Simplify the following expression: [tex]$4 \times -9$[/tex] [tex]$-9 n^2+i$[/tex] [tex]$\log ^2$[/tex] [tex]$4 m-3 n$[/tex]
Answer (1)
Multiply 4 by -9.
A positive number multiplied by a negative number results in a negative number.
Calculate the result: 4 × − 9 = − 36 .
The simplified expression is − 36 .
Explanation
Understanding the problem We are asked to simplify the expression 4 × − 9 . The expression − 9 n 2 + i lo g 2 4 m − 3 n is irrelevant to the question.
Performing the multiplication To simplify 4 × − 9 , we multiply the two numbers. A positive number multiplied by a negative number results in a negative number.
Calculating the result 4 × − 9 = − 36 .
Stating the final answer Therefore, the simplified expression is − 36 .
Examples
In everyday life, multiplication of positive and negative numbers can be used to calculate profit and loss. For example, if a store buys 4 items for $9 each and then has to sell them at a loss, we can represent the loss as a negative number. The total loss would be 4 × − 9 = − 36 , indicating a total loss of $36. This concept is fundamental in accounting and financial analysis.
