Question

1. consider 8 + 8 + 8 + 8 + 8 + 6.7 + 6.7 + 6.7 + 6.7.

a. write an equivalent expression to show the relationship between multiplication and addition.
b. evaluate the expression you wrote in part (a).

1. for parts (a) and (b), write a description of the numerical expression. then evaluate the expression. show your work.

a. \\(\frac{1}{5}(13 - 3)\\)
b. \\((57 \cdot 3) + (96 \cdot 4)\\)

Explanation:

Problem 32a

Step1: Simplify inside the parentheses

First, calculate the value inside the parentheses: \(13 - 3 = 10\)

Step2: Multiply by the fraction

Then multiply the result by \(\frac{1}{5}\): \(\frac{1}{5} \times 10 = 2\)

Step1: Calculate the first product

Calculate \(57 \times 3 = 171\)

Step2: Calculate the second product

Calculate \(96 \times 4 = 384\)

Step3: Add the two results

Add the two products together: \(171 + 384 = 555\)

We have 5 eights and 4 six - sevenths. Using the distributive property of multiplication over addition (or recognizing repeated addition as multiplication), we can write the expression as \(5\times8 + 4\times6.7\)

Answer:

\(2\)

Problem 32b