Lesson 5
Comparing Numbers and Distance from Zero
Problem 1
In the context of elevation, what would |\text-7| feet mean?
Solution
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Problem 2
Match the the statements written in English with the mathematical statements.
Solution
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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
Solution
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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.
Solution
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(From Unit 7, Lesson 3.)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?
Solution
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(From Unit 7, Lesson 1.)Problem 6
Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah's cookies were left after the bake sale?
Solution
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(From Unit 6, Lesson 4.)