Verified Answer :

  • First, simplify the expression inside the parentheses: \(7 - 9 = -2\).
  • Then, multiply the resulting value by the coefficient outside the parentheses: \(-7 \times (-2)\).
  • Calculate the final product: \(\boxed{14}\).

Explanation

  1. Evaluating the Parentheses

The expression provided is \(-7(7-9)\). According to the order of operations (commonly known as PEMDAS or BODMAS), we must first evaluate the operations contained within the parentheses before proceeding to multiplication. The parentheses contain the subtraction \(7 - 9\). Calculating this difference gives \(-2\).

  1. Completing the Multiplication

Now substitute the result of the parenthesis back into the original expression. We have \(-7 \times (-2)\). Multiplying two negative numbers yields a positive product. Therefore, \(-7 \times (-2) = 14\).

Examples

Imagine you are keeping track of a small business's daily budget. If you have 7 accounts, and in each account, the daily expenses (\(\$9\)) exceed the daily income (\(\$7\)), you can calculate the total daily net change by multiplying the number of accounts by the net difference per account: \(7 \times (7 - 9)\). Calculating this expression helps you understand that the overall net daily change is \(\$ -14\), meaning a total loss of \(\$14\). This illustrates how parentheses help organize grouping in real-world calculations.

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