2.3 Addition of Rational Numbers

2.3 – Addition of Rational Numbers

Example 1 – Add using the number line. a. 2  1 b.  5  7 c.  4   5 Adding Two Positive or Two Negative Numbers Add the absolute values. The sum has the same sign as the addends.

Example 2 – Add without using the number line. a.  6   5 b.  2.3  1.4

2  3  c.     7  7 

Adding a Positive and a Negative Number Subtract the absolute values. The sum has the same sign of the addend with the greater absolute value.

Example 3 – Add without using the number line. a. 7.3   9.7 b.  4.6  9.9 c. 12  15

4 1 d.   9 3

Definition Two rational numbers whose sum is 0 are called additive inverses of each other. Property of Additive Inverses For each rational number a, there is only one rational number  a such that a   a  0 .

L13 – pg 68 (1-7 odd, 11, 13, 15, 18, 19 & 27)