Integer Additions With Bottle Tops (A)

Using the ideas outlined in the previous chapter, let us workout all possible addition problems as we have listed below.

1. +3 + +4

2. + 3 + -4

3. -3 + +4

4. -3 + -4

“P” represents a bottle top in the “open” position taken as “positive direction”. “N” represents a bottle top in the “closed” position taken as “negative direction”.

“+” will implement a “put together” strategy. “-“ will implement a “take away” strategy.

Subtraction

Let us now take all possible subtraction situations, as we have listed below. In subtraction situations, some times we have to add NP pairs each of which have a 0 value.

1. +3 - +4

2. + 3 - -4

3. -3 - +4

4. -3 - -4