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 $0.6272$.
Decimal Multiplication 1Dd8Ef
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