What is the value of (15.009 − 8.34575)?
Answer and explanation
Correct answer: 6.66325
Use decimal place value by writing both numbers with the same number of decimal places: 15.009 = 15.00900. Now subtract 8.34575 from 15.00900 in aligned columns. The calculation gives 15.00900 − 8.34575 = 6.66325. A reverse check confirms the result because 8.34575 + 6.66325 = 15.00900. Therefore option A is correct. Option B differs by 0.01000 and indicates a borrowing error; option C is the complementary-looking result from mishandling the subtraction; and option D reflects an error in one decimal place. Keeping the decimal points aligned prevents these mistakes.
Frequently asked questions
What is the correct answer to this question?
6.66325
Why is this the correct answer?
Use decimal place value by writing both numbers with the same number of decimal places: 15.009 = 15.00900. Now subtract 8.34575 from 15.00900 in aligned columns. The calculation gives 15.00900 − 8.34575 = 6.66325. A reverse check confirms the result because 8.34575 + 6.66325 = 15.00900. Therefore option A is correct. Option B differs by 0.01000 and indicates a borrowing error; option C is the complementary-looking result from mishandling the subtraction; and option D reflects an error in one decimal place. Keeping the decimal points aligned prevents these mistakes.
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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