1. Inverses

2. Additive Inverse Inverses are related to the properties of real numbers. The additive inverse is the same number with the opposite sign – it is sometimes just called the opposite. The additive inverse of + 5 is - 5 The opposite of - 3 is + 3.

3. Additive Inverse When you add a number and its opposite, your answer will always be zero. + 5 – 5 = 0 Zero is the identity element for addition

4. The Identity Element for Addition Zero is called the identity element for addition because if you add zero to any number, you get identically the same number back again. 2 + 0 = 2

5. Additive Inverse When you add a number and its additive inverse, your answer will always be the identity element for addition.

6. Multiplicative Inverse Inverses are related to the properties of real numbers. The multiplicative inverse is the “flipped” version of the number - it is sometimes called the reciprocal. The multiplicative inverse of 5 is The reciprocal of is

7. Multiplicative Inverse When you multiply a number and its reciprocal, your answer will always be one. One is the identity element for multiplication

8. The Identity Element for Multiplication One is called the identity element for multiplication because if you multiply any number by 1, you get identically the same number back again. 2 x 1 = 2

9. Multiplicative Inverse When you multiply a number and its multiplicative inverse, your answer will always be the identity element for multiplication.

10. The Additive and Multiplicative Inverses The additive inverse is the “opposite” The multiplicative inverse is the “reciprocal”. When you add or multiply a number by its inverse, you get the identity element for that operation.