To find 5 + ( − 8 ) using a number line, start at 5 and move 8 units to the left. This results in -3. Therefore, (5 + (-8) = -3.
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To add 5 + ( − 8 ) using a number line, follow these steps:
Start at 5 : Since you are adding − 8 to 5 , begin by finding 5 on the number line.
Move 8 units to the left : Because you are adding a negative number ( − 8 ), you need to move to the left from 5 on the number line. Each step to the left represents a reduction by one unit.
Ending Position : After moving 8 steps to the left, you will land on − 3 .
Therefore, 5 + ( − 8 ) = − 3 .
The number line visually represents addition by showing how starting at one number and moving in the direction specified by the addition (right for positive, left for negative) results in a final position that represents the sum.