Multiplying and Dividing Rational Numbers

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Multiplying and Dividing Rational Numbers COURSE 3 LESSON 4-5 Multiplying and Dividing Rational Numbers Solve y + 2 = – . 3 4 1 8 y + 2 = – 3 4 1 8 Subtract 2 from each side. y = –2 3 4 1 8 Multiply each side by the reciprocal of and change the mixed number to an improper fraction. 3 4 • y = • – 17 8 1 2 Multiply numerators and denominators on each side. 1y = – 1 • 17 3 • 2 4-5

Multiplying and Dividing Rational Numbers COURSE 3 LESSON 4-5 Multiplying and Dividing Rational Numbers (continued) Simplify. y = – 17 6 Write as a mixed number. y = –2 5 6 Check for Reasonableness Round the numbers in the equation to 1y + 2 = 0. The solution to this equation is –2. The answer is reasonable. 4-5

Multiplying and Dividing Rational Numbers COURSE 3 LESSON 4-5 1. • (– ) 2. 2 • (–1 ) 3. – ÷ (– ) 4. (–1 ) ÷ (1 ) 5 8 4 5 1 3 1 8 1 2 – 5 8 –2 1 6 3 4 7 8 1 2 2 9 1 4 –1 4-5

Multiplying and Dividing Rational Numbers COURSE 3 LESSON 4-5 Multiplying and Dividing Rational Numbers 1. • (– ) 2. 2 • (–1 ) 3. – ÷ (– ) 4. (–1 ) ÷ (1 ) 5 8 4 5 1 3 1 8 1 2 – 5 8 –2 1 6 3 4 7 8 1 2 2 9 1 4 –1 4-5