Integer Additions With Bottle Tops (A)

< 19.12 Integers in the Classroom - 2 | Topic Index | 20.1 Development of Numbers 1 >

Addition

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

&ldquo;P&rdquo; represents a bottle top in the &ldquo;open&rdquo; position taken as &ldquo;positive direction&rdquo;. &ldquo;N&rdquo; represents a bottle top in the &ldquo;closed&rdquo; position taken as &ldquo;negative direction&rdquo;.
 * 1) +3 + +4
 * 2) + 3 + -4
 * 3) -3 + +4
 * 4) -3 + -4

&ldquo;+&rdquo; will implement a &ldquo;put together&rdquo; strategy. &ldquo;-&ldquo; will implement a &ldquo;take away&rdquo; 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

< 19.12 Integers in the Classroom - 2 | Topic Index | 20.1 Development of Numbers 1 >