KV SAINIK VIHAR
STUDY MATERIAL
CLASS 5
MATHS
THE NUMBERS
CLASS 5
STUDY MATERIAL
MATHS
THE NUMBERS
Place Values
Q 1 Expanded form
67,89,053 = 60,00,000 + 7,00, 000 + 80,000 + 9,000 + 0 + 50 + 3.
43,56,684 = ________________________________________________
65,421
= _______________________________________________
3,56,049
= _______________________________________________
Q 3 Math riddle.
a) I am a 5 digit number less than 30 000. The digit in each place is 1 greater than
the digit on its left. The sum of my digits is 20.
I am _______________________________________________
b) I am a three digit number. My tens digit is five more than my ones digit. My
hundreds
digit
is
eight
less
than
my
tens
digit.
What number am I?
I am _______________________________________________
What is a million?
It is a very big number.
10 x 10 = 100.
10 x 100 = 1000.
100 x 100 = 10000.
100 x 1000 = 100000.
Ten 10s make a hundred
Ten 100s make a thousand
Hundred 100s make ten thousand
Hundred 1000s make a lakh
But the word ‘lakh’ is not used in European and American Countries. When
someone wins a One-lakh lottery, people in these countries would say, “I won
hundred thousand!”
1000 x 1000 = 1000000.
Thousand 1000s make a million.
In India, we say 10 lakhs instead of one million.
Ten lakhs!! = One million!!
One lakh!! = One hundred thousand!!
100 x 100000 = 10000000
Hundred lakhs is called one crore in India.
1000 x 1000000 = 1000000000
In America, 1000 millions are called a billion.
1000 x 1000 x 1000000 = 1000000000000
And a billion is a thousand million in all countries except the United States of
America.
Surprisingly, scientists, whether in India or America mean
1000 million when they say billion.
one crore!! = ten million!!
One hundred Crore!!=One thousand million!!
One billion!! = One billion!!
Indian place values
International Place Values
Ones
Ones
Tens
Tens
Hundreds
Hundreds
Thousands
Thousands
Ten Thousands
Ten Thousands
Lakhs
Hundred Thousands
Ten Lakhs
Millions
Crores
Ten Millions
Ten Crores
Hundred Millions
Billions
Hundred Billions
Write the number names according to international place value system
341097645_________________________________________________
__________________________________________________________
409 876 211 _______________________________________________
__________________________________________________________
Write the place and place value of the underlined digit according to international
place value system
Number
Place
Place Value
876 543 908
675 004 321
905 213 984
889 210 784
871 000 234
207 983 111
963 852 741
Why Do We Need Big Numbers?
When someone asks you how far your school is from your house you may say,
“Very far”. To a stranger asking for directions to the school, you would probably
say, “Five kilometers, Sir.” The Sun is 300,000 times heavier than the Earth. To
write the mass of the Sun in tonnes you need to write 2 followed by 27 zeroes.
Numbers help us to understand the world around us better.
Name 5 cars and write their cost
1 ____________________________
2 ____________________________
3 ____________________________
4 ____________________________
5 ____________________________
Name 5 things where we use large numbers
________________
________________
________________
________________
________________
Q 2 Places
TL L
TTh TH H
T
0
6
0
0
0
0
0
0
5
0
0
0
0
0
8
0
0
0
0
4
0
0
0
3
0
0
9
0
TTh TH H
TL L
5 0
9
0
0
3
0
0
0
0
0
0
0
0
7
1
The number is _______________
T
0
0
0
0
0
1
_______________
Q 4 Indian Place Value Table
C
R
O
R
E
S
67,87,321
1,98,50,173
45,67,005
783
5,672
89
1,58,73,642
T
E
N
L
A
K
H
S
L
A
K
H
S
6
7
T
E
N
T
H
O
U
S
A
N
D
S
8
T
H
O
U
S
A
N
D
S
H
U
N
D
E
R
D
S
T
E
N
S
O
N
E
S
7
3
2
1
Q 5 Write the place value of underlined digits
234567921 ________________
87309458 _________________
3015876 ___________________ 6384570195 ___________________
0
0
0
0
0
0
0
2
Q 6 Write the number name of the following
Three lakh forty five thousand two hundred twenty one _____________
One crore eighty one lakh forty thousand seven hundred two_________
Five thousand Nine hundred ninety eight __________________
Fill in the blanks and match
Q 7 Write the numbers with digits 4, 7, 2, 0, 3, 1
201374
_______________
_____________
_____________ ______________
______________
_____________ ______________
____________ _________
____________________
Largest number
_________________
Smallest number
_________________
Write the numbers
Twenty two thousand four hundred thirty five ______________
Two lakhs forty five thousand three
______________
Fifty three lakhs ninety one thousand seven hundred two ___________
What comes after (Successor)?
4569 ___________
89000
__________
894320
___________
78999
__________
99999
___________
76543
__________
What comes before (Predecessor)?
89999
___________
167430
___________
785609
___________
100000
890324
7809990
___________
___________
___________
Write in increasing order
435278, 906721, 4532, 9087612, 654876, 9999999
NUMBERS
There are 99 99 999 trees in a state. A small child planted one more tree. So the
total number of trees are
9999999
+
1
-------------------10000000
WOW the successor of largest 7 digit number is smallest 8 digit number.
THE FOUR OPERATIONS
Fill in the blanks with the symbols
+
x
÷
a) In a school there are 67453 boys and 56934 girls,
Then to find the total number of students
67453 ______ 56934.
To find the how many more boys are there
67453 ______ 56934.
b) Rashid has 9 bats; Cost of each bat is 745.
Then to find the total cost 745 _______ 9.
c) In a farm there are 24 rows of trees. If the total number of trees is 480
then to find the total number of rows 480 _______ 24
Properties of additions
a) A number can be added in any order.
675 + 345= 345 + 675
b) When 1 is added to any number the sum is the successor
999 + 1= 1000
c) When 0 is added to any number the number remains the same.
67342+0 = 67342
Properties of subtraction
a) When 1 is subtracted from any number the result is the predecessor
7865 – 1 = 7864
b) ) When 0 is subtracted from any number the number remains the same.
67342-0 = 67342
TWO MINUTE ACTIVITY
Directions
Q 9 Name the four direction
____________
____________
____________
____________
Q 10 Fill in the blanks:
1. The sun rises in the _____________.(North/East/West/South)
2. The sun sets in the ______________. (North/East/West/South)
3. Himalayas are on the ______________ direction if
INDIA.(North/East/West/South)
4. The Indian Ocean is on the ______________ direction of
INDIA.(North/East/West/South)
5. Compass is used to see _______________.( directions/ way)