-72.6 + (-56.8)
Understand the Problem
The question is asking us to perform the arithmetic operation of addition involving two negative numbers. The steps will include simplifying the expression by combining the numbers.
Answer
The result of the operation is $-129.4$.
Answer for screen readers
The final answer is $-129.4$.
Steps to Solve
- Identify the addition of negative numbers
We are adding two negative numbers: $-72.6$ and $-56.8$.
- Combine the absolute values
First, we need to find the sum of their absolute values: $$ |-72.6| + |-56.8| = 72.6 + 56.8 $$
- Calculate the absolute values' sum
Now, let's compute: $$ 72.6 + 56.8 = 129.4 $$
- Apply the negative sign to the result
Since we are adding two negative numbers, the result will also be negative: $$ -129.4 $$
The final answer is $-129.4$.
More Information
When adding two negative numbers, the result is always negative. The operation effectively combines their absolute values, leading to a more negative outcome.
Tips
- Mistakes in Sign: Many might forget to apply the negative sign to the final sum of absolute values. Always remember that the sum of negative numbers is negative.