Apply decimal subtraction using place value: Evaluate (3.57 − 2.14).
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A1.43
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B1.4301
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C1.42
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D1.44
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E1.403
Answer
Correct Answer: 1.43
Explanation
Introduction / Context:The question assesses straightforward decimal subtraction, reinforcing place-value alignment and borrow logic for tenths and hundredths.
Given Data / Assumptions:
- Compute 3.57 − 2.14.
- Decimals are in hundredths; align digits before subtracting.
Concept / Approach:Write the numbers one under the other with decimal points aligned. Subtract hundredths, then tenths, then the units digit, borrowing from the next left place if necessary.
Step-by-Step Solution:
Hundredths: 7 − 4 = 3Tenths: 5 − 1 = 4Ones: 3 − 2 = 1Therefore, 3.57 − 2.14 = 1.43Verification / Alternative check:Think in parts: (3 + 0.57) − (2 + 0.14) = (3 − 2) + (0.57 − 0.14) = 1 + 0.43 = 1.43.
Why Other Options Are Wrong:1.4301 and 1.403 introduce spurious digits. 1.42 and 1.44 are off by a hundredth due to a carry/borrow mistake.
Common Pitfalls:Failing to align decimals, subtracting 14 from 57 incorrectly, or adding instead of subtracting the hundredths place.
Final Answer:1.43