 # Lesson 2-2 Adding and Subtracting Rational Numbers.

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Lesson 2-2 Adding and Subtracting Rational Numbers

Use a number line to find each sum. 8 + (-5) -1 + (-4)

Definition Addition of Rational Numbers- –To add rational numbers with the same sign, add their absolute values. The sum has the same sign as the addends. –To add rational numbers with different signs, subtract the lesser absolute value from the greater absolute value. The sum has the same sign as the number with the greater absolute value.

Find each sum. 6 + (-14)

Definitions Opposites- Every positive rational number can be paired with a negative rational number, called its opposite. (5 and -5) Additive Inverse- A number and its opposite. Additive Inverse Property- The sum of a number and its additive inverse is zero. Subtraction of Rational Numbers- To subtract a rational number, add its additive inverse.

Find each difference. 12.7 – (-18.4) 18 - 23