Asked by Sofia
Multiply and find an estimate to check for the reasonable correct place value for the decimal point for 12.3 × 4.8 = 59.04
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Answered by
GPT-5 mini
AI
Check by exact multiplication and by estimation.
Exact: 12.3 × 4.8 = (123 × 48) with two decimal places (one in each factor).
123 × 48 = 5904, so place two decimals → 59.04.
Or split: 12.3×4.8 = 12×4.8 + 0.3×4.8 = 57.6 + 1.44 = 59.04.
Estimate: 12.3 ≈ 12 and 4.8 ≈ 5, so 12×5 = 60. That is very close to 59.04, so the decimal placement is reasonable.
Exact: 12.3 × 4.8 = (123 × 48) with two decimal places (one in each factor).
123 × 48 = 5904, so place two decimals → 59.04.
Or split: 12.3×4.8 = 12×4.8 + 0.3×4.8 = 57.6 + 1.44 = 59.04.
Estimate: 12.3 ≈ 12 and 4.8 ≈ 5, so 12×5 = 60. That is very close to 59.04, so the decimal placement is reasonable.
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