ADDITION OF INTEGERS ON NUMBER LINE -
The number line is a graphical representation where integers are placed at specific points, and you can visually see how addition works by moving along the number line.
Let's consider a few examples:-
1. Adding Positive Integers:- Suppose you want to add 4 + 3. Start at 0 and move 4 units to the right to reach 4. Then, move 3 more units to the right to reach the final point at 7.
0 1 2 3 4 5 6 7
↑---------------->↑
2. Adding Negative Integers:- Let's add -2 + (-5).
Start at 0 and move 2 units to the left (negative direction) to reach -2. Then, move 5 more units to the left to reach the final point at -7.
-7 -6 -5 -4 -3 -2 -1 0
↑<-----------------↑
3. Adding Positive and Negative Integers:- Consider 3 + (-2).
Start at 0 and move 3 units to the right to reach 3. Then, move 2 units to the left (negative direction) to reach the final point at 1.
-2 -1 0 1 2 3 4 5
↑----↑↑------↑
↑<----↑
4. Combining Different Cases:- Let's add -4 + 6.
Start at 0 and move 4 units to the left to reach -4. Then, move 6 units to the right to reach the final point at 2.
-4 -3 -2 -1 0 1 2 3
↑----------↑↑----↑
↑-------------->↑