How do I add negative numbers?
Understand the Problem
The question is asking for guidance on the process of adding negative numbers. This involves understanding how negative values interact with other numbers in addition, specifically that adding a negative number is equivalent to subtraction.
Answer
$-8$
Answer for screen readers
The result of adding $-3$ and $-5$ is $-8$.
Steps to Solve
-
Identify the Numbers to Add
Start by identifying the negative numbers you want to add. For example, let's say we have $-3$ and $-5$. -
Understand Addition of Negatives
Adding a negative number is the same as subtracting its absolute value. So, adding $-3$ and $-5$ can be seen as subtracting from zero:
$$ 0 - 3 - 5 $$ -
Combine the Absolute Values
Add the absolute values (the positive versions) of the negative numbers:
$$ 3 + 5 = 8 $$ -
Apply the Negative Sign
Since both numbers were negative, the result will also be negative:
$$ -3 + (-5) = -8 $$ -
Write the Final Result
The final answer to the addition of the two negative numbers is:
$$ -8 $$
The result of adding $-3$ and $-5$ is $-8$.
More Information
When you add negative numbers, you are effectively moving further down the number line. In this case, starting from zero and moving left 3 units and then 5 units leads you to -8. This principle can be applied to any set of negative numbers.
Tips
- Forgetting to Combine Absolute Values: One common mistake is to incorrectly attempt to add the negative numbers directly, forgetting to combine their absolute values first.
- Ignoring the Sign: Sometimes students forget to apply the negative sign to the final answer.
