Which of the following is the correct simplification of the expression below?

Ask by Mejia Bob. in the United States

Dec 30,2024

Question

Which of the following is the correct simplification of the expression below? $$ 20-18+2 	imes 3+(6-7)^{2} $$

UpStudy AI · Accepted Answer

To simplify the expression $$ 20 - 18 + 2 \times 3 + (6 - 7)^{2} $$, we'll follow the order of operations, often remembered by the acronym PEMDAS:

1. **P**arentheses
2. **E**xponents
3. **M**ultiplication and **D**ivision (from left to right)
4. **A**ddition and **S**ubtraction (from left to right)

Let's break it down step-by-step:

1. **Parentheses**:
   $$
   (6 - 7) = -1
   $$
   So, the expression becomes:
   $$
   20 - 18 + 2 \times 3 + (-1)^{2}
   $$

2. **Exponents**:
   $$
   (-1)^{2} = 1
   $$
   Now, the expression is:
   $$
   20 - 18 + 2 \times 3 + 1
   $$

3. **Multiplication**:
   $$
   2 \times 3 = 6
   $$
   Updating the expression:
   $$
   20 - 18 + 6 + 1
   $$

4. **Addition and Subtraction** (from left to right):
   - First, subtract:
     $$
     20 - 18 = 2
     $$
   - Then, add:
     $$
     2 + 6 = 8
     $$
   - Finally, add:
     $$
     8 + 1 = 9
     $$

**Final Simplified Result:** $$ 9 $$
The simplified result of the expression $$ 20 - 18 + 2 \times 3 + (6 - 7)^{2} $$ is $$ 9 $$.

Which of the following is the correct simplification of the expression below?

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