Understanding
Integers
a. identify real-life situations that make
use of integers;
b. describe the set of integers;
c. compare integers with other numbers such
as whole numbers, fractions, and decimals;
LEARNING TARGET:
d. represent integers on the number line; and
e. compare and arrange integers.
Determine whether the
given situation is positive or
negative.
Determine whether the given situation is positive or
negative.
Situation Happy or Sad Explanation
1
An increase in the family’s
monthly income
2 A loss of sales in business
3
A withdrawal from a savings
account in a bank
4 A loan or debt from a bank
5
A deposit to increase savings in a
bank
 the temperature of an object can be
The two symbols help us determine the warmness or coldness of an object.
These symbols are used in many things.
Every day, we can see the symbols
indicates profit
 denoting net gain and loss in business
and
implies loss
 In accountancy
debit credit
Determine whether the given
situation is positive or
negative.
a loss of ₱7,500
Determine whether the given
situation is positive or
negative.
a loss of ₱7,500
Determine whether the given
situation is positive or
negative.
withdraw of ₱3,000
Determine whether the given
situation is positive or
negative.
withdraw of ₱3,000
Determine whether the given
situation is positive or
negative.
17 steps backward
Determine whether the given
situation is positive or
negative.
17 steps backward
Determine whether the given
situation is positive or
negative.
45 degrees above zero
Determine whether the given
situation is positive or
negative.
45 degrees above zero
Determine whether the given
situation is positive or
negative.
expenditure of ₱35,000
Determine whether the given
situation is positive or
negative.
expenditure of ₱35,000
Determine whether the given
situation is positive or
negative.
gain of 5 pounds
Determine whether the given
situation is positive or
negative.
gain of 5 pounds
Determine whether the given
situation is positive or
negative.
In mathematics, the positive
are called
numbers include
counting numbers
which are at the right of zero in the number line
and so on,
Positive Integers
Those that are located at the left side of zero, are called
Negative
Integers
Zero is neither a positive nor a negative number.
 Notice that each positive integers has a corresponding
negative integers.
Which do you think has a higher value?
+2 or +5
+5 is to the right of +2
-8 or -5
-8 is to the left of -5
The values of the numbers increase
from left to the right.
The values of the numbers
decrease from right to the left.
Write Right or LEFT to
complete the statement.
Write Right or LEFT to complete the
statement.
+3 is to the _______
of +7.
Write Right or LEFT to complete the
statement.
+3 is to the _______
of +7.
left
Write Right or LEFT to complete the
statement.
+5 is to the _______
of -7.
Write Right or LEFT to complete the
statement.
+5 is to the _______
of -7.
right
Write Right or LEFT to complete the
statement.
-4 is to the _______
of +4.
Write Right or LEFT to complete the
statement.
-4 is to the _______
of +4.
left
Write Right or LEFT to complete the
statement.
-47 is to the
_______ of +3.
Write Right or LEFT to complete the
statement.
-47 is to the
_______ of +3.
left
Write Right or LEFT to complete the
statement.
+6 is to the _______
of 0.
Write Right or LEFT to complete the
statement.
+6 is to the _______
of 0.
right
Aside from using the number
line, we can also familiarize
ourselves with the following
facts:
Every positive integers is greater
than zero and any negative
integers.
Zero is greater than any negative
integers.
When comparing two integers in a
number line, the greater number
is to the right of the other.
-consist of
the positive
integers,
the negative
-may be designated
by
a+ sign or by no
sign at all
-are designated by
a- sign
-3 and +3 are opposite integers
because they are on opposite
sides of zero but are the same
 means to remove any negative
sign in front of a number, and to
think of all numbers as positive
(or zero).
29 feet above sea
level
29 feet above sea
level
+29
₱5,500 deposited in
a bank
₱5,500 deposited in
a bank
+₱5,50
an elevator on the
ground floor
an elevator on the
ground floor
0
2 points loss in
basketball game
2 points loss in
basketball game
-2
25 minutes before
departure
25 minutes before
departure
+25
dropped 260C
dropped 260C
-260

Math 6 - Understanding Integers