E-LEARNING NOTEBOOK
Subject
: Maths
Level
: Secondary 1
Time Allocation : 120 minutes
Date Issued
: Tuesday, August 4th 2020
Lesson Preview
Lesson Topic
:
Objectives
:
Operation on Whole Numbers(Addition, Subtraction, Multiplication,
Division)- Operation on Decimal(Addition, Subtraction, Multiplication,
Division)
1. Students are able to recall of number facts of whole numbers,
complements to 100, multiplication facts to 10  10
2. Students are able to describe the addition and subtraction rule
on decimal
3. Students are able to describe the multiplication and division rule
on decimal
4. Students are able to use the test of divisibility
Prior Knowledge
Numbers are everywhere connected to everything we do. We use them to measure
years, months, weeks, days, hours, and seconds. We count them in dollars and cents. We
measure in feet, inches, meters and yards. The food we eat has a caloric number attached to it.
Application of number can be seen on

Time

Money

Weight

Score

Distance

Age

Etc.
Before we explore more about the whole number, decimal number and their operation,
let’s do the quiz!
Writedown your answer!
1. a. 13 + 6=
2. a. 67 + 53=
3. a. 57 + 31=
4. a. 2.8 + 27=
b. 5 + 14=
b. 76 – 34 =
b. 74 – 48=
b. 36 – 1.4 =
c. 3 + 17=
c. 34 + 56
c. 68 – 15
c. 2.5 + 23
d. 9 + 8=
d. 87 – 69 =
d. 35+35 =
d. 45 – 3.7 =
5.
a. 27.43 + 89.29=
b. 102. 11 – 37.28=
c. 100 – 57.57 =
d. 500 + 46.39 =
6.
a. 8  6 =
b. 9  7 =
c. 5  8 =
d. 4  3 =
7.
a. 16  4 =
b. 72  8 =
c. 18  3 =
d. 30  3 =
8.
a. 0.9  5=
b. 0.03  6 =
c. 0.04  5 =
d. 0.4  2=
9.
a. 3.74  2 =
b. 1.92  8 =
c. 0.66  0.33=
d. 0.36  0.9=
Now, you are ready to about whole number and decimals.
Knowledge
A.
What are Numbers?
We use the word ‘numbers’ to refer to numerical ‘digits’ or ‘numerals’. Digits are
unique symbols or characters (such as ‘0’, ‘1’, ‘3’ or ‘7’), that are used alone or in groups
(such as ‘37’ or ‘1073’) to identify a number. We use the term ‘numerals’ to refer to the
digits in a ‘numerical system’.
For example, you might have heard the term ‘Roman numerals’. The Roman system
is an ancient system that uses letters, such as I, V and X and is sometimes still used today.
However, the numerals that many of us are familiar with are from the base 10
system, also known as the ‘decimal’ system. These are the numerals 0 (zero) through to 9
(nine). We don’t usually refer to these as ‘numerals’ because it is the system that we use
most of the time. We simply call them ‘numbers’ or sometimes ‘digits’.
No matter which numerical system we use, numbers are a useful language for
counting, measuring and identifying. We use numbers in an unlimited range of ways: in
mathematical calculations, to make phone calls and to identify our bank accounts.
In mathematics, numbers are used to count, measure and calculate. In the decimal
system, we use 10 digits to represent numbers:
0 zero | 1 one | 2 two | 3 three | 4 four | 5 five | 6 six | 7 seven | 8 eight | 9 nine
Numbers that cannot be represented by a single digit are arranged in columns
called place values. The place values in the following examples are shown as labelled
boxes for each column. Usually we don’t have labelled columns to help us, so we have to
imagine them.
B.
Type of Numbers
The main types of numbers used in school mathematics are listed below:










C.
Natural Numbers (N), (also called positive integers, counting numbers, or natural
numbers); They are the numbers {1, 2, 3, 4, 5, …}.
Whole Numbers (W). This is the group of natural numbers, plus zero, i.e., {0, 1, 2, 3,
4, 5, …}.
Integers (Z). This is the group of all whole numbers plus all the negatives (or
opposites) of the natural numbers, i.e., {… , - 2, -1, 0, 1, 2, …}.
Prime Numbers. It is a number which has only two factors, 1 and itself. For example
: 2, 3, 5, 7, 11, ... .
Composite Numbers. It is a number which has more than two factors. For example:
4, 6, 8, 9, 10, ... .
Odd Numbers. A number which is not divisible by 2. It will give remainder when it is
devided by 2. For example: 3, 5, 7, 9, 11, ... .
Even Numbers. A number which is divisible by 2 without remainder. For example: 2,
4, 6, 10, 12, ... .
Rational numbers (Q). This is all the fractions where the top and bottom numbers
1 3 7
4 4
are integers; e.g., 2 , 4 , 2 , − 3 , 1. [Note: The denominator cannot be 0, but the
numerator can be].
Irrational Numbers. This is the number that can not be represented as a fraction.
Such as π, √2 etc. π can be represented with numerals, i.e., 3.14159265 ... ; however
the digits go on infinitely but there is no pattern to them.
Real numbers (R), (also called measuring numbers or measurement numbers). It is
combination of rational and irrational numbers. This includes all numbers that can
be written as a decimal. This includes fractions written in decimal form e.g., 0.5, 0.75
2.35, ⁻0.073, 0.3333, or 2.142857. It also includes all the irrational numbers such as
π, √2 etc. Every real number corresponds to a point on the number line.
Operation on Numbers
The mathematical “operation” refers to calculating a value using operands and a
math operator. Operands is the numbers used for an operation. Operator is the symbol
indicating a math operation for example:
+ for addition
− for subtraction
× for multiplication
÷ for division
= for equal to, indicates the equivalence, that is the left hand side value is equal to
the right hand side value.
Example Question
Calculate:
(a) 464 + 97
(b) 184 - 36
(c) 47 × 12
(d) 74  3
Answer:
(d)
D.
Whole Numbers
It is the group of natural numbers, plus zero, i.e., {0, 1, 2, 3, 4, 5, …}. In this session
you will do the review of addition and subtraction on your text book chapter 6 page 49
and use the complement method to find the difference between 100 and any whole
numbers on page 50. Please study and check the example given!
After that, please read about multiplication and division fact on chapter 13 page 106
– 109.
E.
Decimal Numbers
A decimal number can be defined as a number whose whole part and the fractional
part is separated by a decimal point. The dot in a decimal number is called a decimal
point. The digits following the decimal point show a value smaller than one. Here's an
example of a decimal number 17.48, in which 17 is the whole number, while 48 is the
decimal part.
We can do some operations on decimal number. In this session, we will focus on
addition and subtraction. You can read the material on your text book page chapter 6
page 51.
This is additional information about multiplication and division on decimal.

Multiplying Decimal:
To multiply decimal numbers:
1.
Multiply the numbers just as if they were whole numbers.
 Line up the numbers on the right - do not align the decimal points.
 Starting on the right, multiply each digit in the top number by each
digit in the bottom number, just as with whole numbers.
 Add the products.
2.
3.

Place the decimal point in the answer by starting at the right and
moving a number of places equal to the sum of the decimal places in
both numbers multiplied.
Example:
Dividing Decimal
To divide decimal numbers:
1.
If the divisor is not a whole number, move decimal point to right to make it a
whole number and move decimal point in dividend the same number of
places.
2.
Divide as usual. Keep dividing until the answer terminates or repeats.
3.
Put decimal point directly above decimal point in the dividend.
4.
5.
Check your answer. Multiply quotient by divisor. Does it equal the dividend?
For example:
Exercise
After you read the material from the notebook and text book, you can try the exercise to
apply what ypu have learnt. Please do the following exercise without calculator and
complete with the steps for the story word problem!
 Exercise 6.1B No. 1 Text Book page 50
 Exercise 6.2 No. 1, 2, 3, and 4 Text Book page 51 – 52
 Exercise 13.1 No. 1 part a,b, c, d; No. 2 part i, j, k, l; No. 3 part a, f, j ; and No 4 part
a, b, e.
Exit slips:
1.
Using your own word, explain how to do operation on whole number!
Answer:
2.
What is your strategy to make sure you follow the rule of addition and subtraction on
decimal numbers?
Answer:
3.
Is this material strengthening your knowledge about number operation? Explain!
Answer:
4.
In the next meeting, you will learn about Integers Numbers. Integers consists of whole
numbers and negative numbers. Are you excited to learn about it? Why?
Answer:
https://meet.google.com/grc-mfrx-phd