Lesson 16

Dividing Rational Numbers

Problem 1

Find the quotients:

  1. \(24 \div \text-6\)
  2. \(\text-15 \div 0.3\)
  3. \(\text-4 \div \text-20\)

Solution

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Problem 2

Find the quotients.

  1. \(\frac25 \div \frac34\)
  2. \(\frac94 \div \frac {\text{-}3}{4}\)
  3. \(\frac {\text{-}5}{7} \div \frac {\text{-}1}{3}\)
  4. \(\frac {\text{-}5}{3} \div \frac16\)

Solution

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Problem 3

Is the solution positive or negative?

  1. \(2\boldcdot x=6\)
  2. \(\text-2\boldcdot x=6.1\)
  3. \(2.9 \boldcdot x = \text-6.04\)
  4. \(\text-2.473\boldcdot x = \text-6.859\)

Solution

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Problem 4

Find the solution mentally.

  1. \(3 \boldcdot \text-4 = a\)
  2. \(b \boldcdot (\text-3) = \text-12\)
  3. \(\text- 12 \boldcdot c = 12\)
  4. \(d \boldcdot 24 = \text-12\)

Solution

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Problem 5

Find the products.

  1. \((100) \boldcdot (\text-0.09)\)
  2. \((\text-7) \boldcdot (\text- 1.1)\)
  3. \((\text-7.3) \boldcdot (5)\)
  4. \((\text-0.2)  \boldcdot (\text-0.3)\)

Solution

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(From Unit 7, Lesson 14.)

Problem 6

Which graphs could not represent a proportional relationship? Explain how you decided.

Four graphs. 

Solution

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(From Unit 5, Lesson 7.)