Ch 2 – Integers, Rational
Numbers and Real Numbers
Tuesday (August, 22nd 2023) – Negative Integers
A. Integers
• Integers is a special set of numbers comprising zero,
positive numbers and negative numbers.
• The integers are represented by the symbol “Z”
Example:
𝑍 = … , −7, −6, −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7, …
B. Integer Number Line
“The number on the
right are more than
number on the left”
C. Relationship of number concisely
and precisely
Some notation that used to represent the relationship of number:
• > represent ‘more than’ (or ‘greater than’)
• < represent ‘less than’ (or ‘smaller than’)
• ≥ represent ‘more than or equal to’
• ≤ represent ‘less than or equal to’
Inequalities
Notation
Integer Number Line
Fill in the blank with
notation < 𝒂𝒏𝒅 >
“The number on the
right are more than
number on the left”
Question:
−𝟕 … … … . 𝟓
𝟏𝟎 … … … . −𝟏𝟎
−𝟔 … … … . −𝟐
−𝟕 … … … . −5
D. Addition of Integers
There are two types of addition of Integers:
1. Addition two negative integers
Example:
−2 + −5 = − 2 + 5 = −7
2. Addition of a positive and a negative integer
Example:
8 + −6 = 8 − 6 = 2
Today’s Agenda: August,
rd
23
2023
• Review about Introduction of integers and
addition of negative integers
• Continue about Subtraction of Integers
Introduction of integers
Open your textbook page 33. Then, finish
practice now 1A and Investigation
Review: Addition of
Integers!!
1. −𝟖 + −𝟕 = ⋯
2. (−𝟓) + (−𝟗) = ⋯
3. 𝟏𝟐 + −𝟔 = ⋯
4. −𝟏𝟐 + 𝟐𝟒 = ⋯
Please continue do
exercise from
textbook page 14 – 15
number
𝟏, 𝟐, 𝟗, 𝒂𝒏𝒅 𝟏𝟎
Review: Addition of
Integers!!
1. −𝟖 + −𝟕 = ⋯
2. (−𝟓) + (−𝟗) = ⋯
3. 𝟏𝟐 + −𝟔 = ⋯
4. −𝟏𝟐 + 𝟐𝟒 = ⋯
Different sign: Greater absolute
value – the smaller & use the sign
of the greater absolute value
Same sign: add the absolute values
& use sign from problem
E. Substraction of Integers
The Clue is “ADD THE
OPPOSITE”
There are three types of addition of Integers
1. Substraction between two positive integers
Example:
2 − 5 = − 5 − 2 = −3
2. Substraction of a positive integer from a negative integer
Example:
−5 − 2 = − 5 + 2 = −7
E. Substraction of Integers
There are three types of addition of Integers
3. Substraction between two positive integers
Example:
5 − −2 = 5 + 2 = 7
Practice Time:
Announcement:
Re-test on Friday (August, 25th 2023)
“Take your time learn from
previous question quiz”