Lesson 1
Interpreting Negative Numbers
Problem 1
It was \(\text- 5 ^\circ \text{C}\) in Copenhagen and \(\text- 12 ^\circ \text{C}\) in Oslo. Which city was colder?
Solution
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Problem 2
- A fish is 12 meters below the surface of the ocean. What is its elevation?
- A sea bird is 28 meters above the surface of the ocean. What is its elevation?
- If the bird is directly above the fish, how far apart are they?
Solution
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Problem 3
Compare using >, =, or <.
- 3 _____ -3
- 12 _____ 24
- -12 _____ -24
- 5 _____ -(-5)
- 7.2 _____ 7
- -7.2 _____ -7
- -1.5 _____ \(\frac {\text{-}3}{2}\)
- \(\frac {\text{-}4}{5}\) _____ \(\frac {\text{-}5}{4}\)
- \(\frac {\text{-}3}{5}\) _____ \(\frac {\text{-}6}{10}\)
- \(\frac {\text{-}2}{3}\) _____ \(\frac13\)
Solution
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Problem 4
Han wants to buy a $30 ticket to a game, but the pre-order tickets are sold out. He knows there will be more tickets sold the day of the game, with a markup of 200%. How much should Han expect to pay for the ticket if he buys it the day of the game?
Solution
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(From Unit 4, Lesson 7.)Problem 5
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
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Find a mixture that will make the same shade of green but a smaller amount.
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Find a mixture that will make the same shade of green but a larger amount.
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Find a mixture that will make a different shade of green that is bluer.
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Find a mixture that will make a different shade of green that is more yellow.
Solution
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(From Unit 2, Lesson 1.)