Use the order of operations to evaluate: 8 + 7 x 3 - 6 =
Understand the Problem
The question is asking to evaluate the expression 8 + 7 x 3 - 6 using the order of operations (PEMDAS/BODMAS). This means we need to perform multiplication before addition and subtraction.
Answer
The expression evaluates to $23$.
Answer for screen readers
The final answer is $23$.
Steps to Solve
- Identify operations and their order
According to the order of operations (PEMDAS/BODMAS), we first perform multiplication, then addition and subtraction.
- Perform the multiplication
Calculate the multiplication part of the expression first: $$ 7 \times 3 = 21 $$
Now rewrite the expression with this value: $$ 8 + 21 - 6 $$
- Perform the addition
Next, calculate the addition: $$ 8 + 21 = 29 $$
Now rewrite the expression: $$ 29 - 6 $$
- Perform the subtraction
Lastly, perform the subtraction: $$ 29 - 6 = 23 $$
The final answer is $23$.
More Information
The order of operations is crucial in math to ensure calculations are performed correctly. Remember to handle multiplication before addition and subtraction to avoid errors.
Tips
- Forgetting the order of operations: A common mistake is doing addition or subtraction before multiplication. Always make sure to follow PEMDAS/BODMAS rules.
- Combining operations incorrectly: Some may try to perform addition and subtraction simultaneously without first handling the multiplication.
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