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 =.

  • \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

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.

  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.

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.
  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?

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.)