How should you evaluate the expression to move on to the next level using standard order of precedence?

How should you evaluate the expression to move on to the next level using standard order of precedence?

• A. Solve by adding all terms first
• B. Multiply the parenthesis first (2x *3), then solve 10 * 5, lastly perform the addition
• C. Ignore the parentheses and apply left-to-right
• D. Multiply 10 * 5 first, then the parentheses

Answer: (B)

The main idea is applying the standard order of operations: evaluate anything inside parentheses first, then do multiplications/divisions from left to right, and finally additions/subtractions from left to right. For the expression with a group inside parentheses containing 2x times 3 and a separate multiplication 10 times 5, you start by simplifying inside the parentheses: 2x times 3 equals 6x. Next, handle the remaining multiplication: 10 times 5 equals 50. Finally, add the results: 6x plus 50. This sequence respects the grouping created by the parentheses and performs the multiplications before the final addition. Choosing to add first would ignore the parentheses and break the intended grouping. Ignoring the parentheses and applying left-to-right would treat the expression as if the grouping didn’t matter, which isn’t correct. While you could perform the two multiplications in any order before adding, the clearest and correct approach is to resolve the parentheses first, then the other multiplication, and finally the addition.

The main idea is applying the standard order of operations: evaluate anything inside parentheses first, then do multiplications/divisions from left to right, and finally additions/subtractions from left to right.

For the expression with a group inside parentheses containing 2x times 3 and a separate multiplication 10 times 5, you start by simplifying inside the parentheses: 2x times 3 equals 6x. Next, handle the remaining multiplication: 10 times 5 equals 50. Finally, add the results: 6x plus 50. This sequence respects the grouping created by the parentheses and performs the multiplications before the final addition.

Choosing to add first would ignore the parentheses and break the intended grouping. Ignoring the parentheses and applying left-to-right would treat the expression as if the grouping didn’t matter, which isn’t correct. While you could perform the two multiplications in any order before adding, the clearest and correct approach is to resolve the parentheses first, then the other multiplication, and finally the addition.