Use a number line to add 5/4+(−2/4).

1 answer

To add 5/4 and -2/4 on a number line, you can start by locating 0 on the number line. From there, you move 5/4 units to the right, which brings you to a point representing 5/4. Then, you move -2/4 units to the left from the point you just reached.

Since 1 unit on the number line represents 1/4, moving -2/4 units to the left is equivalent to moving -2/4 of a unit, or -1/2 unit.

Thus, the point you end up on represents the sum of 5/4 and -2/4, which is 3/4.

So, 5/4 + (-2/4) = 3/4.