1. Lesson 1.4 Comparing and Ordering Integers
Essential Question: How do you compare and order integers?

2. Supercooling Point (°C)
Before we start…
Insect
Supercooling Point (°C)
Arctic Beetle
-54
Gall beetle
-35
Goldenrod gallfly -9
Snow flea
-19
Wooly bear caterpillar
-70
Water freezes at 0°C, but some animals can resist freezing by producing a chemical that lowers the temperature at which the water in their bodies freezes.
This temperature is called the supercooling point.
Which of the insects listed in the table has the lowest supercooling point?

3. The elevation of several places on Earth is given below
The elevation of several places on Earth is given below. Can you order them from highest to lowest?
South Bend, Indiana
Valdes Peninsula, Argentina
Fresno, California
Laredo, Texas
Cambridge, Massachusetts
Lake Eyre, South Australia
Dead Sea, Israel-Jordon

4. What are integers? Integers are the numbers -3, -2, -1, 0, 1, 2, …
Positive integers are integers that are greater than 0
Negative integers are integers that are less than 0
0 is neither positive nor negative.

5. Write the integer that represents the situation
Write the integer that represents the situation. Then write the opposite of that integer.
A golf score of 3 under par
A deposit of $100 into your savings account
Scoring 20 points on a quiz
Missing 7 questions on a quiz

6. How do you compare and order integers?
To order integers, you have to compare them.
You can use a number line to do so if needed.
The numbers decrease as you move to the left and increase as you move to the right on a number line. Negative integers are less than positive integers.

7. Order these integers from least to greatest: -8, 5, -4, 2, 0, 6

8. Order these integers from least to greatest: 3, -4, 0, -9, 4, 1

9. Give two integers that make the statement true.
0<𝑑 𝑐<23
2<𝑝<7 9>𝑡>−2

10. What is absolute value? The distance between a and 0 on a number line.
The symbol 𝑎 represents the absolute value of a.

11. Absolute Value of a Number

12. Find the absolute value of the numbers

13. Find the absolute value of the numbers

14. What are opposites?
Two numbers that are the same distance from 0 on a number line but are on opposite sides of 0.
4 and – 4 are opposites
−𝑎 is the opposite of 𝑎

15. Find the opposites of the given numbers

16. Find the opposites of the given numbers

17. Evaluate the expression when 𝑦=−5−𝑦
17− 𝑦
𝑦 +3

18. Evaluate the expression when 𝑥=−4
12− 𝑥 −𝑥
𝑥 +9

19. Evaluate the expression when 𝑥=−9 and 𝑦=−15
𝑥 + 𝑦
− 𝑦
− 𝑥

20. State the absolute value of the number
State the absolute value of the number. a) 1 b) −9 c) − 3 7 State the opposite of the number. a) −32 b) 1.49 c) 4 5 Evaluate the expression when 𝑥=−3 a) 𝑥 +8 b) 𝑥 + −1 c) 4+ 𝑥

21. Neptune’s Moons In 1989, data collected by the Voyager spacecraft showed the surface temperature of Triton, Neptune’s largest moon, to be about −392°F. Eight years later, data from the Hubble telescope showed the temperature to be about −389°F. Did the Hubble data indicate a temperature less than or greater than the one based on the Voyager data?

22. Miniature Golf In miniature golf, par is the expected number of strokes to finish a hole. Your score for the game is the sum of your number of strokes above or below par for each hole. The player with the least score wins. Order the scores given in the table from least to greatest to determine the order of finish.
Player
Score
Jerri −5
Elinor +3
Lance −2
Hugh +1
Fernando −3

23. How do you compare and order integers?

24. Ticket Out the Door
Order the elements in the table from the lowest boiling-point temperature to highest.
Element
Hydrogen
Mercury
Nitrogen
Oxygen
Temperature
- 2593°C
357°C
-196°C
-183°C