Use a number line to add 5/4 + (-2/4)
To add 5/4 and -2/4 on a number line, follow these steps:
1. Start at zero on the number line.
2. Move 5/4 units to the right since 5/4 is positive.
3. From the endpoint of step 2, move -2/4 units to the left since -2/4 is negative.
4. The final position on the number line is the sum of 5/4 and -2/4.
Here's a visual representation:
```
-3/4 -2/4 -1/4 0 1/4 2/4 3/4 4/4
|-------|-------|-------|----O+----|-------|-------|
<---------5/4-------->
<--------------2/4-------------->
<-----------(5/4 + (-2/4))----------->
```
The final position is at 3/4 on the number line. Therefore, 5/4 + (-2/4) equals 3/4.
To add 5/4 and -2/4 using a number line, follow these steps:
Step 1: Draw a number line with positive and negative numbers.
Step 2: Start at the origin, which represents zero.
Step 3: Move 5/4 units in the positive direction from the origin. This brings you to the point labeled 5/4.
Step 4: Move -2/4 units in the negative direction from the point labeled 5/4.
Step 5: The point where you end up is the answer to the addition problem. In this case, you will end up at the point labeled 3/4.
So, 5/4 + (-2/4) = 3/4.