Find the value of $-12+8-(-9)$
Answer (1)
First, rewrite the expression by changing subtraction of a negative to addition: − 12 + 8 − ( − 9 ) = − 12 + 8 + 9 .
Next, perform the addition from left to right: − 12 + 8 = − 4 .
Then, add the remaining number: − 4 + 9 = 5 .
The final result is 5 .
Explanation
Understanding the problem We are asked to find the value of the expression − 12 + 8 − ( − 9 ) . This involves adding and subtracting integers.
Simplifying the expression First, we simplify the expression by dealing with the subtraction of a negative number. Subtracting a negative number is the same as adding its positive counterpart. So, − 12 + 8 − ( − 9 ) becomes − 12 + 8 + 9 .
Performing the first addition Now, we perform the addition from left to right. First, we calculate − 12 + 8 . Since 8 is smaller in magnitude than − 12 , the result will be negative. − 12 + 8 = − 4 .
Performing the second addition Next, we add 9 to the result from the previous step: − 4 + 9 . Since 9 is greater in magnitude than − 4 , the result will be positive. − 4 + 9 = 5 .
Final result Therefore, the value of the expression − 12 + 8 − ( − 9 ) is 5 .
Examples
Understanding how to add and subtract integers is crucial in managing finances. For example, if you have $8 in your account, then you spend $12 (represented as -12), and then receive $9 (represented as +9), the expression -12+8-(-9) helps you calculate your final balance, which is $5.
