negative 7 minus negative 5
Understand the Problem
The question is asking for the result of the subtraction operation involving two negative numbers, specifically negative 7 minus negative 5. We will solve this by applying the rules of subtraction for integers.
Answer
The answer is $-2$.
Answer for screen readers
The result of negative 7 minus negative 5 is $-2$.
Steps to Solve
- Rewrite the subtraction of negative numbers as addition
When subtracting a negative number, this is the same as adding its positive counterpart. Therefore, subtracting negative 5 from negative 7 can be rewritten as: $$ -7 - (-5) = -7 + 5 $$
- Perform the addition
Now, we add the two numbers: $$ -7 + 5 $$
- Combine the values
To combine $-7$ and $5$, notice that you're essentially moving 5 units to the right from -7 on the number line. This can be calculated as: $$ -7 + 5 = -2 $$
The result of negative 7 minus negative 5 is $-2$.
More Information
When you subtract a negative number, it is equivalent to adding that number's positive version. This often confuses students, but it follows the rules of integers.
Tips
- Confusing subtraction of negatives with addition of negatives; remember to convert the subtraction of a negative to addition.
- Not keeping track of signs; always double-check whether the numbers are positive or negative when performing calculations.
