Subjects arithmetic

Decimal Multiplication 1Dd8Ef

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1. **State the problem:** Calculate the product of 11.20 and 0.056. 2. **Formula used:** Multiplication of decimals is done by multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. 3. **Multiply the numbers:** $$11.20 \times 0.056 = ?$$ 4. **Convert to whole numbers for multiplication:** $$1120 \times 56 = 62720$$ 5. **Count decimal places:** - 11.20 has 2 decimal places. - 0.056 has 3 decimal places. - Total decimal places = 2 + 3 = 5. 6. **Place decimal point:** $$62720 \rightarrow 0.62720$$ (move decimal 5 places from right to left) 7. **Simplify the result:** $$0.62720 = 0.6272$$ 8. **Compare with options:** None of the options match 0.6272, so re-check calculation. 9. **Recalculate directly:** $$11.20 \times 0.056 = (11.2) \times (0.056) = ?$$ 10. Multiply 11.2 by 0.056: $$11.2 \times 0.056 = 11.2 \times \frac{56}{1000} = \frac{11.2 \times 56}{1000}$$ 11. Calculate numerator: $$11.2 \times 56 = 627.2$$ 12. Divide by 1000: $$\frac{627.2}{1000} = 0.6272$$ 13. The answer is 0.6272, which does not match any options. 14. Check if the problem intended 11.20 x 0.56 instead: $$11.20 \times 0.56 = ?$$ 15. Multiply: $$11.20 \times 0.56 = 6.272$$ 16. Still no match. Check 1.12 x 0.56: $$1.12 \times 0.56 = 0.6272$$ 17. The closest option is 1.12, but none match the product. **Final answer:** None of the given options (a. 1.12, b. 1.24, c. 1.36, d. 1.40) is correct for $11.20 \times 0.056$ which equals $0.6272$.