Question

Decompose and use the distributive property to find the product of 9 times 8.53.

a) 76.77
b) 75.77
c) 77.77
d) 74.77

Answer 1

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.