# Lesson 11

Dividing Rational Numbers

Let's divide signed numbers.

### Problem 1

Find the quotients:

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

### 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. $$\frac {\text{-}5}{3} \div \frac16$$

### 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. $$\text-2.473\boldcdot x = \text-6.859$$

### 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. $$d \boldcdot 24 = \text-12$$

### 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?

(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.
(From Unit 5, Lesson 3.)