Lesson 1

Interpreting Negative Numbers

The practice problem answers are available at one of our IM Certified Partners

Problem 1

It was \(\text- 5 ^\circ \text{C}\) in Copenhagen and \(\text- 12 ^\circ \text{C}\) in Oslo. Which city was colder?

Problem 2

  1. A fish is 12 meters below the surface of the ocean. What is its elevation?
  2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?
  3. If the bird is directly above the fish, how far apart are they?

Problem 3

Compare using >, =, or <.

  1. 3 _____ -3
  2. 12 _____ 24
  3. -12 _____ -24
  4. 5 _____ -(-5)
  5. 7.2 _____ 7
  6. -7.2 _____ -7
  7. -1.5 _____ \(\frac {\text{-}3}{2}\)
  8. \(\frac {\text{-}4}{5}\) _____ \(\frac {\text{-}5}{4}\)
  9. \(\frac {\text{-}3}{5}\) _____ \(\frac {\text{-}6}{10}\)
  10. \(\frac {\text{-}2}{3}\) _____ \(\frac13\)

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?

(From Grade7, 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.

  1. Find a mixture that will make the same shade of green but a smaller amount.

  2. Find a mixture that will make the same shade of green but a larger amount.

  3. Find a mixture that will make a different shade of green that is bluer.

  4. Find a mixture that will make a different shade of green that is more yellow.

(From Grade7, Unit 2, Lesson 1.)