JAMB 2015 Mathematics · Question 4
Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)
Options
- A.7.51
- B.7.71
- C.5.5
- D.7.55
Answer: D. 7.55
Explanation written with AI and checked against the answer key
Analyze the question: We need to multiply 2.04 by 3.7 and round the result to 2 decimal places.
Concept: To multiply decimals, ignore the decimal points, multiply as whole numbers, then put the decimal point back using the total number of decimal places in both numbers.
Solution:
- Ignore the decimals: 204 × 37 • 204 × 30 = 6120 • 204 × 7 = 1428 • 6120 + 1428 = 7548
- Count decimal places: 2.04 has 2 and 3.7 has 1, so 3 in total.
- Place the decimal point 3 places from the right: 7.548
- Round to 2 decimal places: the third decimal digit is 8 (5 or more), so round up: 7.548 ≈ 7.55
Check: 2 × 3.7 = 7.4 and 0.04 × 3.7 = 0.148, so 7.4 + 0.148 = 7.548. ✔
Answer: The correct option is **D (7.
Tip: In "correct to 2 decimal places" questions, look only at the digit right after the required place. If it's 5 or more, round up. Also, estimating first (2 × 3.7 ≈ 7.4) quickly eliminates option C (5.5).
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