Compare Expressions: Finding the Sign Between 4+7-3+1-5 and 4+(7-3+1-5)

Not always! In this problem, both expressions equal 4. Parentheses only change the order of operations, but the final result can be the same.

The PEMDAS rule says parentheses come first! This ensures everyone gets the same answer. Without following this order, math would be confusing and inconsistent.

For addition and subtraction of the same priority, solve from left to right: $4+7-3+1-5$ becomes $11-3+1-5$, then $8+1-5$, then $9-5 = 4$.

Check your work! You might have made an arithmetic error or not followed PEMDAS correctly. In this problem, both expressions should equal 4.

Sometimes yes, sometimes no! In $4+(7-3+1-5)$, the parentheses don't change the order since we're only adding. But in expressions like $4-(7-3+1-5)$, removing parentheses would change the signs!