This document defines integers and discusses their properties and real-world applications. Integers include whole numbers and their opposites, such as 6 and -6. Negative numbers are used to represent temperatures below zero, locations below sea level, and amounts of debt. The absolute value of a number represents its distance from zero on the number line. Opposite numbers are integers that are the same distance from zero but in opposite directions. Distance between integers can be found by subtracting their absolute values if they are on the same side of zero, and adding if they are on opposite sides.

1. INTEGERS

2. UNIT ESSENTIAL
QUESTIONS
•What are integers?
•When do we work with integers in
the real world?
•What situations can be
represented with integers?
•How do we add and subtract
integers?

3. KEY VOCABULARY
•Integers
•Positive
Integers
•Negative
Integers
•Opposites
•Absolute value
•Additive
Inverse

4. INTEGERS
•Whole numbers and their opposites
are integers such as 6 and -6.
•Zero is not positive or negative but
is an integer.
0 6
-6
Opposites
What do you notice about the
opposite pairs?

5. Positive number – a
number greater
than zero.
0 1 2 3 4 5 6

6. Negative number- a
number less than
zero.
0 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6

7. NEGATIVE
NUMBERS
CAN BE
USED TO
MEASURE
TEMPERATU
RES BELOW
ZERO.

8. NEGATIVE
NUMBERS
ARE USED
TO
MEASURE
PLACES
BELOW SEA
LEVEL.

9. NEGATIVE
NUMBERS
ARE
USED TO
SHOW
DEBT
(WHAT
YOU
OWE.)

10. Examples of words that can be used to represent
positive and negative situations.
Can you think of other words used in real life
to represent a positive or negative situation?

12. THE INTEGER
TO THE RIGHT
ON THE
NUMBER LINE IS
ALWAYS
LARGER.
-2 > -17
Comparing itegers
Greater
than
0 < 22
Less
than
-247 > -400
Greater
than

15. 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
What is the opposite of 0?

16. 0 6
-6
Opposites
What do you notice
about the location of
the opposite pair of
integers?

17. CLASS DISCUSSION
•What is distance?
•What kind of numbers are
used to show distance?
DISTANCE

18. VIDEO
• https://youtu.be/wrof6Dw63Es

19. ABSOLUTE VALUE
The distance
a number is
from zero on
the number
line.
Absolute value is
always positive.
The symbol for
absolute value is
-4
Absolute value does not
equal opposite.
4

21. QUESTION?
If |x| = 3, what is the value
of x?

22. ANSWER
-3 or 3

23. Y
O
U
R
T
U
R
N

24. DISTANCE ON A NUMBER LINE
• How can you find the distance between two
numbers on a number line?
Practice
https://schoolyourself.org/learn/algebra/dis
tance-1d

25. TO FIND THE DISTANCE BETWEEN ANY TWO
NUMBERS ON THE SAME SIDE OF ZERO YOU NEED
TO SUBTRACT THE TWO NUMBERS ABSOLUTE
VALUE.
EXAMPLES: DISTANCE BETWEEN -5 AND -12 IS 7
DISTANCE BETWEEN 20 AND 38 IS 18
TO FIND THE DISTANCE BETWEEN ANY TWO
NUMBERS ON OPPOSITE SIDES OF ZERO YOU NEED
TO ADD THE TWO NUMBERS ABSOLUTE VALUE.
EXAMPLES: DISTANCE BETWEEN -12 AND 4 IS 16
DISTANCE BETWEEN -21 AND -4 IS 25

26. WORKBOOK VOLUME 1
(additive inverse)
p. 193 (e, f, g)
p. 194 (1-8)
p. 195 (1-11)
p. 223-224 (distance on a number line)