Representing INTEGERS

1

• Representing INTEGERS

2
What is an Integer?

• An INTEGER is any negative or positive whole
  number
• Examples
• -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
• No Fractions, No Decimals

3
Positive INTEGERS ()

• KEY WORDS
• go UP
• Earn
• Rose / Rise
• Increase
• Gained
• In
• Ascend
• Above Zero

4
Negative INTEGERS (-)

• KEY WORDS
• Down
• Spend
• Fell / Dropped
• Decrease
• Lost
• OutDescend
• Below Zero

5
Many situations can be represented with
INTEGERS. Sometimes the situation must be
represented by a Positive Integer, sometimes by a
Negative Integer.

• EXAMPLES
• An elevator moves down 3 floors -3
• Sue earned 5 for babysitting 5
• The stock market fell 20 points -20
• The balloon rose 30 feet into the air 30

6
Images can depict integers as well
7

• What integer represents the planes height?
• What about the submarines height?

8
Representing INTEGERS (-) or ()

• EX 1
• All of the following situations below can be
  represented by the integer 18, except which one?
• The population increased by 18.
• Jon earned 18 by pet sitting
• 18 gallons of water flowed out of the water tank.
• The football team gained 18 yards.

9
Representing INTEGERS (-) or ()

• EX 2
• A company produced 5,000 shoelaces in 5 hours on
  Monday. On Tuesday, it produced 5,250 shoelaces
  in 5 hours. Which integer represents the CHANGE
  in number of shoelaces produced from Monday to
  Tuesday?
• 250
• 25
• -25
• -250

10
Representing INTEGERS (-) or ()

• EX 3
• A hawk flew up to a height of 46 feet and then
  dove 18 feet toward the ground. Which integer
  describes the hawks height now?
• 64
• 28
• -28
• -64

11
Representing INTEGERS (-) or ()

• EX 4
• Nicole went snow skiing. When she left the
  slopes on Saturday, the temperature was -3.
  The temperature dropped 11 degrees by the time
  the sun went down that evening. What was the
  temperature when the sun went down?
• 8
• -8
• -11
• -14

12
Representing INTEGERS (-) or ()

• EX 5
• A submarine descended 300 feet below sea level
  and then descended another 800 feet. What is the
  final depth of the submarine?
• 1,100 ft
• 500 ft
• -500 ft
• -1,100 ft

13
Representing INTEGERS (-) or ()

• EX 6
• At 6 a.m. the temperature was 4 below zero. By
  noon, the temperature had increased 10 degrees.
  What was the temperature at noon?
• - 14
• 8
• - 4
• 6

14
Write the Integer Described

• 1. Sam lost eleven pounds after working out and
  dieting.
• 2. Sally found thirty-five seashells on the beach
  during her vacation.
• 3. Tom picked twenty-eight limes at the orchard.
• 4. The stock market dropped forty-one points
  after the bad economic news yesterday.
• 5. Fred grew twenty-one watermelons on his
  farm.

15
Ticket Out

• Which of these scenarios is not represented by
  the integer 15?
• Martin found fifteen dollars in the Target
  parking lot
• After 6 hours, Emilio had washed fifteen cars
• Cameren used fifteen gallons of gas travelling to
  Mississippi.
• Charlie sold his couch for fifteen dollars more
  than he paid for it.