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What is obtained by dividing 0.819 by 0.013?

Answer and explanation

Correct answer: 63

The governing concept is decimal division: multiplying both dividend and divisor by the same power of 10 does not change the quotient. Since 0.013 has three digits after the decimal point, multiply both numbers by 1000. Thus 0.819 ÷ 0.013 = 819 ÷ 13. Because 13 × 63 = 819, the quotient is 63, so option B is correct. The decimal shift must be applied equally to both numbers; shifting only one number would alter the problem. Option A and option D are ten times smaller than the correct result because of an incorrect shift or placement of the decimal point. Option C is ten times larger and commonly comes from shifting in the opposite direction too far.

Related tags

Decimal DivisionDecimal RepresentationNumber SystemsDecimal RepresentationNumber SystemsMathematicsClass 9 Mcq

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