Download chapter : 6 topic: division - GD Goenka Public School

G.D Goenka Public School,
Sec – 48 Gurgaon.
Class -3 Subject- Mathematics
MLP Notes (UT –II)
CHAPTER : 6 TOPIC: DIVISION
 Division means to distribute things equally among people.
 Division is mainly used to form groups of equal size.
Division also means repeated subtraction .
Eg. : Solve 12 ÷ 4 by repeated subtraction .
We will subtract 4 repeatedly from 12.
12
- 4
= 8
- 4
= 4
- 4
= 0
Here in 3 steps we’ve reached zero .So quotient is 3 .
Eg: If you have 12 toffees and you want to give equal toffees to 3 of your
friends. Each friend will get 4 toffees.
So , we say 12 ÷ 3 = 4.
Also see that 4 × 3 = 12.
3 ) 12 ( 4
- 12
= 0
Dividend =
Divisor
=
Quotient =
Remainder =
12
3
4
0
 Dividend means number of things to be distributed.
Rules of division :
1. Dividing by 1 : Any number on dividing by one will give quotient as the
same number. Eg. : 3÷ 1 = 3 and 4 ÷ 1 = 4 .
2. Dividing by itself : Any number on dividing by itself will give quotient
as 1. Eg. : 3÷ 3 = 1 and 4 ÷ 4 = 1.
3. Dividing zero by any number : If we divide zero by any number we
will get quotient as zero. Eg. : 0 ÷ 1 = 0 and 0 ÷ 9 = 0 .
Q1. Fill in the blanks :
a.
b.
c.
d.
12 ÷ 1 = ____
32 ÷ 32 = ____
4 ÷ 4 = _____
81 ÷9 = _____
e.
f.
g.
h.
0 ÷ 2 = ______
6 ÷ 6 = _______
12 ÷ 6 = _____
18 ÷ 3 = ______
Q2. Divide and find the quotient .Also, write the dividend, divisor, quotient
and remainder.
a. 21 ÷ 7 =
b. 36 ÷ 9 =
c. 45 ÷5 =
Divisor
Division of a 3- digit number:
7 ) 234 ( 033
- 21
024
-21
3
Q
Rem.
Important :
Step 1. In 234 , 2 is not bigger than 7 so we
put a zero in quotient .
Step 2: Then 2 digits are considered , now 7 x 3 is 21 so in quotient we write 3 .
Step 3: We now subtract 21 from 23 .
Step 4: The next digit in dividend 234 is brought down and we continue dividing
till all the digits of dividend are used.
Eg. Divide 234 by 7.
Q3 . Divide and find the quotient and remainder .
a. 123 ÷ 2
b. 476÷ 3
c. 123 ÷ 4
d. 894 ÷ 3
CHAPTER : 7 TOPIC: FRACTIONS
Introduction : Fraction shows equal parts of a thing.
Eg. :If there is an apple and it has to be shared by 5 people .
We will divide it into 5 EQUAL parts . And EACH person eats
1 part out of 5.
We say each person ate 1 of the apple.
5
 Here , the number written on top of line is called Numerator . It shows the
number of parts chosen and , the number written below the line is called
the Denominator. It shows the total number of parts.

Numerator of a fraction is read as a cardinal number and the denominator
as an ordinal number. (Except which is read as half)
Eg. :
is read as two-fifths, as three-eighths, as one-third.
TYPES OF FRACTIONS
Unit Fraction : A fraction with the numerator 1 is called a unit fraction.
Eg. : , ,
Proper Fraction : A fraction in which the numerator is smaller than the
denominator is called a proper fraction.
Eg. : , ,
Improper Fraction : A fraction in which the numerator is bigger than or
equal to the denominator is called an improper fraction.
Eg. : , ,
Like Fractions : Two or more fractions with the same denominators are
called like fractions.
Eg. : , ,
Unlike Fractions : Two or more fractions with different denominators are
called unlike fractions.
Eg. : , ,
 IF YOU HAVE TO ADD OR SUBTRACT FRACTIONS
Solution: Simply add or subtract the numerators.
a) 6 + 2 = 6 + 2 = 8
7
7
7
7
b) 8 - 2 = 8 - 6 = 2
9
9
9
9
Q 1. Write ‘+’ or ‘-‘ to fill in the blank .
i) 6
8
2 = 4
8
8
ii) 8
11
2 = 10
11 11
Q2 . Colour :
a) 1 of 6 triangles
2
b) 1 of 6 stars
3
Answer : a) Simply divide the given things into 2 equal parts and colour one of the
2 parts of them.
b) Simply divide the given things into 3 equal parts and colour 1 of the three
parts of them.
Q 3. Mita ate 2 of the cake and Rita ate 1 of the cake. How much cake is over?
8
8
Solution : Cake eaten by Mita = 2
8
Cake eaten by Rita = 1
8
Total cake eaten up = 2 + 1 = 3
So , 3 cake is over.
8
8
8
CHAPTER : 11 TOPIC: PATTERNS
Introduction : When shapes are repeated again and again, patterns are
created.
NUMBERS AND PATTERNS
 Patterns are found in numbers as well.
 When we add 2 odd numbers or 2 even numbers, the sum is always an
even number.
 When we add 1 odd and 1 even number, the sum is always an odd number
Odd + odd = Even
Even + Even = Even
Odd + Even = Odd
 Numbers arranged in a series follow a pattern.
Examples
10, 20, 30, 40, 50,…………..
5, 10, 15, 20, 25, ……………
1A, 2B, 3C, 4D, 5E, ………….
2, 4, 6, 8, 10, 12, …………….
When shapes are repeatedly combined, patterns are formed.
SYMMETRICAL FIGURES
Figures through which a line can be drawn, to divide them into two equal
halves, are called symmetrical figures.
A 2-D figure has line symmetry when it can be divided or folded so that the two
parts match exactly.
The fold line is called the line of symmetry. Any given line of symmetry divides a
figure into equal halves. It may also be said that each of the halves are mirror
images of each other.
Q1. Draw the other half of the following figures about the line of symmetry so
that they are symmetrical.
TILING PATTERNS
Beautiful patterns made of tiles of various shapes like square, rectangle,
triangle are called tiling patterns. Shapes of tiles fit, without leaving any gaps in
between and hence can cover the floors completely.
Q1. Colour the following tiles in different colours to make patterns.