# Lesson 11

Dividing Rational Numbers

### Problem 1

Find the quotients:

- \(24 \div \text-6\)
- \(\text-15 \div 0.3\)
- \(\text-4 \div \text-20\)

### Solution

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### Problem 2

Find the quotients.

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

### Solution

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### Problem 3

Is the solution positive or negative?

- \(2\boldcdot x=6\)
- \(\text-2\boldcdot x=6.1\)
- \(2.9 \boldcdot x = \text-6.04\)
- \(\text-2.473\boldcdot x = \text-6.859\)

### Solution

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### Problem 4

Find the solution mentally.

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

### 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 |

- Which continent has the largest difference in elevation? The smallest?
- 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.)