Subtract:
$(-65)-(-29)$
A) -94
B) 94
C) -36
D) 36
Answer (2)
The solution to ( − 65 ) − ( − 29 ) is − 36 , which we find by rewriting the expression as ( − 65 ) + 29 . After calculating, we see that the final answer is option C: − 36 .
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We are asked to subtract − 29 from − 65 , which is the expression ( − 65 ) − ( − 29 ) .
Subtracting a negative number is equivalent to adding its positive counterpart, so the expression becomes ( − 65 ) + 29 .
Adding − 65 and 29 results in − 36 .
Therefore, the final answer is − 36 .
Explanation
Understanding the Problem We are asked to subtract − 29 from − 65 . This means we need to evaluate the expression ( − 65 ) − ( − 29 ) .
Rewriting the Expression Subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as ( − 65 ) + 29 .
Calculating the Sum Now, we need to add − 65 and 29 . Since the numbers have different signs, we subtract their absolute values and take the sign of the number with the larger absolute value. The absolute value of − 65 is 65 , and the absolute value of 29 is 29 . So, we subtract 29 from 65 : 65 − 29 = 36 . Since − 65 has a larger absolute value than 29 , the result will be negative. Therefore, ( − 65 ) + 29 = − 36 .
Choosing the Correct Answer The result of the subtraction is − 36 . Comparing this with the given options, we see that option C is − 36 .
Examples
Understanding subtraction of negative numbers is crucial in various real-life scenarios. For instance, consider a situation where you have a debt of $65 (represented as -65) and you make a payment of $29. The remaining debt can be calculated as -65 - (-29), which simplifies to -65 + 29 = -$36. This means you still owe $36. This concept is also applicable in temperature calculations, altitude changes, and financial transactions.
