Simplify the following math expression: $3+7(6-3)+10 \div 2$
Answer (1)
Evaluate the expression inside the parentheses: ( 6 − 3 ) = 3 .
Multiply: 7 × 3 = 21 .
Divide: 10 ÷ 2 = 5 .
Add: 3 + 21 + 5 = 29 .
The simplified expression is 29 .
Explanation
Understanding the Expression We are asked to simplify the expression 3 + 7 ( 6 − 3 ) + 10 ÷ 2 . To do this, we will follow the order of operations (PEMDAS/BODMAS).
Evaluating Parentheses First, we evaluate the expression inside the parentheses: ( 6 − 3 ) = 3 . So the expression becomes 3 + 7 ( 3 ) + 10 ÷ 2 .
Performing Multiplication Next, we perform the multiplication: 7 ( 3 ) = 21 . The expression is now 3 + 21 + 10 ÷ 2 .
Performing Division Then, we perform the division: 10 ÷ 2 = 5 . The expression becomes 3 + 21 + 5 .
Performing Addition Finally, we perform the addition from left to right: 3 + 21 = 24 , and then 24 + 5 = 29 .
Final Result Therefore, the simplified expression is 29 .
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating the total cost of a project. For example, if you are buying 3 items that cost $5 each, and you have a coupon for $2 off the total, the expression would be 3 × 5 − 2 = 15 − 2 = 13 . This ensures you apply the discount correctly after calculating the total cost of the items.
