What is obtained by dividing 1.134 by 0.018?
Answer and explanation
Correct answer: 63
The governing concept is decimal division using equal scaling. Multiply both dividend and divisor by 1000 so that the divisor becomes an integer: 1.134×1000=1134 and 0.018×1000=18. Therefore 1.134÷0.018=1134÷18. Now 18×60=1080 and the remaining 54 equals 18×3, so 1134÷18=60+3=63. Hence option B is correct. The result can also be checked directly because 0.018×63=0.018×60+0.018×3=1.080+0.054=1.134. Option A is ten times too small, option C is ten times too large, and option D is one hundred times too small. Equal multiplication of both numbers preserves the quotient and prevents incorrect decimal shifting.
Frequently asked questions
What is the correct answer to this question?
63
Why is this the correct answer?
The governing concept is decimal division using equal scaling. Multiply both dividend and divisor by 1000 so that the divisor becomes an integer: 1.134×1000=1134 and 0.018×1000=18. Therefore 1.134÷0.018=1134÷18. Now 18×60=1080 and the remaining 54 equals 18×3, so 1134÷18=60+3=63. Hence option B is correct. The result can also be checked directly because 0.018×63=0.018×60+0.018×3=1.080+0.054=1.134. Option A is ten times too small, option C is ten times too large, and option D is one hundred times too small. Equal multiplication of both numbers preserves the quotient and prevents incorrect decimal shifting.
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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