/q`

Hence, `p/q = (p xx m)/(q xx m)`

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Notes

When both numerator and denominator of a rational number are multiplied/divide by a same non-zero number, then we get the same rational number

  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Rationals Numbers - Exercise [पृष्ठ २४७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 8 Rationals Numbers
Exercise | Q 51. | पृष्ठ २४७

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