What is the purpose of parentheses in algebraic expressions?

• A. To signify multiplication
• B. To indicate addition
• C. To show terms that should be combined first
• D. To separate variables

Answer: (C)

The purpose of parentheses in algebraic expressions is to show which terms should be combined or calculated first. This priority affects the outcome of calculations significantly, as operations inside parentheses are performed before those outside. For example, in the expression (2 + (3 + 5)), you calculate (3 + 5) first due to the parentheses, giving (2 + 8) and resulting in (10). Without parentheses, the expression would be evaluated left to right without consideration for the grouping of terms, which could yield a different result. Thus, understanding the role of parentheses is critical for correctly interpreting and simplifying expressions in algebra.