DELHI UBLIC SCHOOL RUBY PARK

SESSION: 2022 - 23

SUBJECT: Mathematics

CLASS –5

TOPIC - Large Numbers

Indian Number System–

 Let us check the place value chart for the first nine digits in the Indian Number System of
numeration:
Periods Crores Lakhs Thousands Ones
Places Ten Ten
Ten Crores Crores Lakhs Lakhs Thousands Thousands Hundreds Tens Ones
TC C TL L TTh Th H T O
Numbers 10,00,00,000 1,00,00,000 10,00,000 1,00,000 10,000 1,000 100 10 1

 Eg:- Place value chart for the number 22,50,35,971 to explain what the number means –
Crores Lakhs Thousands Ones
Ten Crores Ten Lakhs Ten Thousands Hundreds Tens Ones
Crores Lakhs Thousands

2 2 5 0 3 5 9 7 1

 The different way in which the number 22,50,35,971 can be written are:
Standard Form / 22,50,35,971 Or 22 50 35 971
Short Form
Expanded Form 2  100000000  2  10000000  5  1000000  0  100000  3 10000 
5  1000  9 100  7  10  1 1

Word Form Twenty two crore fifty lakh thirty five thousand nine hundred seventy
one.

 Successor – The number which comes immediately after a particular number is called its
successor. Successor of a given number = Given number +1
Eg: Successor of 1,45,29,899 = 1,45,29,899 +1= 1,45,29,900
 Predecessor – The number which comes just before a particular number is called its
predecessor. Predecessor of a given number = Given number – 1
Eg: Predecessor of 7,50,25,400 = 7,50,25,400 – 1 = 7,50,25,399
 Skip Counting –To skip count we add a particular number over and over.
Eg: Counting by tens, the numbers from 54,855 to 54,905 are 54,855; 54,865; 54,875; 54,885;
54,895; 54,905.
International Number System –

 Let us check the place value chart in the International Number System:
Millions Thousands Ones
Hundred Ten Hundred Ten
Millions Millions Millions Thousand Thousand Thousand Hundred Ten One
HM TM M s s s s s s
HTh TTh Th H T O
100,000,00 10,000,00 1,000,00 100,000 10,000 1,000 100 10 1
0 0 0

 Eg:- Place value chart for the number 225,035,971 to explain what the number means –
Millions Thousands Ones
Hundred Ten Hundred Ten
Millions Millions Millions Thousands Thousands Thousands Hundreds Tens Ones
HM TM M HTh TTh Th H T O
2 2 5 0 3 5 9 7 1

 The different way in which the number 225,035,971 can be written are:
Standard Form 225,035,971 Or 225 035 971
/ Short Form
Word Form Two hundred twenty-five million thirty-five thousand nine hundred
seventy-one
 Rules of Comparing and ordering large numbers –
To compare numbers with:
a) unequal number of digits, the number having more digits is greater than the number
having fewer digits
b) equal number of digits, start from the left and compare the digits until they differ.

Eg: In five villages A, B, C, D and E, the number of voters casted their votes are 32448,

380098, 320098, 20032 and 32004 respectively. Arrange the villages in ascending order of

the number of voters.

Ans: The number of voters who casted their votes in the villages A, B, C, D and E are 32448,

380098, 320098, 20032 and 32004 respectively.

20032 < 32004 < 32448 < 320098 < 380098

D<E<A<C<B

Practice Work:-

(To be done as per the instructions given during the online classes by the Teacher)

Level 1: (To be done in book)

1. JM Book Pg 18 Ex 3B – Q5, 6, 7

2. LCM Book Pg 15 Quick Assessment – Q1, 2, 3, 4, 5

1. Choose the correct options:

a) The period of 9 in 6302952 is

(i) Thousands (ii) Tens (iii) Ones (iv) Hundreds

b) Four hundred fifty five million twenty six thousand four =

(i) 455,260,004 (ii) 455,026,004 (iii) 4,55,026,440 (iv) 45,526,004

c) 9000000 + 50000 + 6000 + 50 + 1 =

(i) 9506501 (ii) 9050651 (iii) 9056051 (iv) 90506051

d) Smallest 6-digit number formed by the digits 9, 0, 5 and 2 is

(i) 200059 (iii) 220059 (iii) 222059 (iv) 205999

e) The product of the Place value and face value of 6 in 2006023 is

(i) 360 (ii) 36000 (iii) 36 (iv) 3600

2. Write the number name of 110200459 according to Indian and International System of Numeration.

3. Write the place value, face value and period of the underlined digits: 20098705.

4. Write the expanded form of 4005920.

5. Arrange the following numbers in descending order: 230974, 320947, 230097, 200974, 320008

6. Write the smallest and the largest numbers formed by the digits 4, 0, 3, 9, 1 and 5