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 =.
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\(\text-32\) _____ \(15\)
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\(|\text-32|\) _____ \(|15|\)
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\(5\) _____ \(\text-5\)
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\(|5|\) _____ \(|\text-5|\)
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\(2\) _____ \(\text-17\)
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\(2\) _____ \(|\text-17|\)
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\(|\text-27|\) _____ \(|\text-45|\)
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\(|\text-27|\) _____ \(\text-45\)
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.
- 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 \(\text-45^\circ\text{F}\) 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.
- 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.
- \(0.024 \div 0.015\)
- \(0.24 \div 0.015\)
- \(0.024 \div 0.15\)
- \(24 \div 15\)