The lesson included in this file is Integers. This file can be used to introduced the concepts on integers such as its rules on the basic operations. Several examples are also provided in this file.
1. 0 1 2 3 4 5 6 7 8 9 10
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
POSITIVE Integers
NEGATIVE Integers
NEUTRAL Integer
Neither positive nor
negative
● located on the RIGHT side
of zero on the number line
● values are GREATER THAN 0
● located on the LEFT side of
zero on the number line
● values are LESS THAN 0
An INTEGER is a positive number, a negative
number, or zero.
● ( – ) (eg. -2) ● ( + ) or none (eg. +2 or 2)
4. The absolute value of an integer is its distance
from zero on the number line. The symbol
for absolute value is a bar||.
0 1 2 3 4 5 6 7 8 9 10
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
“the absolute value of +5 is 5.”
|+5| = 5
|-4| = 4 “the absolute value of -4 is 4.”
5. Give the absolute value of each integer.
a) |7| = 7
b) |-24| = 24
c) |-75| = 75
d) |100| = 100
e) |20| = 20
f) |-333| = 333
16. Adding Integers with the Same Signs
POSITIVE + POSITIVE = POSITIVE
NEGATIVE + NEGATIVE = NEGATIVE
5 + 3 = 8
-5 + -3 = -8
10 + 6 = --
-10 + -6 = 16
16
-16
When adding
integers, SAME signs
🡪 add, copy sign
17. POSITIVE + NEGATIVE = POSITIVE
5 + (-3) = 2 -6 + 10 = 4
Adding Integers with the Different Signs
-3 + 5 = 2 10 + -6 = 4
2 4
POSITIVE + NEGATIVE = POSITIVE
3 + -5 = -2 6 + -10 = -4
-5 + 3 = 2 -10 + 6 = 4
-2 -4
When adding integers, DIFFERENT signs 🡪 subtract, copy the sign of the integer
with the GREATER absolute value
18. 12
1 5 + 7 =
-2
2 -7 + 5 =
-2
3 5 + -7 =
-12
4 -5 + -7 =
2
5 -5 + 7 =
2
6 9 + -7 =
-15
7 -20 + 5 =
-19
8 -8 + -11 =
-50
9 -100 + 50 =
20
10 14 + 6 =
Add the following.
When adding integers, DIFFERENT signs 🡪 subtract, copy the sign of
the integer with the GREATER absolute value
When adding integers, SAME signs 🡪 add, copy sign
19. Subtracting Integers with the Same Signs
POSITIVE - POSITIVE = POSITIVE
5 - 3 = 2
10 - 6 = 4
5 + -3 = 2
10 + -6 = 4
4
3 - 5 = -2
6 - 10 = -4
3 + -5 = -2
6 + -10 = 4
-4
POSITIVE - POSITIVE = NEGATIVE
4
-4
When subtracting integers, SAME signs 🡪 subtract, copy the sign of the
integer with the GREATER absolute value
20. Subtracting Integers with the Same Signs
NEGATIVE - NEGATIVE = POSITIVE or NEGATIVE
-5 – -3 = -2
-6 – -10 = 4
-5 + 3 = -2
-6 + 10 = 4
Minus negative will become PLUS POSITIVE
– -3 will become + 3
4 4
21. Subtracting Integers with Different Signs
POSITIVE - NEGATIVE = POSITIVE
5 – -3 = 8
10 – -6 = 16
5 + 3 = 8
10 + 6 = 4
16
Minus negative will become PLUS POSITIVE
– -3 will become + 3
16
Since the operation will become ADDITION, SAME signs 🡪
add, copy sign
22. Subtracting Integers with Different Signs
NEGATIVE - POSITIVE = NEGATIVE
-5 – 3 = -8
-10 – 6 = -16
-5 + -3 = -8
-10 + -6 = 4
-16
-16
Minus positive will become PLUS NEGATIVE
– 3 will become + -3
ADD, SAME signs (both negative) 🡪 add, copy sign (negative)
