Question
Consider the expiration [15+(-5)]+6
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2
What is the result of simplification that would need to take place according to the order of operations
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2
What is the result of simplification that would need to take place according to the order of operations
Answers
GPT-4o mini
To simplify the expression \([15 + (-5)] + 6 \div 2\) according to the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), let's break it down step by step.
1. **Parentheses**: First, simplify the expression inside the brackets:
\[
15 + (-5) = 15 - 5 = 10
\]
Now the expression simplifies to:
\[
[10] + 6 \div 2
\]
2. **Division**: Next, perform the division:
\[
6 \div 2 = 3
\]
Now the expression becomes:
\[
10 + 3
\]
3. **Addition**: Finally, perform the addition:
\[
10 + 3 = 13
\]
Therefore, the simplified result of the expression \([15 + (-5)] + 6 \div 2\) is **13**.
1. **Parentheses**: First, simplify the expression inside the brackets:
\[
15 + (-5) = 15 - 5 = 10
\]
Now the expression simplifies to:
\[
[10] + 6 \div 2
\]
2. **Division**: Next, perform the division:
\[
6 \div 2 = 3
\]
Now the expression becomes:
\[
10 + 3
\]
3. **Addition**: Finally, perform the addition:
\[
10 + 3 = 13
\]
Therefore, the simplified result of the expression \([15 + (-5)] + 6 \div 2\) is **13**.