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Chapter 1: Problem 25

For the following problems, use the order of operations to find each value. $$4 \cdot 3+8 \cdot 28-(3+17)+11(6)$$

Short Answer

Expert verified
Answer: The final value of the given expression is 282.

Step by step solution

01

Perform operations inside parentheses

We start by performing the operation inside the parentheses (3+17): $$4 \cdot 3+8 \cdot 28-(3+17)+11(6) = 4 \cdot 3+8 \cdot 28-(20)+11(6)$$
02

Perform multiplications

Now, we perform the multiplications 4 * 3, 8 * 28, and 11 * 6: $$4 \cdot 3+8 \cdot 28-(20)+11(6) = 12+224-(20)+66$$
03

Perform addition

Next, we perform the addition 12 + 224 + 66: $$12+224-(20)+66 = 302-(20)$$
04

Perform subtraction

Finally, we perform the subtraction 302 - 20 to find the value of the expression: $$302-(20) = 282$$. The final value of the given expression is 282.

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