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 \(\text7\) feet mean?
Problem 2
Match the the statements written in English with the mathematical statements.
Problem 3
Compare each pair of expressions using >, <, or =.

\(\text32\) _____ \(15\)

\(\text32\) _____ \(15\)

\(5\) _____ \(\text5\)

\(5\) _____ \(\text5\)

\(2\) _____ \(\text17\)

\(2\) _____ \(\text17\)

\(\text27\) _____ \(\text45\)

\(\text27\) _____ \(\text45\)
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.
 Her grandmother gave her $25 in a birthday card.
 She earned $14 dollars babysitting.
 She spent $10 on a ticket to the concert.
 She donated $3 to a local charity
 She got $2 interest on money that was in her savings account.
Problem 5
Here are the lowest temperatures recorded in the last 2 centuries for some US cities.
 Death Valley, CA was \(\text45^\circ\text{F}\) in January of 1937.
 Danbury, CT was \(\text37^\circ\text{F}\) in February of 1943.
 Monticello, FL was \(\text2^\circ\text{F}\) in February of 1899.
 East Saint Louis, IL was \(\text36^\circ\text{F}\) in January of 1999.
 Greenville, GA was \(\text17^\circ\text{F}\) in January of 1940.
 Which of these states has the lowest record temperature?
 Which state has a lower record temperature, FL or GA?
 Which state has a lower record temperature, CT or IL?
 How many more degrees colder is the record temperature for GA than for FL?
Problem 6
Find the quotients.
 \(0.024 \div 0.015\)
 \(0.24 \div 0.015\)
 \(0.024 \div 0.15\)
 \(24 \div 15\)