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(EDUCATION) Learn Mathematics in 10 minutes with Samuel Ngbede

Written By Idoma Television on Monday, April 18, 2016 | 12:57:00 AM


By Samuel Ngbede

Mathematics is the study of numbers. Many have difficulty in mathematic because they have no knowledge of numbers. This book is designed to provide an appreciable knowledge in whole numbers so as to help students lay good foundation in mathematic.
Every aspect of mathematics is associated with a particular kind of numbers and often times most students find it strange when a number is mentioned while solving a problem.

This book is therefore an attempt to familiarized students with whole numbers before they go into real mathematics works.
This book is produce to:
1.     Ensure math success for each and every student-average, gifted and remedial;
2.     Improve math skills and close the achievement gap;
3.     Maximize the effectiveness of our existing curricula, instructional materials and textbooks;
4.     Personalize instructions for each and every child;
5.     Make math a job to teach and learn;
6.     Meet the requirement of the No Body Left Behind Act (NBLBA);
7.     Add confidence, subtract frustration and multiple math success;
8.     Boost the study of technology.
HOW TO SUCCEED WITH THIS BOOK
This lesson is called WHOLE NUMBERS. The lesson is subdivided into sections to make math learning and solving effortless, stress-free and interesting. It is like having a personal or one-on-one instructor because you proceed at your own pace of learning.
A systematic approach is used to divide the lesson into numbered sections. Always start a lesson from the first section and fellow carefully the instructions you are given. The section is arrange in a way for you to make valid contributions as a way of trying your understanding of the information in the section, and you can immediately compare your results with the results given in the next section.
To get the best from this book, you are strongly advised not to look into the answer first before solving the problem. Thus you are expected to cover up the following section until you have solved the problem. At every stage, you will be tutored along the right path. There is no need for you to hurry. Read the section carefully and follow the instructions accurately. In this way, you are on your way to math success. The lesson starts with learning outcomes and ends with exercises that enable you to rate your success. If you feel confident about them, you are free to move to the next lesson.
Page 1                                               Section 1
You are welcome to this lesson called the whole numbers. At the end of this lesson, you will understand the following:
a.     Nature Numbers
b.     Whole Numbers
c.      Positive Integers
d.     Positive Rational Integers
e.      Counting Numbers
f.       Place Value System
                                                                                           Move to the next section
                                                                                                Section 2
Numbers used in counting are called “NATURAL NUMBERS”.
Examples are 1, 2, 3, 4, 5, 6, 7, 8…
Now write the first 15 natural numbers

                                                                   Check your answers in the next section
                                                                                                         
Section 3
1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13, ,14, 15,

So, numbers such as 20, 21, 22, 23, 24, 25 etc. are called natural numbers.

Thus, numbers 3, 35, 60, 101 etc. are called ___________________


                                                                   Check your answers in the next section
                                                                                                          Section 4

NATURAL NUMBERS

Natural numbers does not include zero (0)

Therefore, the number zero is not a natural number. Which of the following is not a natural number?
0, 4, 6, 8, 10?

                                                                   Check your answers in the next section
                                                                                                          Section 5
0
Natural numbers begin with one and continue to increase e.g.1, 2, 3, 4, 5…
The smallest natural number is the number 1.
Page 2

The least natural number is the number _______________

                                                                   Check your answers in the next section
                                                                                                          Section 6
1
                                               
Whole numbers are natural numbers including zero. For example: 0, 1, 2, 3, 4, 5, 6, 7 …
Numbers such as 0, 16, 32, 64… Are called ______________
                                                                   Check your answers in the next section
                                                                                                          Section 7
WHOLE NUMBERS

Whole numbers begin with zero (0) not one (1).
Numbers that begin with zero and continue to increase are called ___________
                                                                   Check your answers in the next section
WHOLE NUMBERS
                                                                                                         Section 8

So, natural numbers start from 1 while whole numbers start from 0.
The difference between whole numbers and natural number is the number ___________
Check your answer in the next section
0
 
                                                   Section 9
Differentiate between (a) 1,2,3,4,5,and (b) 0,1,2,3,4,5
Check your answer in the next section
a=Natural numbers b=Whole numbers
 
                                                                           Section 10

Other names for whole numbers are: Positive integers, Positive rational integers and counting numbers.
All numbers that begin with 0 are also called _____________
Page 3
Check your answer in the next section
POSITIVE INTEGERS, POSITIVE RATIONAL INTEGERS, COUNTING NUMBERS
 
                                                                                      Section 11

The value of a number is determined by its position in the number.
For example, the position of 3 in 36 is not the same as the position of 3 in 63.
Now, tell me if the position of 1 in 17 is the same as the position of 1 in 71.
Check your answer in the next section
No
 
                                                                                      Section 12
Numbers with one figure are called single digit numbers.
Examples are 0, 1, 2,3,4,5,6,7,8 and 9.
The number 7 is called _____________
Check your answer in the next section
SINGLE DIGIT NUMBER
 
                                                                                         Section 13

All single digit numbers start from 0 to 9. Therefore, the number 8 is a single digit number.
Now, is it true that number 6 is a single digit number?
Check your answer in the next section
TRUE
 
                                                                              Section 14

All single digit numbers are called UNIT numbers. Thus, number 0, 1, 2,3,4,5,6,7,8 and 9 are called unit numbers.
Is number 3 a unit number?
Check your answer in the next section
YES
 
                                                                              Section 15
If the number 9 stands for 9 units, what does the number 4 stand for?
Check your answer in the next section
4 units
 
                                                                                      Section 16
All unit numbers are represented by U.
Page 4

The number 8 stand for 8 units written mathematically as
U
8
Now write 1 unit mathematically
Check your answer in the next section
U1
 
                                                                               Section 17

We have established earlier that the value of a number is determined by its position in the number.
For example, the position of 2 in 121 is not the same as the position of 2 in 200.
                      Move to the next section
                                                                                       Section 18
Numbers with two figures are called double digits numbers. Examples are 10, 11, 12, 13, 14,… .99
The number 13 is called __________
Check your answer in the next section
DOUBLE DIGITS NUMBER
 
                                                                                        Section 19
All double digits numbers start from 10 to 99. Therefore, the number 72 is a double digit number.
Now, tell me if the number 33 is a double digit number or not.
TRUE
 
 Check your answer in the next section
                                                                                       Section 20
All double digits numbers are called tens and units numbers. Therefore, the numbers 19,27,41,86 e.t.c are called tens and units numbers.
Is the number 79 a tens and units number?
Check your answer in the next section
YES
 
                                                                                      Section 21
In all Tens and Units numbers, the number on the left hand side is called the tens while the number on the right hand side is called the units.
For example, in 95
9 is called the tens while 5 is called the units.
Now which are the tens and units in 84?


Page 5
Check your answer in the next section
8 = Tens 4 = units
 
                                                                                       Section 22

In all Tens and Units number, the first digit which is the number on the left hand side is called the Tens while the second digit which is the number on the right hand side is called the units.
For example, in 16
1 is called the first digit which is the Tens
6 is called the second digit which is the Units.
Can you differentiate the tens and units in 10?
Check your answer in the next section
1 = FIRST DIGIT = TENS        0 =  SECOND DIGIT = UNITS
 
                                                                                         Section 23

All Tens and Units numbers are represented by T U.
The number 57 stands for 5 tens and 7 unit written mathematically as               T   U
                                                                                                  5   7
Now write 28 mathematically
Check your answer in the next section
T              U    2              8
 
                                                                                                Section 24

It is no longer new to us that the value of a number is determined by its position in the number. Thus, the value of 1 in 531 is not the same as the value of 1 in 513.
Now move to the next section
Section 25
Numbers with three digits are called triple digit numbers.
Example are 100, 101,102,103,104,…….999
The number 105 is called ___________

Page 6
Check your answer in the next section
TRIPLE DIGIT NUMBERS
 
                                                                   Section 26

All triple digits numbers start from 100 to 999. Therefore, the numbers 298 is a triple digit number.
Now, tell me if the number 608 is a triple digit number.
Check your answer in the next section
TRUE
 
Section 27
All triple digit numbers are called Hundreds, Tens and Units numbers.
The numbers 109,277,368,890, etc are Hundreds, Tens and Units numbers.
Is the number 704 a Hundreds, Tens and Units numbers?
Check your answer in the next section
YES
 
Section 28
In all Hundreds, Tens and Units numbers, the number on the left is called the Hundreds, the middle number is the Tens and the right hand number is the Units.
For example, in 205
2 is called the hundreds, 0 is the tens and 5 is the units. State the Hundreds, Tens and Units in 347.
Check your answer in the next section
3 =Hundreds 4 = Tens           7 = Units
 
Section 29


So in 859,   8 = First digit = Hundreds
                   5 = Second digit = Tens
                   9 = Third digit = Unit
Show the first, second and third digits in 401.
4= FIRST DIGIT =HUNDREDS 0= SECOND DIGIT = TENS     1= THIRD DIGIT = UNIT
 
Check your answer in the next section
Section 30
Page 7
All hundred, tens and units numbers are represented by H T U
The number 789 stand for 7 Hundreds, 8tens and 9units written mathematically as
 H  T  U
  7  8  9
Now write 104 mathematically
Check your answer in the next section
H   T   U  1    0   4
 
Section 31

As a point of emphasis, the change in position of a number will always change it value.
Thus, the position of 9 in 19 is not the same as the position of 9 in 91. In order words, the value of 9 in 19 is not the same as the value of 9 in 91.
             Now move to the next section
Section 32
Numbers with four digits are called quadruple digits numbers. Examples are 1000, 1001, 1002, 1003,….9999
The number 1216 is called _____________
Check your answer in the next section
QUADRUPLE DIGIT NUMBERS
 
Section 33

All quadruple digit numbers start from i000 to 9999. That make 8057a quadruple digit number.
Now, state if the number 6321 is a quadruple digit number.
Check your answer in the next section
TRUE
 
Section 34
All quadruple digits numbers are called Thousand, Hundred, Tens and Unit numbers.
The numbers 2016, 4531, 1576 etc are Thousands, Hundreds, Tens and Units numbers.
Now, is the number 8964 a quadruple number?
Check your answer in the next section
YES
 
Section 35

Page 8
In the quadruple number 5014,
          5 = First digit = Thousands
          0 = Second digit = Hundreds
          1 = Third digit = tens
          4 = Fourth digit= Units
Tell us the thousand, Hundred, Tens and Unit in 3401
Check your answer in the next section
3=Thousands     4 = Hundreds   0 = Tens             1 = Unit
 
Section 36


All Thousand, Hundred, Tens and Unit are represented by
TH    H       T       U
The number 7152 stands for 7 thousands, 1 hundred, 5 tens and 2 units written mathematically as
TH    H       T       U
7        1        5        2
Now write 1003 mathematically,
Check your answer in the next section
TH   H   T   U 1     0    0   3
 
Section 37

The place value principles as studied above are applied to Ten thousands, Hundred thousands, Millions, Ten millions etc. What we have done so far is the fundamental which is the key to how greater numbers are worked.
Check your answer in the next section
Section 38
Whole numbers can be represented by equally spaced points on a straight line where the first whole number is zero (0).




Page 9


 
                 0    1    2      3     4     5     6     7     8     9
The whole numbers are ordered, they progress from small to large. As we move along the line from left to right, the numbers increase by the arrow at the end of the line.
                                                                   
                                                                                                Please move to the section
                                                                                                          Section 39
On the line, numbers to the right are greater than the numbers to the left.
From line, 7 is greater than 4
          and 3 is greater than 1
Now, write which of these is greater
(a)  0 and 2 (b) 3 and 1
                                                                   Check your answers in the next section
                                                                                                     Section 40
(a)    2 is greater than 4
(b)   8 is greater than 3
 
                                 


On the line, numbers to the left are less than numbers to the right.
Form the line, 5 is less than 9
                        And 4 is less than 6
Now, write which of these is greater
(a)  2 and 8 (b) 1 and 7
                                                                   Check your answers in the next section
                                                                                                          Section 41
(a)                                                                                2 is less than 8
(b)                                                                               1 is less than 7







                                                     Page 10
 Thank you for your Patience, Endurance, Courage, Tenacity and Diligence that have made you come to this far. Just try the exercise below.

                                                                                  Move to the next section
  Section 42
Exercises
1.     The numbers 1, 2, 3, ………… are called ______________
2.     The numbers 0, 1, 2, 3, ………… are called_____________
3.     The difference between natural numbers and whole
numbers is the ________
4.     Other names for whole numbers are _________
5.     Numbers with one figure is called ___________
6.     All single digit numbers starts from __________
7.     All single digit numbers are called ___________
8.     Is number 8 a unit number?
9.     Numbers with two digits are called ___________
10.                         All double digits numbers start from _______ to ______
11.                         Double digits numbers are called _____________
12.                         In the number 45, 4 is the ______ and 5 is the ______
13.                         Numbers with three digits are called ________
14.                         Triple digit numbers starts from ______ to ______
15.                         Triple digits numbers are called ______, ______ and  ______
16.                         The number 321, 3 is the ____,2 is the ____ and 1 is the ____
17.                         Numbers with four digits are called _______
18.                         Quadruple digit numbers are called ____, ____, ____ and ___
19.                         Quadruple digit numbers starts from _______ to ______
20.                        The number 1576, is the _____, 5 is the _____, 7 is the
 _____ and 6 is the ____
21.                         What is the position of 5 in 2506?
22.                         What is the position of 9 in 794?
23.                         What is the position of 8 in 8312?
24.                         What is the position of 3 in 13?
25.                         Which of the following numbers is greater
1 and 5, (b) 3 and 4, (c) 7 and 9, (d) 6 and 9
26.                        Which of the following numbers is lesser?
(a)  0 and 4, (b) 5 and 8, (c) 4 and 2, (d) 6 and 9
Please if you are lost, check back in the lesson but if we are together and you are confident, lay you are confident, lay your hand on the next lesson.

                                                        Please check your answers in the next section
Section 43
                                                    




Page 11


ANSWERS TO EXERCISES ON SECTION 42
1.     Natural numbers
2.     Whole numbers
3.     Zero (0)
4.     Positive integers, positive rational integers and counting numbers.
5.     Single digit numbers
6.     0 to 9
7.     Units numbers
8.     Yes
9.     Double digit numbers
10.                         10 to 99
11.                         Tens and Unit
12.                         4 = tens and 5 = Unit
13.                         Triple digits numbers
14.                         100 to 999
15.                         Hundred, Tens and Unit
16.                         3 = Hundred, 2 = Tens and 1 = Unit
17.                         Quadruple digits numbers
18.                         Thousand, Hundred, Tens and Unit
19.                         1000 to 9999
20.                         1 = Thousand, 5 = Hundred, 7 = Tens and 6 = Unit
21.                         Hundred
22.                         Tens
23.                         Thousand
24.                         Units
25.                         (a) 5 is greater than 1 (b) 4 is greater than 3 (c) 9 is greater than 7 (d) 8 is greater than 6
26.                         (a) 0 is less than 4 (b) 5 is less than 8 (c) 2 is lesser than 4 (d) 6 is lesser than 9.

Please accept my congratulation for completing this lesson.

THE HIERARCHY OF NUMBERS
1.     TEN                               10                                                      (1 ZERO)
2.     HUNDRED                             100                                                    (2 ZERO)
3.     THOUSAND                 1000                                                  (3 ZERO)
4.     MILLION                       1,000,000                                          (6 ZERO)
5.     BILLION                       1,000,000,000                                   (9 ZERO)
6.     TRILLION                     1,000,000,000,000                                     (12 ZERO)
7.     QUADRILLION            1,000,000,000,000,000                     (15 ZERO)
8.     QUINTILLION              1,000,000,000,000,000,000              (18 ZERO)
9.     SEXTILLION                1,000,000,000,000,000,000,000                (21 ZERO)
10.                         SEPTILLION                1,000,000,000,000,000,000,000,000         (24 ZERO)

Page 12


11.                         OCTILLION                 (27 ZERO)
12.                         NONILLION                 (30 ZERO)
13.                         DECILLION                 (33 ZERO)
14.                         UNDECILLION            (36 ZERO)
15.                         DUODECILLION         (39 ZERO)
16.                         TREDECILLION                   (39 ZERO)
17.                         QUATOUR DECILLION (42 ZERO)
18.                         QUINDECILLION        (45 ZERO)
19.                         SEXDECILLION                   (48 ZERO)
20.                         SEPTENDECILLION   (51 ZERO)
21.                         OCTODECILLION       (57 ZERO)
22.                         NOVENDECILLION    (60 ZERO)
23.                         VIGINTILLION            (63 ZERO)
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