You are welcome to this lesson
called the integers. At the end of this lesson, you will understand the
following:
a. Positive
Numbers
b. Negative
Numbers
c. Directed
Numbers
d. Integers
Move to
the next section______________________________________________
Section
2
Numbers
used in counting are called 1, 2, 3, 4, 5, 6, 7, 8, 9…
Now write
the counting numbers from 15 to 20
Check
your answers in the next section__________________________________
Section 3
15, 16, 17, 18, 19, 20

All
counting numbers are positive numbers. Thus, counting numbers such as 1, 2, 3,
4, 5, 6, 7, 8, 9… are called positive numbers.
Write down
all positive numbers from 10 t0 14.
Check
your answers in the next section_____________________________________
Section 4
10, 11, 12, 13, 14

Positive
numbers such as 1, 2, 3, 4, 5, 6, 7, 8, 9… can also be written as +1, +2,
+3,+4, +5, +6, +7, +8, +9…
Positive
numbers such as 10 11 12 13 14 15 can be written as
Check
your answers in the next section____________________________________
Section 5
+10,
+11, +12, +13, +14, +15

Positive
numbers such as +21, +22, +23, +24, +25 can also be written as 21, 22, 23, 24,
25.
Now
positive numbers such as +37,+38, +39… can be written as
PAGE
2
Check
your answers in the next section___________________________________
Section 6
37,
38, 39

From the
above, it is established that +1 is the same as 1 and +5 is the same as
5.
Thus, +11
is the same as
Check
your answers in the next section___________________________________
Section 7
11

Therefore,
numbers such as 4, +7, 13, +30 etc are called positive numbers.
The
numbers +2, 3, +10, 14… are called
Check
your answers in the next section___________________________________
Positive numbers

Section 8
Every number except zero has its opposite. The opposite of 1
is 1
What is the opposite of 2?
Check
your answer in the next section

Also the opposite of 5 is 5
Now what is the opposite of 8?
Check
your answer in the next section

We understand from above that +21 and 21 are the same.
Therefore, the opposite of +7 is 7.
Now what is the opposite of +12?
Check
your answer in the next section

Page
3
In the same way, the opposite of 16 is +16.
Write the opposite of 30
Check
your answer in the next section

In general, numbers such as 1, 2, 3, 4, 5, 6, 7, 8,
9… are called negative numbers.
Now numbers 11, 12, 13, 14, 15 are
called
Check
your answer in the next section

Positive numbers such as 1,2,3,4,5,6,7,8,9… can be combined
with negative numbers such as 1,2,3,4,5,6,7,8,9… as shown below.
9,8,7,6,5,4,3,2,1, 1, 2, 3,4,5,6,7,8,9
Now arrange the positive numbers 13, 14, 15 and negative
numbers 20,19, 18
Check
your answer in the next section

The combination of positive and negative numbers+1, +2,+3
and negative numbers 1,2,3 can be written as
3, 2, 1, +1, +2, +3
Also the combination of positive numbers +7, +8, +9 and
negative numbers 7, 8, 9 can be written as
Check
your answer in the next section

The combination of positive numbers and negative numbers
excluding zero is called directed numbers. Thus numbers 5, 4, 3, 2, 1, 1,
2, 3, 4, 5 are called directed numbers.
Numbers such as 10, 9, 8, 8, 7, 6 are
called
Page
4
Check
your answer in the next section

In the
same way, numbers such as 25,20, 15, +5, +10,+15 are called directed
numbers.
Numbers
such as 7, 6, 5, +1, +2, +3 are called
Check your answer in the next section

Positive numbers, negative numbers and zero can be arranged
together e.g. 5, 4, 3,
2, 1, 0, 1, 2, 3,
4, 5
Now arrange the positive numbers 8, 12, 16 and negative
numbers 6, 5,4 and zero together
Check
your answer in the next section
6,
5, 4, 8,12,16

Section 18
Integers are positive and negative numbers including the
number zero. So numbers such as 2,1, 0, +1, +2, and 3 are called integers.
Numbers such as 19, 18, 17, 0, +4, +5, and +6 are
called
Check
your answer in the next section

EXERCISES
1.
Number
such as 11, 15, 17, 18, 19 are called 
2.
Numbers
such as +30, +35, +40 are called 
3.
Numbers
such as 1,2, 3, 4, 5 are called 
4.
The
opposite of +4, +5, +6, +7 are
5.
Numbers
such as 2,1, 1,6,9 are called
6.
Numbers
such as 3, 2, 1, 0, 1, 2, 3 are called 
7.
The
difference between directed number and integer is
8.
Positive
and negative numbers together is
ANSWERS
1.
Positive
numbers
2.
Positive
numbers
3.
Negative
numbers
4.
4, 5,
6, 7
5.
Directed
number
6.
Integer
7.
Zero
(0)
8.
Directed
number
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