Vikash Group of CBSE Schools

CLASS – V - MATH - (QUESTIONS ANSWER)

CH-2- LARGE NUMBERS

Get Started

A) Write the following numbers in words.

1) 4 3 7 5 2 0 Arrange the number in Indian place value system

L Tth Th H T O
4 3 7 5 2 0
In words: Four lakh thirty-seven thousand five hundred twenty

2) 6 0 0 8 1 1 Arrange the number in Indian place value system

L Tth Th H T O
6 0 0 8 1 1
In words: Six lakh eight hundred eleven

3) 8 1 7 0 3 6 Arrange the number in Indian place value system

L Tth Th H T O
8 1 7 0 3 6
In words: Eight lakh seventeen thousand thirty six

B) Write the numbers. Mark the periods with commas.

1) six lakh forty thousand two hundred fifteen

L Tth Th H T O
6 4 0 2 1 5 Number is:6,40,215
2) one lakh ninety-three thousand eight hundred fifty six
L Tth Th H T O
1 9 3 8 5 6 Number is : 1,93,856
3) seven lakh one hundred
L Tth Th H T O
7 0 0 1 0 0 Number is: 7,00,100
4) five lakh eighteen thousand sixty
L Tth Th H T O
5 1 8 0 6 0 Number is: 5,18,060

5) Twelve crore twelve lakh two thousand four hundred three

Number is 12,12,02,403

C) Make the smallest six-digit number using the given digits without
repeating any of the digits.

1) Digits are :4,5,0,1,7,9 0<1<4<5<7<9

since a number can not be started with 0,
the smallest 6 digit number will be:1,04,579

2)Digits are: 8,9,4,5,6,7 4<5<6<7<8<9

The smallest 6 digit number will be: 4,56,789

3) Digits are : 2,1,0,0,8,5

The smallest 6 digit number will be 1,00,258

4) Digits are : 3,2,8,9,1,6

The smallest 6 digit number will be 1,23,689

D)How many

1) hundreds make a lakh?

Sollution: Divide 1 lakh by 1 hundred

1,00,000 ÷100=1000
So 1000 hundreds make a lakh.
2) How many thousands make a lakh?
1,00,000 ÷ 1,000= 100
So,100 thousands make a lakh.
3) How many hundreds make a thousand?
1,000÷100= 10
So,10 hundreds make a thousand
4) How many tens make a thousand?
1,000 ÷10= 100
So,100 tens make a thousand.

Exercise 2.1

A) Write the numbers in words.

1) 8895790 -- put commas according to the Indian place value system.
88,95,790
In words- Eighty eight lakh ninety five thousand seven hundred ninety

2) 94568341- 9,45,68,341 - Nine crore forty-five lakh sixty eight thousand

three hundred forty one
528310 -- 5,28,310 -- Five lakh twenty eight thousand three hundred ten

4) 3 4 6 6 4 3 3 4 0 - 34,66,43,340 -- Thirty-four crore sixty-six lakh forty-

three thousand three hundred forty

5) 3 4 8 1 2 1 1 5 - 3,48,12,115 - Three crore forty eight lakh twelve

thousand one hundred fifteen

6) 4 2 7 9 1 0 9 0 0 - 4 2, 7 9, 1 0 ,9 0 0 - Forty two crore seventy nine lakh ten

thousand nine hundred

B. Write the numbers. Mark the periods with commas

1) seven lakh twenty two thousand one hundred forty two-

L Tth Th H T O
7 2 2 1 4 2
Ans: 7,22,142
2) thirty one lakh five thousand two hundred thirteen -- 31,05,213

3) five crore twelve lakh sixteen thousand seven hundred five -- 5,12,16,705

4) sixty eight thousand nine hundred eighty six-- 68,986

5) twelve crore twelve lakh two thousand four hundred three-12,12,02,403

C. Write the numbers in the Indian place value chart
1) eighteen lakh five hundred
2) one crore four lakh fifty eight thousand
3) six crore six lakh
4) twenty-one crore four lakh eight thousand one

5) ninety-nine crore fifty eight lakh three thousand eleven

6) Eighty-four crore ninety-three lakh seventy four thousand fifty -four

Ten Crore Ten Lakh Ten Thousand Hundred Ten One

Crore s Lakh s Thousand s s s s
s s s

1 8 0 0 5 0 0

1 0 4 5 8 0 0 0

6 0 6 0 0 0 0 0

2 1 0 4 0 8 0 0 1

9 9 5 8 0 3 0 1 1

8 4 9 3 7 4 0 5 4

D. Mark periods with commas according to the Indian place value system.Also
write the number names.

1) 6016243 - 60,16,243
Number name : Sixty lakh sixteen thousand two hundred forty three
2) 795008740 - 79,50,08,740 -
Number name: seventy nine crore fifty lakh eight thousand seven hundred
forty
3) 72300418 - 7,22,00,418
Number name- seven crore twenty two lakh four hundred eighteen
4) 14010790 -1,40,10,790
Number name:One crore forty lakh ten thousand seven hundred ninety

5) 9 0 4 0 0 1 1 2 0 - 9 0 ,4 0, 0 1, 1 2 0
Ninety crore forty lakh one thousand one hundred twenty

6) 5 7 8 1 5 0 0 - 5 7, 8 1, 5 0 0

Fifty seven lakh eighty one thousand five hundred

E. Write the place value of each coloured digit.

1) 7 4 , 0 2,6 1 5 -- TL L Tth Th H T O
7 4 0 2 6 1 5
6 is in hundreds place. So place value of 6 = 6 X100= 600
2) 1 4 , 0 1,079
place value of 1= 1 X 10,00,000=10,00,000
3) 15,78,23,511
Place value of 1 is 1 since it is in ones place
4) 26,09,12,519 - place value of 0 is 0 X 10,00,000=0
5) 29,15,352 -place value of 5 is 5 X 1,000=5,000

6) 7 4, 7 3, 8 9 2 - place value of 7 is 70,000

7) 4, 0 0, 0 0, 0 4 0 - Place value of 4 is 40

8) 1 3, 0 5, 5 2, 6 1 1- place value of 3 is 3,00,00,000

9) 8 9, 5 6, 7 8, 8 7 6- place value of 6 is 6,00,000

Exercise 2.2

A) Write the expanded form of each.

1) 31,24,056
TL L Tth Th H T O
3 1 2 4 0 5 6
Expanded form =3 X 10,00,000 + 1 X 1,00,000+ 2 X 10,000+
4 X1,000+ 0 X 100 + 5 X 10 + 6 X 1
= 30,00,000+ 1,00,000+ 20,000+ 4,000+ 50+6
2) 1,21,75,211
Expanded form = 1,00,00,000 + 20,00,000 + 1,00,000 +
70,000 + 5,000 + 200 + 10 + 1
3) 14,70,20,000
TC C TL L Tth Th H T O
 1 4 7 0 2 0 0 0 0
10,00,00,000 + 4,00,00,000 + 70,00,000 + 20,000

4) 93,08,489
Expanded form = 90 ,00,000 + 3,00,000 + 8,000 + 400 + 80 + 9
5) 6,17,38,126
Expanded form = 6,00,00,000 + 10,00,000 + 7,00,000 + 30,000 + 8,000 + 100 +
20 + 6
6) 12,12,012
Expanded from= 10,00,000 + 2,00,000 + 10,000 + 2,000 + 10 + 2
7) 26,59,31,840
TC C TL L Tth Th H T O
2 6 5 9 3 1 8 4 0
Expanded form - 20,00,00,000 + 6,00,00,000 + 50,00,00,000 +
9,00,000 + 30,000 + 1,000 + 800 + 40

B) Write the standard form of each.

1) 5,00,000 + 2000 + 600 + 10 +1
L TTh Th H T O
5 0 2 6 1 1 Ans- 5,02,611
2) 7 crore + 4 ten lakh + 5 thousand + 2 hundred + 7 ten

C TL L Tth Th H T O
7 4 0 0 5 2 7 0 Ans-7,40,05,270
3) 8,00,00,000 + 60,00,000 + 70,000 + 5,000 + 2
C TL L Tth Th H T O
8 6 0 7 5 0 0 0 Ans - 8,60,75,000

4) 9,00,00,000 + 7000 + 7 =9,00,07,007

5) 5 lakhs + 4 ten thousands + 9 ones= 5,40,009
6) 6 ten lakhs + 1 lakh + 5 ten thousands + 3 thousands= 61,53,000
7) 8 crore+ 2 ten thousands + 1 thousand + 4 hundred + 7 ones = 8,00,21,407

8) 12 crore + 4 ten lakh + 1 ten thousand + 6 ones = 12,40,10,006

9) 60,00,00,000 + 20 + 8 = 60,00,00,028

10) 40,00,00,000 + 70,000 + 30 + 5 = 40,00,70,035

C) Write the predecessor of each number

1) 14,32,121
To get the predecessor,we have to subtract 1 from the number.
14,32,121 -- 1= 14,32,120

So, predecessor of 14,32,121 is 14,32,120

Number predecessor
2)69,05,070 69,05,070 -- 1 = 69,05,069
3)1,00,00,000 1,00,00,000 -- 1 = 99,99,999
4) 25,00,05,000 25,00,05,000 -- 1 = 25,00,04,999
5) 9,52,34,123 9,52,34,123. -- 1 = 9,52,34,122

D) Write the successor of each number

To get successor of a number,we have to add 1 with that number.
1) 42,37,198 + 1= 42,37,199
So,the successor of 42,37,198 is 42,37,199
Number Successor
2) 38,10,309 38,10,309+1 = 38,10,310
3) 5,29,79,499 5,29,79,499 +1 = 5,29,79,500
4) 9,99,99,998 9,99,99,998 +1 = 9,99,99,999
5) 17,00,22,111 17,00,22,111 +1 = 17,00,22,112

E) Compare each pair of numbers.Put > , < or = in the blanks

Numbers having more number of digits is the greater number

1) 9,65,43,219 > 96,89,219
For same number of digits,compare from the left most digit of both the
numbers. Stop when you get different digit and compare
2) 1,43,72,000 < 1,45,72,000
3rd digit of first number and 2nd number from the left end are 3 and 5
respectively. 5 is greater than 3
Try these
3) 8,37,54,168 ________ 8,37,45,168
4) 32,00,12,000 ________ 32,01,00,000
5) 67,10,23,908 ________ 67,10,23,980
6) 897,650,880 ________ 897,650,880
Check your answer

3) 8,37,54,168 > 8,37,45,168

4) 32,00,12,000 < 32,01,00,000
5) 67,10,23,908 < 67,10,23,980
6) 897,650,880 = 897,650,880
F) Arrange in ascending order
Ascending order means- arranging numbers from the smallest to the biggest.
1) 5,38,97,390 3,07,45,678 18,76,01,234 2,33,456
Smallest is 2,33,456 since it has 6 digits
Compare : 3,07,45,678 < 5,38,97,390
8 digits 8 digits
2nd number in ascending order will be 3,07,45,678
3rd number in ascending order will be 5,38,97,390
4th number in ascending order will be 18,76,01,235
Ans: 2,33,456 < 3,07,45,678 < 5,38,97,390 < 18,76,01,235
Try these
2) 15,88,01,914 1,17,23,273 12,60,23,729 3,11,30,111
3) 2,30,71,300 13,78,40,718 8,06,21,402 1,12,30,324

Check your answer

2) 15,88,01,914 1,17,23,273 12,60,23,729 3,11,30,111
Compare: 1,17,23,273 < 3,11,30,111
8 digits 8 digits
Compare: 12,60,23,729 < 15,88,01,914
9 digits 9 digits
Ascending order -
1,17,23,273< 3,11,30,111 < 12,60,23,729 < 15,88,01,914
3) 2,30,71,300 13,78,40,718 8,06,21,402 1,12,30,324
Ascending order -
1,12,30,324 < 2,30,71,300 < 8,06,21,402 < 13,78,40,718

G) Arrange the following in descending order

Descending order means: Arranging the numbers from the greatest to the
smallest.
1) 3,81,23,139 2,17,50,126 18,16,11,304 12,33,456
18,16,11,304 will be the greatest number since it has 9 digits
3,81,23,139 > 2,17,50,126
8 digits 8 digits
The smallest is 12,33,456
Ans:18,16,11,304 > 3,81,23,139 > 2,17,50,126 > 12,33,456
Try these
2) 10,08,12,413 4,12,22,513 13,10,20,212 4,10,20,191
3) 3,10,51,120 6,28,14,108 10,26,11,240 2,10,20,134

Check your answer

2) 10,08,12,413 4,12,22,513 13,10,20,212 4,10,20,191
Compare: 13,10,20,212 > 10,08,12,413
9 digits 9 digits
Compare: 4,12,22,513 > 4,10,20,191
8 digits 8 digits
Descending order:
13,10,20,212 > 10,08,12,413 >4,12,22,513>4,10,20,191

3) 3,10,51,120 6,28,14,108 10,26,11,240 2,10,20,134

Descending order:
10,26,11,240 > 6,28,14,108 > 3,10,51,120 > 2,10,20,134

H) Make the smallest and the greatest numbers using the given digits.Do not
repeat any digits;use all digits

1) 1, 8, 3, 0, 2, 7, 5 To get the greatest number arrange the digits in

descending order -- 8>7>5>3>2>1>0
Greatest number will be 87,53,210
To get the smallest number arrange the digits in ascending order - 0 < 1 < 2 <
3<5<7<8
As a number can't start with 0
The Smallest number will be 10,23,578
2) 0,4,6,7,8,1,5,2
Greatest-8,76,54,210 Smallest- 1,02,45,678
3) 5,1,9,3,8,2,4,6,7
Greatest- 98,76,54,321 Smallest- 12,34,56,789
4) 2,1,9,3,0,4,5,7,8
Greatest- 98,75,43,210 Smallest - 10,23,45,789
 Exercise-2.3
A) Write the numbers in the International place value system.Mark the
periods with commas

International place value system

Periods Millions Thousands Ones
Place value HM TM M , HT Tth Th , HTO

1) seven million two hundred forty six thousand one hundred thirty-seven
M Hth Tth Th H T O
7 2 4 6 1 3 7 Ans- 7,246,137
2) Five hundred eighty six thousand five hundred fifteen
HM TM M Hth Tth Th H T O
5 0 0 0 8 6 5 1 5 Ans- 500,086,515
Try these
3) twelve million seventy one thousand four hundred
4) six hundred million six hundred thousand twelve
5) two million twelve thousand six hundred eleven
6) four million six hundred forty thousand
7) nineteen million
8) two hundred seventy two million nine thousand eight hundred ninety nine

Check your answer

3) twelve million seventy one thousand four hundred -

12,071,400
4) six hundred million six hundred thousand twelve -
600,600,012
5) two million twelve thousand six hundred eleven
2,012,611
6) four million six hundred forty thousand
4,640,000
7) nineteen million-19,000,000
8) two hundred seventy two million nine thousand eight hundred ninety nine
- 272,009,899
B) Mark the periods with commas in the international place value
system.Also write the number names

1) 47012615 - TM M HTh Tth Th H T O

4 7 0 1 2 6 1 5
Ans: 47,012,615 - forty seven million twelve thousand six hundred fifteen
M HTh Tth Th H T O
2) 1500273 1 5 0 0 2 7 3
Ans: 1,500,273 - one million five hundred thousand two hundred seventy
three
TM M HTh Tth Th H T O
3) 21860611 2 1 8 6 0 6 1 1
Ans: 21,860,611 - twenty one million eighty hundred
sixty thousand six hundred eleven

4) 5980050 - 5,980,050 - Five million nine hundred eighty thousand fifty

5) 238000197- 238,000,197- Two hundred thirty million one hundred ninety

seven

6) 20020020 - 20,020,020 - Twenty million twenty thousand twenty

C) In the number 12783425, write the digit that is in the:
1) hundred place ______ ans-4
2) hundred thousands place _____ans-7
3) ten thousands place _______ ans- 8
4) ten millions place _______ ans- 2

D) Write the numbers

1) seven hundred million seven hundred seven

HM TM M HTh TTh Th H T O
7 0 0 0 0 0 7 0 7
Ans: 700,000,707
2) 400,000,000 + 8,000,000 + 10 + 2 =
408,000,012
3) 600,000,000 + 5,900,000 + 10,000 + 600 + 40 = 605,910,640
 Exercise -2.4
A) Mark the periods with commas according to the both Indian and
International place value systems. Write the numbers in words in each
system.

1) 236535 Indian place value system:

TL L TTh Th H T O
2 3 6 5 3 5 8
Ans: 23,65,358
In words -twenty three lakh sixty five thousand three hundred fifty eight
International place value system
M HTh TTh Th H T O
2 3 6 5 3 5 8
Ans: 2,365,358
In words: Two million three hundred sixty five thousand three hundred fifty
eight
Try these
2) 34282627 3) 87013569 4) 790150028 5) 981552101

Check your answer

2) 34282627
Indian system - 3,42,82,627
In words - three crore forty two lakh eighty two thousand six hundred twenty
seven
International system -34,282,627
Thirty four million two hundred eighty two thousand six hundred twenty
seven
3) 87013569
Indian system - 8,70,13,569 - eight crore seventy lakh thirteen thousand five
hundred sixty nine
International system -87,013,569 - eighty seven million thirteen thousand five
hundred sixty nine
4) 790150028
Indian system - 79,01,50,028
Seventy nine crore one lakh fifty thousand twenty eight
International system - 790,150,028 - seven hundred ninety million one
hundred fifty thousand twenty eight
5) 981552101
Indian system - 98,15,52,101 - ninety eight crore fifteen lakh fifty two
thousand one hundred one
International system - 981,552,101- nine hundred eighty one million five
hundred fifty two thousand One hundred one

6) 199160001

Indian system - 19,91,60,001- Nineteen crore ninety one lakh Sixty thousand
one

B) Compare each pair of numbers. Put >,< or = in the blanks

1) 3,542,478 35,42,748
7 digits 7 digits
compare each digit from left end of both numbers.5th digit of first and second
numbers are 4 and 7 respectively. 4 < 7
So,3,542,478 < 35,42,748
2) 4,35,69,385 > 43,560,381
8 digits 8 digits
3) 254,274,369 > 25,42,73,469
9 digits 9 digits
4) 18,35,93,261 < 183,593,099

C) Express the following number names in the International place value

system

1) fifteen lakh ten thousand three hundred fourteen

1510314
International system - 1,510,314 - one million five hundred ten thousand
three hundred fourteen
2) ten crore seventy lakh ninety thousand four hundred sixty two
107090462
International system -107,090,462 - one hundred seven million ninety
thousand four hundred sixty two
3) eight crore ten lakh forty thousand two hundred thirteen
81040213
International system -81,040,213 -eighty one million forty thousand two
hundred thirteen
4) three lakh ten thousand one hundred fifty three -
310,153 - Three hundred ten million one hundred fifty three

D) Express the following number names in the Indian place value chart.

1) three hundred fifty million two hundred forty six thousand two hundred
eight
350,246,208
Indian place value system -35,02,46,208 - thirty five crore two lakh forty six
thousand two hundred eight
2) twelve million four hundred fifty three thousand two hundred thirty three
12,453,233
Indian place value system -1,24,53,233 - one crore twenty four lakh fifty three
thousand two hundred thirty three
3) twenty million two thousand sixty
20,002,060
Indian place value system -2,00,02,060 - two crore two thousand sixty

4) one hundred million fifty three thousand nine hundred thirteen -

100,053,913

Indian place value system - 10,00,53,913 - Ten crore fifty three thousand nine
hundred thirteen.