What is obtained by dividing 0.432 by 0.016?
Answer and explanation
Correct answer: 27
The governing concept is decimal division by making the divisor a whole number while multiplying both numbers by the same power of 10. The divisor 0.016 has three decimal places, so multiply both dividend and divisor by 1000: 0.432 ÷ 0.016 = 432 ÷ 16. Since 16 × 27 = 432, the quotient is 27. A direct check gives 0.016 × 27 = 0.432, confirming the result. Therefore option B is correct. Option A, 2.7, is ten times too small; option C, 270, is ten times too large; and option D, 0.27, results from moving the decimal point incorrectly. Multiplying both terms by the same nonzero number does not change their quotient, which is why the conversion is valid.
Frequently asked questions
What is the correct answer to this question?
27
Why is this the correct answer?
The governing concept is decimal division by making the divisor a whole number while multiplying both numbers by the same power of 10. The divisor 0.016 has three decimal places, so multiply both dividend and divisor by 1000: 0.432 ÷ 0.016 = 432 ÷ 16. Since 16 × 27 = 432, the quotient is 27. A direct check gives 0.016 × 27 = 0.432, confirming the result. Therefore option B is correct. Option A, 2.7, is ten times too small; option C, 270, is ten times too large; and option D, 0.27, results from moving the decimal point incorrectly. Multiplying both terms by the same nonzero number does not change their quotient, which is why the conversion is valid.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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