Lesson 15

Multiplying Rational Numbers

Problem 1

Evaluate each expression:

  1. \text-1 \boldcdot 2 \boldcdot 3
  2. \text-1 \boldcdot (\text-2) \boldcdot 3
  3. \text-1 \boldcdot (\text-2) \boldcdot (\text-3)

Solution

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Problem 2

Find the value of each expression.

  1. \frac14 \boldcdot (\text-12)
  2. \text{-}\frac {1}{3} \boldcdot 39
  3. (\text{-}\frac {4}{5}) \boldcdot (\text-75)
  4. \text{-}\frac {2}{5} \boldcdot (\text{-}\frac {3}{4})
  5. \frac83 \boldcdot \text-42

Solution

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Problem 3

Fill in the missing numbers in these equations

  1. (\text-7)\boldcdot {?} = \text-14
  2. {?}\boldcdot 3 = \text-15
  3. {?}\boldcdot 4 = 32
  4. \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.

  1. 4, 8, -2, -6, 0
  2. -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?

  1. Annie’s Attic is giving away $5 off coupons.

    original price sale price
    $15 $10
    $25 $20
    $35 $30
  2. 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.)