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(EDUCATION) Learn Mathematics in 10 minutes with Samuel Ngbede (Lesson 2)

Written By Idoma Television on Tuesday, May 10, 2016 | 1:41:00 AM






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
-2
 
                                                   Section 9
Also the opposite of -5 is 5
Now what is the opposite of -8?
Check your answer in the next section
 8
 
                                                                           Section 10
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
-12
 
                                                Section 11

                                                          Page 3
In the same way, the opposite of -16 is +16.
Write the opposite of -30
Check your answer in the next section
+30
 
                                                Section 12
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
Negative Numbers
numbers
 
                                                Section 13

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
-20,-19-18, 13, 14, 15
 
                                       Section 14

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
-9, -8, -7, +7, +8, +9
 
                                       Section 15

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
Directed Numbers
 
                                                Section 16


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
Directed Numbers
 
                                      Section 17



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
integers
 
                                                  Section 19
                              
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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