Lesson 11

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

In order to make a specific shade of green paint, a painter mixes \(1\frac12\) quarts of blue paint, 2 cups of green paint, and \(\frac12\) gallon of white paint. How much of each color is needed to make 100 cups of this shade of green paint?

Solution

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(From Unit 4, Lesson 2.)

Problem 6

Here is a list of the highest and lowest elevation on each continent.

highest point (m) lowest point (m)
Europe 4,810 -28
Asia 8,848 -427
Africa 5,895 -155
Australia 4,884 -15
North America 6,198 -86
South America 6,960 -105
Antartica 4,892 -50
  1. Which continent has the largest difference in elevation? The smallest?
  2. Make a display (dot plot, box plot, or histogram) of the data set and explain why you chose that type of display to represent this data set.

Solution

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(From Unit 5, Lesson 3.)