In this series of games, your students will learn to Understand the subtraction of rational numbers as adding the additive inverse. The Subtraction As Addition Of Additive Inverse learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 7.NS.A.1.c as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

Integers on a number line are distances from 0. The distance can be shown using absolute value, |p|, for all positive and negative integers. If p is positive, then its absolute value |p| is just p; if p is negative then |p| = – p. P – q is the distance from p to q regardless of direction so adding the distances of p and q can be seen as p + (-q). Therefore p – q = p + (-q).

Model on a number line adding the distances p – q as adding the two graphs of p and (-q) by attaching the length of the graph of q to the endpoint of the graph of p and the overlaying portion understood as additive inverses and the portion left over as p – q or p + (-q). Show additive inverses as graphed distances on the number line and when the distances are added together they overlap and have a sum of 0.

A preview of each game in the learning objective is found below.

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