1. 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
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2. 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.
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3. Multiplying and Dividing Rational Numbers
COURSE 3 LESSON 4-5
• (– ) • (–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
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4. Multiplying and Dividing Rational Numbers
COURSE 3 LESSON 4-5
Multiplying and Dividing Rational Numbers
• (– ) • (–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