- Integers include whole numbers and their opposites on the number line including zero. Positive numbers are greater than zero, while negative numbers are less than zero. - Integers can be compared and ordered on a number line, with numbers to the left being less than those to the right. Their absolute values represent distances from zero. - Integers are used to represent real-world concepts like temperature, elevation, and financial amounts, with positive integers for gains and negative for losses or amounts owed.

1. Number line and theNumber line and the
INTERESTINGINTERESTING
INTEGERS!INTEGERS!
5
-7
-3
-8
4

2. What You Will Learn:What You Will Learn:
 Vocabulary related to integers
 Comparing of integers
 Ordering of integers
 Absolute Value
Are you ready??Are you ready??

3. Introduction to IntegersIntroduction to Integers
•VocabularyVocabulary
• positive numberpositive number
• negative numbernegative number
•Horizontal & vertical number linesHorizontal & vertical number lines
•Comparing IntegersComparing Integers
•Ordering IntegersOrdering Integers
•Vocabulary - continuedVocabulary - continued
• opposite numberopposite number
• integerinteger
•Real World Applications & ExamplesReal World Applications & Examples
• temperaturetemperature
• sea levelsea level
• moneymoney

4. Vocabulary:
Integers – all the whole numbers
and all of their opposites on the
number line including zero
0 1 2 3 4 5 6-1-2-3-4-5-6
integers

5.  Positive number – a number
greater than (>) zero
0 1 2 3 4 5 6
Vocabulary:

6. Hint:Hint:
 If you don’t see a negative or
positive sign in front of a number,
the number is positive.
9 is the same as +9

7.  Negative number – a number less
than (<) zero
0 1 2 3 4 5 6-1-1-2-2-3-3-4-4-5-5-6-6
Vocabulary:

8. Integer Number LineInteger Number Line
Horizontal
Numbers above or right of 0
are positive
Numbers below or left of 0
are negative ZERO

9. Integer Number LineInteger Number Line
Vertical
Numbers above 0
are positive
ZER
O
Numbers below 0
are negative

10. 0 1 2 3 4 5 6-1-2-3-4-5-6
You would write the comparison as -6 < -1
Comparing IntegersComparing Integers
On a number line the number to the left is
always less than the number on the right.
Look at the digit -6 it is less than -1 because it
is to the left on the number line.

11. Use the number line to compare the
following integers with >, <, or =.
-4 -2 1 -3 -5 0
Hint: On a number line, the number to the left is
always less than the number to the right.
Comparing IntegersComparing Integers
<
< >

12. Use the number line to compare
the following integers with >, <,
or =.
Comparing IntegersComparing Integers
Hint: On a number line, the number on the
top is always greater than the number on
the bottom.
-3 -5 -5 0 0 -1>
>
>

13. Ordering IntegersOrdering Integers
Use the number line to put the following
integers in order from least to greatest.
-4, 3, 0, and -5 -5, -4, 0, 3

14.  Opposite Numbers – numbers
that are the same distance from
zero in the opposite direction
0 1 2 3 4 5 6-1-2-3-4-5-6
Vocabulary:

15. What is the opposite of each
integer?
+7 -7
+5
-1
+8
+1
5 -8

16. Is the number’s distance from “0”
on the number line.
0 1 2 3 4 5 6-1-2-3-4-5-6
Vocabulary: Absolute Value
The Absolute Value of -3 is 3 because
-3 is 3 units from 0.

17. Now, you’re probably saying,
“That’s interesting and
everything, BUT where are
negative numbers in the real
world??
??

18. Negative Numbers Are Used to
Measure Temperature

19. Negative Numbers Are Used to
Measure Under Sea Level
0
10
20
30
-10
-20
-30
-40
-50

20. Positive and negative numbers
are used when keeping track of
money.
+ Positive +
$$ you earn
- Negative -
$$ you spend

21. Positive Numbers are Used to Show
Earnings or Assets
When you get paid
(or win the lottery),
you add that $$ to
your account.

22. Negative Numbers are Used to Show
What You Owe or Debt
If your mom loaned you $10 for pizza,
Mom,
I. O. U.
$10
The $10 you owe her is described by
the integer -10.

23. Write an integer to describe the real
world situation:
 Gain 3 pounds:
 Withdraw $15:
 5 feet below sea level:
 Move ahead 4 spaces:
3 or +3
-15
-5
4 or +4

24. Aren’t integers
interesting?