Question
Simplify the expression below using order of operations.
5, plus, 9, times, left parenthesis, minus, 6, right parenthesis, minus, left parenthesis, minus, 2, right parenthesis, squared
5+9×(−6)−(−2)
2
5, plus, 9, times, left parenthesis, minus, 6, right parenthesis, minus, left parenthesis, minus, 2, right parenthesis, squared
5+9×(−6)−(−2)
2
Answers
GPT-4o mini
To simplify the expression \( 5 + 9 \times (-6) - (-2)^2 \), we will follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Calculate inside the parentheses**:
- The expression already has parentheses, but we have no operations inside them that need to be resolved. However, we can note \((-2)^2\).
2. **Calculate the exponent**:
\[
(-2)^2 = 4
\]
3. **Rewrite the expression** after calculating the exponent:
\[
5 + 9 \times (-6) - 4
\]
4. **Perform the multiplication**:
\[
9 \times (-6) = -54
\]
5. **Now substitute that back into the expression**:
\[
5 - 54 - 4
\]
6. **Perform the addition/subtraction from left to right**:
- First, calculate \( 5 - 54 \):
\[
5 - 54 = -49
\]
- Next, calculate \(-49 - 4\):
\[
-49 - 4 = -53
\]
Thus, the simplified expression results in:
\[
\boxed{-53}
\]
1. **Calculate inside the parentheses**:
- The expression already has parentheses, but we have no operations inside them that need to be resolved. However, we can note \((-2)^2\).
2. **Calculate the exponent**:
\[
(-2)^2 = 4
\]
3. **Rewrite the expression** after calculating the exponent:
\[
5 + 9 \times (-6) - 4
\]
4. **Perform the multiplication**:
\[
9 \times (-6) = -54
\]
5. **Now substitute that back into the expression**:
\[
5 - 54 - 4
\]
6. **Perform the addition/subtraction from left to right**:
- First, calculate \( 5 - 54 \):
\[
5 - 54 = -49
\]
- Next, calculate \(-49 - 4\):
\[
-49 - 4 = -53
\]
Thus, the simplified expression results in:
\[
\boxed{-53}
\]