Question

Decompose and use the distributive property to find the product of 10 x 8.53.

83.05 85.3 85.03 83.5

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Answer 1

By decomposing 8.53 and using the distributive property, we multiply each component by 10 and sum the products to find that 10 x 8.53 equals 85.3.

Step-by-step explanation:

To find the product of 10 x 8.53, we can use the distributive property. This involves breaking down (decomposing) the number 8.53 into its place values multiplying each by 10, and then summing the results. Let's decompose 8.53 as follows:

• 8 (which is 8 x 1)
• 0.5 (which is 5 x 0.1)
• 0.03 (which is 3 x 0.01)

Now, we multiply each component by 10:

• 10 x 8 = 80
• 10 x 0.5 = 5
• 10 x 0.03 = 0.3

Finally, we sum the products to get the total:

80 + 5 + 0.3 = 85.3

Thus, the product of 10 x 8.53 is 85.3.