Final answer:
To find the sum of -2.25 and 2.5, we subtract the smaller number from the larger number, resulting in a sum of 0.25. On the number line, we plot -2.25, then move 2.5 units right to find the sum at +0.25, which lies between -2.25 and 2.5.
Step-by-step explanation:
To add -2.25 and 2.5, we need to follow the rules of addition for numbers with different signs. We subtract the smaller number from the larger number, and the answer has the sign of the larger number. So, subtract 2.25 from 2.5 which equals 0.25, and since 2.5 is the larger positive number, the answer is positive. The sum is 0.25.
On the number line, first plot -2.25. To find the sum, move 2.5 units to the right since we are adding a positive number. The point representing the sum will be at +0.25, which is:
- Between -2.25 and 2.5
- To the right of -2.25
- To the left of 2.5
Between -2.25 and 2.5, which indicates the location of the sum on the number line.