Final answer:
Using decomposition and the distributive property, the product of 9 times 8.53 is decomposed into parts, multiplied separately, and then summed up to find the solution, which is 76.77.
Step-by-step explanation:
To find the product of 9 times 8.53 using decomposition and the distributive property, you would break down 8.53 into 8 + 0.5 + 0.03 and then multiply each part by 9:
- 9 × 8 = 72
- 9 × 0.5 = 4.5
- 9 × 0.03 = 0.27
Next, you would combine these three products:
72 + 4.5 + 0.27 = 76.77
Therefore, the product of 9 times 8.53 is 76.77, which corresponds to option a.