Question

Using the distributive property, show how to decompose 8 * 78 . You're missing the decomposing part. (Decompose 78). Your answer should be in the format a(b+c).

A. 2(312).
B. 2(300)
C. 2(212).

Answer 1

To decompose 78 using the distributive property, we can express it as a sum of two numbers and then use the distributive property to decompose 8 * 78. The decomposed form of 8 * 78 is 624.

Step-by-step explanation:

To decompose 78 using the distributive property, we can express it as a sum of two numbers. Let's use the number 70 and 8 as the two numbers. This means we can rewrite 78 as 70 + 8. Now, we can use the distributive property to decompose 8 * 78 as 8 * (70 + 8).

Using the distributive property, we distribute the 8 to both terms inside the parentheses: 8 * (70 + 8) = 8 * 70 + 8 * 8. Multiplying, we get 560 + 64. Combining the terms, the decomposed form of 8 * 78 is 624. Therefore, the answer is not given in the provided options.