Use a number line to add 5/4+(-2/4)
To add 5/4 and -2/4 using a number line, we can start by plotting a point at 0 on the number line for reference.
Then, we can move 5/4 units to the right from 0. This brings us to the point representing 5/4 on the number line.
Next, we need to add -2/4, which means moving 2/4 units to the left from the point we just reached. This brings us to the point representing 3/4 on the number line.
Therefore, 5/4 + (-2/4) = 3/4.
To add 5/4 + (-2/4) using a number line, follow these steps:
Step 1: Draw a number line with a horizontal line and mark a point as zero in the middle.
Step 2: Decide on a scale and mark equal divisions on both sides of zero, such as -1, -2, -3, 1, 2, 3.
Step 3: Start at zero and move 5/4 units in the positive direction. Since the denominator is 4, each unit on the number line represents 1/4. Therefore, you need to move 5/4 units in the positive direction (to the right) from zero.
Step 4: Draw an arrow starting from zero and move 5/4 units to the right. Label the endpoint as 5/4.
Step 5: To add -2/4, move in the negative direction from 5/4. Each unit in the negative direction is -1/4 since the denominator is 4.
Step 6: From 5/4, move 2/4 units to the left (negative direction). Draw an arrow in the negative direction starting from 5/4 and label the endpoint as 3/4.
Step 7: The final point on the number line after adding 5/4 + (-2/4) is at 3/4.