Problem 25 - Elementary Algebra

Question

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

Step-by-Step Solution

Answer

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

Step 1: Perform operations inside parentheses

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

Step 2: Perform multiplications

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

Step 3: Perform addition

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

Step 4: 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.