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NEW HORIZON PUBLIC SCHOOL

Class-4

Study Material

Periodic Assessment-1

Ch- Large Numbers

Ch-Addition

Indian System of Numeration

Place Value Chart

Periods LAKHS (L)

THOUSANDS (Th)

ONES (O)

Numbers Ten Lakhs (TL)

Lakhs (L)

Ten Thousands (TTh)

Thousands (Th)

Hundreds (H)

Tens (T)

Ones (O)

82675 8 2 6 7 5

398104 3 9 8 1 0 4

540327 5 4 0 3 2 7

1725945 1 7 2 5 9 4 5

Indian system of numeration has following periods:-

I-Period= Ones = ones, tens and hundreds.

II-Period = Thousands= Thousand and ten thousands.

III-Period= Lakhs = Lakhs and ten lakhs.

We insert commas to differentiae periods it helps to write the number name.

Qno. Insert the commas and write the number name according to

Indian system of Numeration.

(a) 82,675 = Eighty –two thousand six hundred seventy-five.

(b) 3, 98,104= Three Lakh ninety-eight thousand one hundred four.

(c) 5, 40,327= Five lakh forty thousand three hundred twenty-seven.

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(d) 17, 25,945= Seventeen lakh twenty-five thousand nine hundred

forty five.

Worksheet-1

Class-4

Q1. Write the number names for the following numbers. (One is done for you)

(a) 2, 74,527 = Two lakh Seventy-four thousand five hundred twenty-seven.

(b) 54,364 = ___________________________________________________

(c) 17,458= ____________________________________________________

(d) 89,563 = ___________________________________________________

(e) 28,300 =____________________________________________________

(f) 3, 45,251 = ___________________________________________________

Q2. Write the correct numbers for the following number names.(One is done

for you)

(a) Seventy thousand seven hundred fifty-nine = 70,759

(b) Eighty-two thousand five hundred forty-one = _________________

(c) Ten thousand three hundred = ______________________

(d) Fifty four thousand one hundred twenty-five = _______________

(e) Ninety nine thousand nine hundred seventy-seven= ________________

(f) Twenty thousand three hundred fifty-seven = __________________

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Q3. Write the number names in the Indian Number System.(some has done)

(a) 14,269 = Fourteen thousand two hundred sixty-nine.

(b) 4, 81, 167= Four Lakh eighty-one thousand one hundred sixty-seven.

(c) 29, 708 = _____________________________________________

(d) 38, 500 = _____________________________________________

(e) 2, 45, 125 = ___________________________________________

(f) 3, 15, 420 = ____________________________________________

Q4. Insert the commas as per Indian Number system and write their number

names.(some has done for you)

(a) 76209

Insert commas = 76,209

Number Name= Seventy-sixty thousand two hundred nine.

(b) 121375

Insert commas = 1, 21, 375

Number Name = One Lakh twenty one thousand three hundred seventy-five.

(c) 50249

Insert commas = ___________________

Number Name = _______________________________________

(d) 526953

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Insert commas = ___________________

Number Name = _________________________________________

(e) 78025

Insert commas = ___________________

Number Name = __________________________________________

(f) 258620

Insert commas = ___________________

Number Name = ___________________________________________

Place Value and Face Value

Face Value is the digit itself.

In 456 Face value of the 6 is 6, the face value of 5 is 5 and the face value of 4 is 4.

Place Value is the value of the digit according to its “place” or “position” in the

number!

Example :-

In 8, 62,743

L Tth TH H T O 8 6 2 7 4 3

Place Value Face Value

3 is at ones place 3 x 1=3 3 4 is at tens place 4 x 10 = 40 4

7 is at hundreds place 7 x 100 = 700 7 2is at thousand place 2 x 1000 = 2000 2

6 is at ten thousand place 6 x10,000 = 60,000 6

8 is at Lakh place 8 x 1,00,000 = 8,00,000 8

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Note: - The number that is at ones place their place value and face value will be always

same.

Expanded form: - The sum of the place values of its digits is called the expanded

form.

Example: - 68,872 = 60,000 + 8000 + 800 + 70+2

5, 49, 251 = 5, 00,000 + 40,000 + 9000 + 200 + 50 + 1

Standard form: - A number in its original form is called standard form of the

number.

Example:- 40,000 + 5000 + 300 + 20 + 3 = 45,323

60,000 + 4000 + 20 + 5 = 64,025

Q1. Write in the expanded form.

(a) 71,428 = 70,000 + 1000 + 400 + 20 + 8

(b) 63, 907 = _____________________________________________________

(c) 25, 325 = ______________________________________________________

(d) 42,308 = _______________________________________________________

(e) 4, 59, 122=_______________________________________________________

(f) 8, 20, 501 = ______________________________________________________

Q2. Write in the standard form.

(a) 50,000 + 2,000 + 600 + 40 + 9 = 52,649

(b) 70,000 + 8,000 + 700 + 60 + 7 = __________________

(c) 8, 00,000 +20,000 + 500 + 1 = ____________________

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(d) 4, 00,000 + 50,000 + 9,000 + 100 + 20 + 2 = _______________

(e) 60,000 + 4,000 + 20 + 5 = ________________________

(f) 5, 00,000 + 60,000 + 3,000 + 800 + 10 + 5 = ____________________

Q 3 Write the place value and the face value of the underlined digit.

Number Place Value Face Value

35, 963 9 x100 = 900 9

45,213

5, 23, 453

2, 10, 586

85, 476

Topic: Successor and Predecessor

Successor – It means you have to write the number that comes just

after the given number or you have to add 1 in the given number.

For example: - Write the successor of the given number.

(a) 45,339 = The successor of the number is 45,339+1= 45,340.

(b) 5, 10,528 = 5, 10,529

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Predecessor:- – It means you have to write the number that

comes just before the given number or you have to subtract 1 from

the given number.

For example: - Write the predecessor of the given number.

(a) 45,339 = The predecessor of the number is 45,339-1= 45,338

(b) 5, 10,528 = 5, 10,527

Q1. Write the successor of the following numbers.

(a) 54,639 = _________________

(b) 54, 474 = ________________

(c) 2, 64,748 = _______________

(d) 46,595= _________________

(e) 8, 66,689 = ________________

Q2. Write the predecessor of the following numbers.

(a) ________________= 54,729

(b) ________________= 25,660

(c) _________________= 18,350

(d) __________________= 8, 46,590

(e) __________________= 4, 26,839

(f) __________________= 43,638

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Q3. Complete the table:-

Predecessor Number Successor

6,00,118 6,00,119 6,00,120

98,399 98,401 2,76,029

69,999 70,000 70,001

50,001

45,299

Topic: Compare the number

Comparing means find out which number is greater, smaller or equal.

Q1. Compare the following numbers and fill in the blanks with > , < or

= sign.

(a) 12,459 < 12,489

It means 12,849 is greater than 12,459.

(b) 18,503 ______ 15,452

(b) 45,985 ______ 46, 112

(c) 35, 509 ______ 35,509

(d) 4, 96,345 ______ 4, 96,354

(e) 1, 53, 637 ______ 2, 52, 735

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Q2. Circle the Greatest number in the following.

(a) 91, 706 91,760 19, 760

(b) 76, 410 26, 410 72, 410

(c) 5,41, 325 5, 40, 605 5, 41,125

(d) 48, 001 47, 901 48,100

Topic: Ascending Order (smallest to the biggest)

Q1. Write the following numbers in the ascending order

(arrange the series from smallest to the biggest).(one is done

for you)

a) 47, 267 47,305 47, 167, 47, 467

47, 167 47, 267 47, 305 47, 467

b) 26, 776 86, 253 26, 778 53, 938

________________________________________________

c) 1, 43, 560 1, 43, 827 1, 43, 426 1, 43,822

________________________________________________

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d) 3, 52,167 2, 32, 539 4, 34, 252 3, 42,521

_______________________________________________

e) 48, 502 48,005, 48,205 48, 555

______________________________________________

f) 57, 827 4, 23, 125 2, 65, 995 1, 25, 935

g) 25,100 25, 001 26, 110 26,001

____________________________________________________

Topic: Descending Order (biggest to the smallest)

Q2. Write the following numbers in the descending order

(arrange the series from biggest to the smallest).(one is done

for you)

a) 47, 267 47,305 47, 167, 47, 467

47,467 47,305 47,267 47, 167

b) 26, 776 86, 253 26, 778 53, 938

________________________________________________

c) 1, 43, 560 1, 43, 827 1, 43, 426 1, 43,822

________________________________________________

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d) 3, 52,167 2, 32, 539 4, 34, 252 3, 42,521

_______________________________________________

e) 48, 502 48,005, 48,205 48, 555

______________________________________________

f) 57, 827 4, 23, 125 2, 65, 995 1, 25, 935

g) 25,100 25, 001 26, 110 26,001

____________________________________________________

Topic: Form the greatest and the smallest number

Q1. Form the greatest and the smallest numbers using the following digits.(One is done

for you)

Greatest Number Smallest Number

a) 5, 0 , 6, 3 , 8 = 86530 30568

b) 2, 9, 4, 1, 7 = ___________ ____________

c) 3, 8, 9,1,5,4 = ___________ ____________

d) 1, 9 , 6, 8, 0, 3 = ____________ ____________

e) 2, 9, 3, 6, 1, 5 = ____________ ____________

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Q2. Write the greatest and the smallest 6-digit number formed by using each of the given

digit the at least once. (One is done for you).

Greatest Number Smallest Number

a) 6 , 8 , 0 888860 600008

b) 2, 9 , 4 __________ _________

c) 7 , 2, 1 __________ __________

d) 0, 7, 5 ___________ __________

e) 5, 1, 6 __________ ___________

International system of Numeration

International system of numeration has following periods:-

I-Period=Ones = ones, tens, hundreds

II-Period= Thousands = thousands, ten thousands, hundred

thousands

III-Period = Millions= million, ten millions, hundred millions

Note:- We insert commas to differentiae periods it helps to

write the number name.

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International system of Numeration

Place value chart

Periods Millions Thousands Ones

Number HM TM M Hth Tth TH H T O

7,895,642 7 8 9 5 6 4 2

Seven Million Eight hundred ninety five thousand six hundred

forty two

Periods Millions Thousands Ones

Number HM TM M H th T th TH H T O

12,853,172 1 2 8 5 3 1 7 2

Twelve million eight hundred fifty three thousand one

hundred seventy two

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Q1. Insert the commas as per international system of numeration and write the number

name.( one is done for you)

a) 4819575

Insert commas = 4,819,575

Number Name = Four Million eight hundred nineteen thousand five hundred seventy five.

b) 820756

Insert commas = ___________________

Number Name = ________________________________________________________

c) 2856905

Insert commas = ___________________

Number Name = ________________________________________________________

d) 6398705

Insert commas = ___________________

Number Name = ________________________________________________________

e) 50249

Insert commas = ___________________

Number Name = ________________________________________________________

f) 1998916

Insert commas = ___________________

Number Name = ________________________________________________________

Q2. Write Numerals for the following number names.(one is done for you)

a) Two millions thirty-seven thousand five hundred twenty-six. = 2,037,526

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b) One million nine hundred ninety eight thousand nine hundred sixteen =

__________

c) Nine hundred forty two thousand five hundred = _________________

d) Nine million twenty eight = _______________.

Rounding off the number

Round off nearest 10

Rules:-1. we will observe which is at ones place if it is less than 5 then

the number that is at ones place turn in to 0. And there will be no

changes at the digit at tense place. For example: 152 round off to 150.

2. If it is 5 or more than 5 at ones place then the number that is at

ones place turn in to 0 and one will be added the digit at tens place.

For Examples: 157 round off to160.

Round off nearest 100

Rules:-1. we will observe which is at tens place if it is less than 5 then

the numbers that is at ones place and tens place turn in to 0. And

there will be no changes at the digit at hundred place. For example:

122 round off to 100.

2. If it is 5 or more than 5 at tens place then the numbers that is at

ones place and tens place turn in to 0 and one will be added the digit

at hundred place. For Examples: 181 round off to200.

Round off nearest 1000

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Rules:-1. we will observe which is at hundreds place if it is less than 5

then the numbers that is at ones place, tens place and hundreds place

turn in to 0. And there will be no changes at the digit at thousand

place. For example: 2122 round off to 2000

2. If it is 5 or more than 5 at hundred place then the numbers that is

at ones place, tens place and hundred place turn in to 0 and one will

be added the digit at thousand place. For Examples: 2581 round off to

3000.

Topic: Rounding off

Q1. Round off the following numbers to the nearest 10.

a) 64 = 64 round off to 60 b) 71 = _____________

c) 872 = _____________ d) 57 = _____________

e) 185 = ____________ f) 2,731 = __________

Q2. . Round off the following numbers to the nearest 100.

a) 584 = 584 round off to 600 b) 721 = ____________

c) 8,702 = _______________ d) 8782 = ___________

e) 98,533 = ______________ f) 1563 = _____________

Q3. . Round off the following numbers to the nearest 1000.

a) 6,344 = 6,344 round off to 6000 b) 7,852 = _________________

c) 87, 662 = ________________ d) 1,890 = ________________

8,231 = __________________ f) 38,897= _______________

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Topic: Roman Numerals

Q1. Convert the following Roman Numerals into Hindu-Arabic numerals.

a) XXIX = __________

b) LXIV = __________

c) LXIX = __________

d) CCV = __________

e) XXXIII = __________

f) CCXXV = __________

g) CDX = ____________

i) CCL = _____________

Q2. Write the Roman Numerals for the following.

a) 635 = _____________

b) 243 = _____________

c) 62 = ____________

d) 27 = ___________

e) 827 = __________

f) 221 = ___________

g) 532 = ____________

Roman Numerals

I III IV V X XXX XL L C D M

Hindu Arabic

1 3 4 5 10 30 40 50 100 500 1000

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CH- Addition

Addition means finding the total of two or more

numbers. This total is called Sum.

The numbers which are added are called

addends.

Properties of Addition

Two or more numbers can be added in any order.

25 + 10= 35

10+ 25 = 35

30 + 10+ 16 =56

16+ 30 + 10 = 56

Adding 0 to a number gives the same number.

4567 + 0 = 4567

289 + 0 = 289

6550 + 0 = 6550

Adding 1 to a number gives the next number.

899 + 1 = 900

25 + 1 = 26

5,682 + 1 = 5,683

7,84,590 + 1 = 7,84,591

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Adding 10 to a number increases the tens place by 1

450 + 10 = 460

4853 + 10 = 4863

98,992 + 10 = 99002

758+ 10 =768

Adding 100 to a number increases the hundred place by 1.

5866 + 100 = 5966

2000+100 = 2100

4,59,632 + 100 = 4,59,732

9,99,682 +100 = 9,99,782

Adding 1000 to a number increases the thousand place by 1.

5,432 +1000 = 6432

4,42,637 + 1000 = 4,43,637

20,025 + 1000 = 21,025

Topic: Addition

Q1. Add the following

L Tth TH H T O

2 3 6 6 5 3

+ 5 4 1 2 2 6

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L Tth TH H T O

3 5 6 1 7 2

+ 5 2 2 6 2 4

Tth Th H T O

6 2 5 5 7

+ 2 1 2 4 1

Tth Th H T O

4 9 7 6 1

+ 2 0 3 4 1

Q2. Fill in the blanks

a) 7259 + 1 = ___________________

b) 6243 + 1000 =________________

c) 9163 + 10 = _____________________

d) 1666 + 100 = __________________

e) 8321 + 1 = _____________________

f) 1176 + 1 = ______________________

Q3. Arrange the following numbers in columns and add.

a) 2167 + 6789 + 1837

b) 45623 + 15236

c) 7766 + 9854

Topic: Addition

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Q1. The number of people who visited a tourist spot in the months of May,

June and July is 7,297 , 3,618 and 8,135 respectively. How many tourists

visited the spot altogether ?

Q2. The numbers of boys and girls who went to picnic is 2,867 and 1,895

respectively. How many students went for picnic?

Q3. There were 1,246 participants from country A and 1,789 participants from

country B in a sports meet. How many participants participated in the sports

meet?

Q4.There are 2,90,457 men, 2,70, 350 women and 1,45, 980 children in a

town. What is the total population of the town?

Q5. A company manufactured 5,23,500 bulbs in the month of January and 3,

24, 800 bulbs in the month of February. Find the total number of bulbs

manufactured in these two months?

Q6. Arrange the following numbers in columns and add.

a) 45377 + 32500 + 28277

b) 97186 + 26420 + 29898

Topic: Addition

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Word Problems

Q1. In a community Library, there are 3, 98,456 old books. The

management decided to buy 67,876 new books. How many books will

be there in library?

Q2. A vegetables seller sold 12,365 kg potatoes, 15,725 kg onions and

13,400 kg tomatoes in a year. What is the total weight of the

vegetables he sold that year?

Q3. The population of a city was 8,36,371 in 2014. It was expected to

increase by 1,01,987 by the end of 2015. What was the expected

population of the city at the end of 2015?

Q4. What will be the sum of the smallest 4-digit number, 5-digit

number and 6-digit number?

Q5. Write the missing addends?

a) 600 + _________ = 800

b) 2000 + ________ = 5000

c) 200 + ______ + 400 =900

d) 2000 + __________ + 1000 = 6000

Topic: Addition

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Q1. Rajni’s School has 20,156 students. Rohit’s school which is 35 km away has

11,987 students. How many students are there in both the schools altogether?

Q2. There are 33,567 men watching a cricket match in a stadium. The capacity

of the stadium is 80,000 people. There were also 21,945 women watching the

match . How many people in all were watching the match?

Q3. What will be the sum of 64,516 and 5000?

Q4. Estimate the sum of 32,786 and 23,690 to the nearest hundreds?

Q5. A number exceeds 76,879 by 3,599. What is the number?

Q6. What number is 678 more than 11568?

Q7. Estimated the sum as instructed and compare with original sum.

a) 3842 + 7829 + 100 (round off 100)

b) 5623 + 3400 + 2300 ( round off 1000)

c) 1245 + 1616 + 4700 ( round off 10)