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Questions and Answers
Which mathematical operation would you perform first in the expression $4 + 2(3 - 1)$?
Which mathematical operation would you perform first in the expression $4 + 2(3 - 1)$?
- Addition
- Subtraction
- Multiplication
- Parentheses (correct)
What is the result of evaluating the expression $7 - 3 + 2(4)$?
What is the result of evaluating the expression $7 - 3 + 2(4)$?
- 12 (correct)
- 14
- 16
- 10
In the expression $5(4 + 2) - 3^2$, what is the importance of solving the parentheses first?
In the expression $5(4 + 2) - 3^2$, what is the importance of solving the parentheses first?
- To simplify calculations and follow the order of operations (correct)
- To identify which operations to ignore
- To avoid decimal results
- To ensure all terms are positive
If you have the expression $2(3 + 5) - 4$, which of the following operations should you perform last?
If you have the expression $2(3 + 5) - 4$, which of the following operations should you perform last?
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Which step should be taken to correctly evaluate $10 + 2^3 - 4(1 + 2)$?
Which step should be taken to correctly evaluate $10 + 2^3 - 4(1 + 2)$?
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Study Notes
Order of Operations
- In the expression $4 + 2(3 - 1)$, the parentheses should be solved first.
- The expression $7 - 3 + 2(4)$ evaluates to 11.
- In $5(4 + 2) - 3^2$, solving the parentheses first ensures proper multiplication before subtraction and exponentiation.
- In the expression $2(3 + 5) - 4$, the subtraction should be performed last.
- To correctly evaluate $10 + 2^3 - 4(1 + 2)$, the parentheses should be solved before exponentiation, multiplication, and addition.
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