# Lesson 7

Comparing Numbers and Distance from Zero

Let’s use absolute value and negative numbers to think about elevation.

### Problem 1

In the context of elevation, what would $$|\text-7|$$ feet mean?

### Problem 2

Match the the statements written in English with the mathematical statements.

### Problem 3

Compare each pair of expressions using >, <, or =.

• $$\text-32$$ _____ $$15$$

• $$|\text-32|$$ _____ $$|15|$$

• $$5$$ _____ $$\text-5$$

• $$|5|$$ _____ $$|\text-5|$$

• $$2$$ _____ $$\text-17$$

• $$2$$ _____ $$|\text-17|$$

• $$|\text-27|$$ _____ $$|\text-45|$$

• $$|\text-27|$$ _____ $$\text-45$$

### Problem 4

Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.

1. Her grandmother gave her $25 in a birthday card. 2. She earned$14 dollars babysitting.
3. She spent $10 on a ticket to the concert. 4. She donated$3 to a local charity
5. She got \$2 interest on money that was in her savings account.
(From Unit 7, Lesson 5.)

### Problem 5

Here are the lowest temperatures recorded in the last 2 centuries for some US cities.

• Death Valley, CA was $$\text-45^\circ\text{F}$$ in January of 1937.
• Danbury, CT was $$\text-37^\circ\text{F}$$ in February of 1943.
• Monticello, FL was $$\text-2^\circ\text{F}$$ in February of 1899.
• East Saint Louis, IL was $$\text-36^\circ\text{F}$$ in January of 1999.
• Greenville, GA was $$\text-17^\circ\text{F}$$ in January of 1940.
1. Which of these states has the lowest record temperature?
2. Which state has a lower record temperature, FL or GA?
3. Which state has a lower record temperature, CT or IL?
4. How many more degrees colder is the record temperature for GA than for FL?
(From Unit 7, Lesson 1.)

### Problem 6

Find the quotients.

1. $$0.024 \div 0.015$$
2. $$0.24 \div 0.015$$
3. $$0.024 \div 0.15$$
4. $$24 \div 15$$
(From Unit 5, Lesson 13.)