Solve the following expression.
[tex]$36-|-49+(-32.9)|=$[/tex]
Answer (1)
Evaluate the expression inside the absolute value: − 49 + ( − 32.9 ) = − 81.9 .
Take the absolute value: ∣ − 81.9∣ = 81.9 .
Subtract the absolute value from 36: 36 − 81.9 = − 45.9 .
The final answer is − 45.9 .
Explanation
Evaluate inside absolute value First, we need to evaluate the expression inside the absolute value. We have − 49 + ( − 32.9 ) .
Calculate the sum Calculating the sum inside the absolute value, we get: − 49 + ( − 32.9 ) = − 81.9
Take the absolute value Next, we take the absolute value of the result: ∣ − 81.9∣ = 81.9
Subtract from 36 Finally, we subtract the absolute value from 36: 36 − 81.9 = − 45.9
Final Answer Therefore, the final answer is − 45.9 .
Examples
This type of calculation is useful in accounting when tracking income and expenses. For example, if you start with $36, incur a debt of $49, and then have an additional expense of $32.9, this calculation shows your final financial position.
