How do parentheses affect mathematical expressions?

How do parentheses affect mathematical expressions?

Parentheses indicate which operations to perform first in a mathematical expression. For example, in (2 + 3) × 4, you add 2 and 3 first.

Can you give me an example with more complex expressions?

Sure! In the expression 5 + (2 × (3 + 4)), you first calculate the value inside the innermost parentheses, which is 3 + 4 = 7. Then, you multiply 2 by 7, and finally add 5.

What happens if I don't use parentheses?

Without parentheses, operations follow the order of operations (PEMDAS/BODMAS). For example, 5 + 2 × 3 equals 5 + 6 = 11, not 21.

Are there any common mistakes people make with parentheses?

Yes, a common mistake is forgetting to apply the order of operations correctly, leading to incorrect results. Always use parentheses to clarify!