What is the result of dividing 1,237.5 by 110?

Master the Florida Roofing Trade Exam with flashcards and multiple choice questions. Analyze hints and explanations for confident preparation and success.

Multiple Choice

What is the result of dividing 1,237.5 by 110?

Explanation:
The main idea here is division with decimals, specifically simplifying a decimal dividend when dividing by a whole number. To divide 1,237.5 by 110, remove the decimal by multiplying numerator and denominator by 10, giving 12,375 ÷ 1,100. See how many times 1,100 fits into 12,375: it fits 11 times (11 × 1,100 = 12,100), leaving a remainder of 275. The remaining part is 275 ÷ 1,100 = 0.25, so the total quotient is 11.25. Quick check: 11.25 × 110 = 1,237.5, which matches the original dividend. The other nearby decimals would produce different products when multiplied back by 110, so they don’t fit.

The main idea here is division with decimals, specifically simplifying a decimal dividend when dividing by a whole number. To divide 1,237.5 by 110, remove the decimal by multiplying numerator and denominator by 10, giving 12,375 ÷ 1,100. See how many times 1,100 fits into 12,375: it fits 11 times (11 × 1,100 = 12,100), leaving a remainder of 275. The remaining part is 275 ÷ 1,100 = 0.25, so the total quotient is 11.25. Quick check: 11.25 × 110 = 1,237.5, which matches the original dividend. The other nearby decimals would produce different products when multiplied back by 110, so they don’t fit.

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