Final answer:
Grouping symbols can change the value of a numeral expression, and inserting different grouping symbols can result in different outcomes for an expression.
Step-by-step explanation:
Grouping symbols can change the value of a numeral expression by indicating the order in which operations should be carried out. For example, (2 + 3) * 4 is different from 2 + (3 * 4). The first expression evaluates to 20, while the second expression evaluates to 14. Grouping symbols help to clarify the intended meaning of an expression.
To show four different values for the expression, we can insert grouping symbols in different ways:
- 2 + (3 * 4) = 14
- (2 + 3) * 4 = 20
- (2 + 3 * 4) = 14
- 2 + (3 * 4) = 14