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 studentaverage, 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, stressfree and
interesting. It is like having a personal or oneonone 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

Differentiate between (a) 1,2,3,4,5,and (b) 0,1,2,3,4,5
Check
your answer in the next section

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

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

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

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

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

If the number 9 stands for 9 units, what does the number 4
stand for?
Check
your answer in the next section

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

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

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.

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

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

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

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

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

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

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

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

So in 859, 8 = First
digit = Hundreds
5 =
Second digit = Tens
9 =
Third digit = Unit
Show the first, second and third digits in 401.

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

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

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

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

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

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

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

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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