INTEGERS
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?
KEY VOCABULARY
•Integers
•Positive Integers
•Negative Integers
•Opposites
•Absolute value
•Additive Inverse
Property
INTEGERS
• Whole numbers and their opposites are
integers such as 6 and -6.
• Zero is not positive or negative but is an
integer.
-6
0
6
Opposites
What do you notice about the
opposite pairs?
Positive number – a
number greater than
zero.
0 1 2 3 4 5 6
Negative number- a
number less than
zero.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
NEGATIVE
NUMBERS
CAN BE USED
TO MEASURE
TEMPERATURES
BELOW ZERO.
NEGATIVE
NUMBERS
ARE USED
TO MEASURE
PLACES
BELOW SEA
LEVEL.
NEGATIVE
NUMBERS
ARE
USED TO
SHOW
DEBT
(WHAT
YOU
OWE.)
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?
Comparing itegers
THE INTEGER TO
THE RIGHT ON THE
NUMBER LINE IS
ALWAYS LARGER.
-2 > -17
Greater
than
0 < 22
Less
than
-247 > -400
Greater
than
OPPOSITE NUMBERS
numbers that are the same distance
from zero in the opposite direction
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
What is the opposite of 0?
What do you notice
about the location of
the opposite pair of
integers?
-6
0
Opposites
6
CLASS DISCUSSION
DISTANCE
•What is distance?
•What kind of numbers are used to
show distance?
VIDEO
• https://youtu.be/wrof6Dw63Es
ABSOLUTE VALUE
Absolute value is
always positive.
The distance
a number is
from zero on
the number
line.
The symbol for
absolute value is
4
-4
Absolute value does not
equal opposite.
QUESTION?
If |x| = 3, what is the value
of x?
ANSWER
-3 or 3
Y
O
U
R
T
U
R
N
DISTANCE ON A NUMBER LINE
• How can you find the distance between two numbers
on a number line?
Practice
https://schoolyourself.org/learn/algebra/distance-1d
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
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)