$2-(-8)+(-3)=$
A) 14
B) 7
C) 1
D) 12
Answer (2)
Rewrite the expression: 2 − ( − 8 ) + ( − 3 ) = 2 + 8 − 3 .
Perform the addition: 2 + 8 = 10 .
Perform the subtraction: 10 − 3 = 7 .
The final answer is 7 .
Explanation
Understanding the Problem We are asked to evaluate the expression 2 − ( − 8 ) + ( − 3 ) . This involves addition and subtraction of integers.
Simplifying the Expression First, we simplify the expression by removing the parentheses. Recall that subtracting a negative number is the same as adding its positive counterpart. Thus, 2 − ( − 8 ) = 2 + 8 . Also, adding a negative number is the same as subtracting its positive counterpart. Thus, + ( − 3 ) = − 3 . So the expression becomes 2 + 8 − 3 .
Performing Addition Next, we perform the addition: 2 + 8 = 10 . So the expression becomes 10 − 3 .
Performing Subtraction Finally, we perform the subtraction: 10 − 3 = 7 . Therefore, the value of the expression is 7.
Final Answer The expression 2 − ( − 8 ) + ( − 3 ) evaluates to 7.
Examples
In everyday life, you might use integer addition and subtraction to track your bank balance. If you start with $2 in your account, receive $8 (a deposit), and then spend $3 (a withdrawal), the expression 2 + 8 − 3 represents your final balance, which is $7.
The expression 2 − ( − 8 ) + ( − 3 ) simplifies to 7 through steps of addition and subtraction. First, we convert subtracting a negative to addition, then perform the calculations. Thus, the correct answer is 7 .
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