What is equal to the value of $9-(-5)$?
Answer (2)
Recognize that subtracting a negative number is equivalent to adding the positive of that number.
Rewrite the expression 9 − ( − 5 ) as 9 + 5 .
Perform the addition: 9 + 5 = 14 .
The final answer is 14 .
Explanation
Understanding the problem We are asked to evaluate the expression 9 − ( − 5 ) . This involves subtracting a negative number, which is the same as adding the positive of that number.
Rewriting the expression To evaluate 9 − ( − 5 ) , we can rewrite the expression as 9 + 5 .
Performing the addition Now, we simply add the two numbers: 9 + 5 = 14 .
Final result Therefore, the value of the expression 9 − ( − 5 ) is 14 .
Examples
In everyday life, understanding subtraction of negative numbers can be useful in scenarios such as calculating temperature changes. For example, if the temperature was 9 degrees Celsius and then dropped by 5 degrees below zero, the new temperature would be calculated as 9 − ( − 5 ) = 14 degrees Celsius. This shows how subtracting a negative number helps in determining the total change or difference.
The value of 9 − ( − 5 ) is 14 , because subtracting a negative number is the same as adding its positive value. Rewriting the expression as 9 + 5 leads to the result of 14 .
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