Simplify −6.78 − 2.33.
The correct answer and explanation is:
To simplify −6.78−2.33-6.78 – 2.33, we begin by understanding the operation. This is a subtraction of two negative numbers. When subtracting negative numbers, you are essentially adding their absolute values and keeping the negative sign.
Here’s the step-by-step process:
- First, identify the absolute values of the numbers:
The absolute value of −6.78-6.78 is 6.78, and the absolute value of −2.33-2.33 is 2.33. - Add the absolute values of the two numbers:
6.78+2.33=9.116.78 + 2.33 = 9.11. - Since both numbers are negative, the result will also be negative:
−6.78−2.33=−9.11-6.78 – 2.33 = -9.11.
Thus, the simplified answer is −9.11-9.11.
Explanation:
When subtracting two negative numbers, the operation might seem a bit tricky at first. However, the basic rule is that subtracting a negative number is the same as adding the absolute values of the numbers. The negative sign from both terms ensures the final result remains negative.
This type of operation is common in real-life situations, such as managing finances or calculating temperature changes. It’s important to pay attention to the signs and to think of subtraction of negative numbers as an addition of their absolute values.
When faced with operations involving negative numbers, it’s crucial to avoid confusing them with addition or other operations. For example, adding a negative number, like in −6.78+(−2.33)-6.78 + (-2.33), would follow a similar process but result in a different final answer, as the numbers would simply combine to give a more negative result.