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Understanding Rational Number Multiplication & Division

Learn how to solve rational number equations involving multiplication and division. Practice converting improper fractions to mixed numbers and ensure reasonableness of solutions.

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Understanding Rational Number Multiplication & Division

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

  2. y = – Simplify. y = –2 Write as a mixed number. 5 6 17 6 COURSE 3 LESSON 4-5 Multiplying and Dividing Rational Numbers (continued) 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

  3. 1 2 1 4 5 8 – –1 –2 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 6 3 4 7 8 1 2 2 9 4-5

  4. 1 2 1 4 5 8 – –1 –2 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 6 3 4 7 8 1 2 2 9 4-5

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