Lesson 15
Multiplying Rational Numbers
Problem 1
Evaluate each expression:
- \(\text-1 \boldcdot 2 \boldcdot 3\)
- \(\text-1 \boldcdot (\text-2) \boldcdot 3\)
- \(\text-1 \boldcdot (\text-2) \boldcdot (\text-3)\)
Solution
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Problem 2
Find the value of each expression.
- \(\frac14 \boldcdot (\text-12)\)
- \(\text{-}\frac {1}{3} \boldcdot 39\)
- \((\text{-}\frac {4}{5}) \boldcdot (\text-75)\)
- \(\text{-}\frac {2}{5} \boldcdot (\text{-}\frac {3}{4})\)
- \(\frac83 \boldcdot \text-42\)
Solution
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Problem 3
Fill in the missing numbers in these equations
- \((\text-7)\boldcdot {?} = \text-14\)
- \({?}\boldcdot 3 = \text-15\)
- \({?}\boldcdot 4 = 32\)
- \(\text-49 \boldcdot 3 ={?}\)
Solution
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Problem 4
These three points form a horizontal line: \((\text-3.5, 4)\), \((0, 4)\), and \((6.2, 4)\). Name two additional points that fall on this line.
Solution
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(From Unit 7, Lesson 11.)Problem 5
Order each set of numbers from least to greatest.
- 4, 8, -2, -6, 0
- -5, -5.2, 5.5, \(\text-5\frac12\), \(\frac {\text{-}5}{2}\)
Solution
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(From Unit 7, Lesson 1.)Problem 6
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
-
Annie’s Attic is giving away $5 off coupons.
original price sale price $15 $10 $25 $20 $35 $30 -
Bettie's Boutique is having a 20% off sale.
original price sale price $15 $12 $25 $20 $35 $28
Solution
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(From Unit 5, Lesson 4.)