Question
Which is the first arithmetic operation to be performed in evaluating the numeric expression 7 - 2 + 5 × 6 ÷ 3?
Answers
GPT-4o mini
To evaluate the numeric expression \( 7 - 2 + 5 \times 6 \div 3 \), we need to follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Identify the operations**: In the expression, we have:
- Subtraction: \( 7 - 2 \)
- Addition: \( + \)
- Multiplication: \( 5 \times 6 \)
- Division: \( \div 3 \)
2. **Perform multiplication and division first**: According to the order of operations, we handle multiplication and division before addition and subtraction.
3. **Perform the operations from left to right**:
- First, we have \( 5 \times 6 \), which equals \( 30 \).
- Next, we do the division: \( 30 \div 3 \), which equals \( 10 \).
Afterhandling multiplication and division, we are left with \( 7 - 2 + 10 \).
Thus, the first arithmetic operation performed in evaluating this expression is the multiplication, \( 5 \times 6 \).
1. **Identify the operations**: In the expression, we have:
- Subtraction: \( 7 - 2 \)
- Addition: \( + \)
- Multiplication: \( 5 \times 6 \)
- Division: \( \div 3 \)
2. **Perform multiplication and division first**: According to the order of operations, we handle multiplication and division before addition and subtraction.
3. **Perform the operations from left to right**:
- First, we have \( 5 \times 6 \), which equals \( 30 \).
- Next, we do the division: \( 30 \div 3 \), which equals \( 10 \).
Afterhandling multiplication and division, we are left with \( 7 - 2 + 10 \).
Thus, the first arithmetic operation performed in evaluating this expression is the multiplication, \( 5 \times 6 \).