Solve this problem: $-282-(+1,017) = $?
A. $-1,299$
B. -735
C. 735
D. 1,299
Answer (1)
Rewrite the expression: − 282 − ( + 1017 ) = − 282 − 1017 .
Simplify the expression: − 282 − 1017 = − 282 + ( − 1017 ) .
Add the absolute values: 282 + 1017 = 1299 .
Apply the negative sign: − 282 − ( + 1017 ) = − 1299 . The final answer is − 1299 .
Explanation
Understanding the Problem We are asked to evaluate the expression − 282 − ( + 1017 ) . This involves subtracting a positive number from a negative number.
Rewriting the Expression The expression can be rewritten as − 282 − 1017 . Subtracting a positive number is the same as adding a negative number, so we can rewrite this as − 282 + ( − 1017 ) .
Adding the Numbers To add two negative numbers, we add their absolute values and keep the negative sign. So, we need to calculate 282 + 1017 .
Finding the Result Calculating the sum: 282 + 1017 = 1299 . Therefore, − 282 + ( − 1017 ) = − 1299 .
Final Answer Thus, − 282 − ( + 1017 ) = − 1299 . The correct answer is A.
Examples
Imagine you are tracking your expenses. You spent $282 on groceries and then another 1017 o n re n t . T h ee x p ress i o n -282 - (+1017)$ helps you calculate your total expenses, which in this case is -$1299, indicating you are $1299 in debt. Understanding how to work with negative numbers is crucial for managing finances and understanding debt.
