Which option is the value of (13/32 − 0.15625)?
Answer and explanation
Correct answer: 0.25
The governing concept is converting equivalent forms before performing subtraction. Convert the fraction to a decimal by dividing 13 by 32. Since 1/32 = 0.03125, multiplying by 13 gives 13/32 = 0.40625. Now subtract the given decimal: 0.40625 − 0.15625 = 0.25000, which is 0.25. Therefore option A is correct. A useful check is to write both numbers with five decimal places; the subtraction is 40625 − 15625 in units of 1/100000, giving 25000/100000 = 0.25. Option B repeats the subtracted number, option C is only the converted fraction before subtraction, and option D is unrelated to the required difference.
Frequently asked questions
What is the correct answer to this question?
0.25
Why is this the correct answer?
The governing concept is converting equivalent forms before performing subtraction. Convert the fraction to a decimal by dividing 13 by 32. Since 1/32 = 0.03125, multiplying by 13 gives 13/32 = 0.40625. Now subtract the given decimal: 0.40625 − 0.15625 = 0.25000, which is 0.25. Therefore option A is correct. A useful check is to write both numbers with five decimal places; the subtraction is 40625 − 15625 in units of 1/100000, giving 25000/100000 = 0.25. Option B repeats the subtracted number, option C is only the converted fraction before subtraction, and option D is unrelated to the required difference.
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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