Class: 4th

Subject: Math

Fa2 solved assignment

Chapter: Addition and subtraction

Ex: 3.1

1. Add each of the following.

a)

TTh Th H T O

4 0 7 5 2

+ 5 8 1 3 3

9

8 8 8 5

b) C Try yourself

2. Add the following

a)

L TTh Th H T O

2 6 6 6 1 2

4 2 2 7 2 8

+1 8 6 8 3 5 8

7 6 1 7 5

b)

L TTh Th H T O

3 2 8 0 8 2

4 7 7 2 3

1 3 3 2 7 6

+3 1 2 5 4 3

8

2 1 6 2 4

C)Try yourself.

3. Arrange in columns and add.

a) 74,281 +23,725

Sol:

TTh Th H T O

7 4 2 8 1

+2 3 7 2 5

9 8 0 0 6

b) 21,356 +87,947 + 14,313

Sol

L TTh Th H T O

2 1 3 5 6

8 7 9 4 7 + 1 4 3 1 3

1 2 3

6 1 6

C,d,e,f Try yourself.

g)

77,820 +54,163

Sol

L TTh Th H T O

7 7 8 2 0

+ 5 4 1 6 3

1 3 1 9 8 3

h ,I ,j Try yourself.

K) 35,620 +9037 + 1,65,924

Sol:

L TTh Th H T O

3 5 6 2 0

9 0 3 7

+1 6 5 9 2 4

2 1 0 5 8 1

L ) Try yourself.

Ex:3.2

1. Fill in the blanks.

a) 2,64,399 + 1= 2,64,400

b) 3,85,676+ 10 = 3,85,686

c) 4,53,345 + 100 = 4,53,445

d) ,e,f Try yourself

g) 7,25,696 + 10 = 7,25,706

h) 4,53,345 + 0 = 4,53,345

i) 1,23,987 +1000 = 1,24,987

j) 72,999 + 0 = 72,999

2. Add the following pairs and compare the sum.

a) 22,450 + 5,67,225 and 5,67,225+22,450

Sol:

2 2 4 5 0 5 6 7 2 2 5

+5 6 7 2 2 5 2 2 4 5 0

5 8 9 6 7 5 5 8 9 67 5

Sum remains same even if we change the order of numbers.

B, c Try yourself

d)76,554+32,785 and 32,785+76,554

Sol:

7 6 5 5 4 3 2 7 8 5

+ 3 2 7 8 5 + 7 6 5 5 4

10 9 3 3 9 1 0 9 3 3 9

Sum remains same even if we change the order of numbers.

3.Add the three numbers given below and compare the total.

a) 6,57,678+( 78,689+ 34,356) and (78,689+6,57,678)+34,356

Sol:

Let us first add

6,57,678+(78,689+34,356)

= 6,57,678+ 1,13, 0 4 5

= 7,70,723

( 78,689+6,57,678)+34,356

= 736367+34,356

= 7,70,723

The sum remains same even if the grouping of numbers is changed.

B, c,d’ Try yourself

Ex: 3.3

Read the following stories carefully and solve them.

1. Dave bought a TV for ₹45,575 and a refrigerator for ₹25,615.

How much money did he spend in all?

Sol:

Cost of TV = ₹45,575

Cost of refrigerator=₹25,615

Total money spend by Dave=

45,575+25,615

4 5 5 7 5

+ 2 5 6 1 5

7 1 1 9 0

Thus, ₹71190 is total money spend by Dave.

2. A newspaper agent delivers 15,545 English newspapers and

14,275 Hindi newspaper in a day. How many newspapers does

he deliver in a day?

Sol:

Number of english newspapers delivered by agent= 15,545

Number of Hindi newspaper delivered by agent = 14,275

Total number of newspapers delivered by agent=

15,545+14,275

1 5 5 4 5

+ 1 4 2 7 5

2 9 8 2 0

Thus, 29820 newspapers are delivered by the agent in a day.

3, 4 Try yourself.

5.A bookshop had 565 notebooks. For the new school session, they

placed an order for 5250 more notebooks. How many notebooks are

there in the bookshop now?

Sol

Number of notebooks in bookshop=565

Number of notebooks ordered for new session= 5250

Total number of books=565+5250

= 5815

6,7 Try yourself.

8. A farmer sold 10,545 kg of potatoes, 11,275kg of onions and

10,025kg of tomatoes. What is the total weight of the vegetables he

sold?

Sol:

Weight of potatoes sold by farmer= 10,545kg

Weight of onions sold by farmer=11,275kg

Weight of tomatoes sold by farmer= 10,025kg.

Total weight of vegetables sold by farmer=

10,545+11,275+10,025

1 0 5 4 5

1 1 2 7 5

+ 1 0 0 2 5

31845

Total weight of vegetables = 31,845kg

9. A school ordered balloons for all the school children on children’s

day. There were 2870 red balloons,2175 blue balloons, 1550 green

balloons and 2245 yellow balloons . How many balloons were there

in all for children’s day?

Sol

Number of red balloons= 2870

Number of blue balloons= 2175

Number of green balloons = 1550

Number of yellow balloons=2245

Total number of balloons in all for children’s day=

2870+2175+1550+2245

= 8840

Ex 3.4

1. Estimate the sum to the nearest ten and compare with the

actual sum.

a) 59+24

Sol:

59+24

= 60+20

= 80

b) 99+102

Sol:

99+102

= 100+100

= 200

c) 505+19

Sol:

505+19

= 500+20

=520

d,e,f Try yourself

2.Estimate the sum to the nearest hundred and compare with the

actual sum.

a) 277+232

Sol:

277+232

= 300+200

= 500

b) 1588+612

Sol:

1588+612

= 1600+600

=3200

c) 455+912

Sol:

455+912

= 500+900

= 1400

Ex: 3.5

1. Arrange the numbers in columns and subtract them.

a) 7654-3243

Sol

7 6 5 4

- 3 2 4 3

4 4 1 1

b) 97,205 – 3426

Sol

9 7 2 0 5

- 3 4 2 6

9 3 7 7 9

c) 28,976 – 1167

Sol

2 8 9 7 6

- 1 1 6 7

2 7 8 0 9

d,e,f,g Try yourself.

h) 50,408- 3412

Sol:

5 0 4 0 8

- 3 4 1 2

4 6 9 9 6

i) 7,56,320- 3,47,980

Sol:

7 5 6 3 2 0

- 3 4 7 9 8 0

4 0 8 3 4 0

J,k Try yourself

i) 8,74,506-4,01,228

Sol

8 7 4 5 0 6

- 4 0 1 2 2 8

4 7 3 2 7 8

2. Solve the following.

a) Subtract 20,365-78,654

Sol:

78,654-20,365

= 58,289

b) Find the difference between 56,435-8,76,540.

Sol:

8,76,540-56,435

= 8,20,105

c) Subtract 3,45,270 from 7,86,775

Sol

7,86,775- 3,45,270

= 4,41,505

d) Find the difference between 4,57,869 and 7865

Sol:

4,57,869-7865

= 450,004

e) Subtract 45,636 from 78,670

Sol:

78,670-45,636

= 33,034

f, to j Try yourself.

3. Subtract five lakh seven thousand two hundred twelve

from seven lakh eighty-five thousand.

Sol

785000 – 507212

= 2,77,788

4. Find the difference between six lakh forty-three

thousand three hundred seven and six lakh four

thousand two hundred seven.

Sol

643307 – 604207

= 39,100

5.By how much is 12,458 bigger than 10,245?

Sol:

12,458-10,245

= 2,213

Thus, 12,458 is bigger than 10,245 by 2,213.

6.Try yourself.

7.By how much is the sum of 1,51,263 and 47,856 smaller than

2,00,000?

Sol:

Sum of 1,51,263 and 47,856 is

199,119

Now,

2,00,000-199,119

= 881

So the sum of 1,51,263 and 47,856 is smaller than 2,00,000 by 881.

Ex: 3.6

1. Fill in the blanks.

a) 47,690-1= 47,689

b) 68,790-10 = 68,780

c) 47,500-100 = 47,400

d) 12,987-1000 = 11,987

e) 73,000-1 = 72,999

f) To j Try yourself.

k)43,673 -18221 = 25,452

L) 25,452 + 18,221 = 43,673

m,n Try yourself.

2. Find the subtrahend in the following.

a) 54,635 – 33101 = 21,534

b) 7,56,398 – 410728 = 3,45,670

c) Try yourself

3.What should be subtracted from 7,59,593 to get a difference of

23,943?

Sol: The subtrahend can be found by subtracting the difference from

the minuend.

7 5 9 5 9 3

2 3 9 4 3

7 3 5 6 5

Therefore,

7,59,593 – 735650 = 23,943

4.Try yourself.

Ex: 3.7

Read the following stories carefully and solve them.

1. Sushma placed an order for 15,775 flowers for decorating a

party hall. There were 9,455 yellow and the rest were white.

How many white flowers were there?

Sol:

Number of flowers sushma ordered=15,775

Number of yellow flowers=9,455

Thus, number of white flowers =

15,775-9,455

1 5 7 7 5

- 9 4 5 5

6 3 2 0

2. The difference between two numbers is 75,894. The number

that was subtracted is 2,35,675. Find the other number.

Sol:

Difference of two numbers = 75,894

The number that was subtracted

= 2,35,675

Let the other number = X

X – 2,35,675 = 75,894

X = 75,894 + 2,35,675

= 311569

So the other number= 3,11,569

3 to 6 Try yourself.

7. 1344 cans of health drinks were kept in cartons for the

children on sports Day function. 1275 cans were distributed

among the children. How many cans are left?

Sol:

Number of health drinks in cartons for the children on sports

day function=1344

Number of cans distributed among children=1275

Number of cans left

1344 – 1275

1 3 4 4

1 2 7 5

6 9

So the number of cans left= 69

8. 5360 white tiles and 2225 blue tiles were bought to lay the floors

of the rooms of a college. After floors were ready 399 tiles were left

over. How many tiles were used to make the floors?

Sol:

Number of white tiles=5360

Number of blue tiles=2225

Total number of tiles= 5360+2225

= 7585

Number of tiles left= 399

Number of tiles used to make the floor=

7585-399

7 5 8 5

- 3 9 9

7 1 8 6

9. A shopkeeper ordered for 2500 boxes of candles before Diwali.

After the festive season, he was left with 87 boxes of candles. How

many boxes had he sold?

Sol:

Number of candles shopkeeper ordered before Diwali= 2500

Number of candles left= 87

Number of boxes sold=

2500- 87

2 5 0 0

- 8 7

2 4 1 3

10. Try yourself.

Ex: 3.8

1. Subtract the following and verify the answer using addition.

a) 5,46,389 – 87,598=458791

b) 75,683 – 8457 = 67226

c) 4,92,022- 98,594 = 393428

d) 85,493 – 9485 = 76,008

e) TRY YOURSELF.

2 Subtract the following and verify the answer showing the step

wise working in your notebook.

a) 46,573 from 5,76,937

Sol

5,76,937- 46,573

5 7 6 9 3 7

4 6 5 7 3

5 3 0 3 6 4

b) 8478 from 94,579

Sol

94,579- 8478

9 4 5 7 9

8 4 7 8

8 6 1 0 1

C,d Try yourself.

Ex 3.9

1. Estimate the difference to the nearest ten and compare with

the actual difference.

a) 49 – 23

Sol:

To estimate the difference, we shall round the numbers

to the nearest tens and then subract them.

49 can be rounded to 50.

23 can be rounded to 20.

Subtracting 20 from 50 gives difference of 30.

Thus the actual difference is

49 – 23= 26

The estimate and the actual value differ just by 4.

b)to d Try yourself.

e) 34,578 – 8674

sol:

34,578 can be rounded to 34,580

8674 can be rounded to 8670.

Subtracting 8670 from 34,580 gives a difference of 25910.

Thus the actual difference is 34,578-8674=25904

The estimate and the actual value differ just by 8.

2. Estimate the difference to the nearest hundred and compare

with the actual difference.

a) 287 – 122

Sol:

287 can to rounded to 300

122 can be rounded to 100

Subtracting 100 from 300 gives a difference of 200.

Thus, the actual difference is 287 – 122 = 165

The estimate and the actual value differ by 35.

b) 76,840 – 43,656

Sol:

76,840 can be rounded to 76,800.

43,656 can be rounded to

43,600.

Subtracting 43,600 from

76,800 gives 33,200.

Thus, the actual difference is

76,840 – 43,656 = 33,184

The estimate and the actual value differ just by 16

C ) to d) Try yourself.

Chapter: Multiplication

Ex:4.1

1. Find the product.

a)

Th H T O

2 7 3 4

× 4

1 0, 9 3 6

b)Th H T O

4 3 7 5

× 7

3 0, 6 2 5

c) To f Try yourself.

g)Th H T O

7 0 6 3

× 9

6 3, 5 6 7

h)

Th H T O

6 6 0 4

× 3

1 9, 8 1 2

2.Multiply the following using the column method.

a) 347×25

Sol

Th H T O

3 4 7

× 2 5

1 7 3 5

+ 13 9 4 ×

8 6 7 5

b)769 × 34

Sol:

Th H T O

7 6 9

× 3 4

30 7 6

+ 2 3 0 7 ×

2 6,1 4 6

c)386×77

Sol

Th H T O

3 8 6

× 7 7

2 7 0 2

+ 2 7 0 2 ×

2 9, 7 2 2

d)572×61

Sol

Th H T O

5 7 2

× 6 1

5 7 2

+ 3 4 3 2 ×

3 4, 8 9 2

e),to h) Try yourself

3. Multiply the following using the column method.

a) 5462×19

Sol

Th H T O

5 4 6 2

× 1 9.

4 9 1 5 8

+ 5 4 6 2 ×

1,0 3 , 7 7 8

b)9437 × 28

Sol:

Th H T O

9 4 3 7

× 2 8

7 5 4 9 6

+ 1 8 8 7 4 ×

2,6 4 ,2 3 6

C to h ) Try yourself.

4.Write the numbers in columns and find the product.

a)716×245

Sol:

Th H T O

7 1 6

× 2 4 5

3 5 8 0

2 8 6 4 ×

+ 1 4 3 2 × ×

1, 7 5 , 4 2 0

b)4114×256

Sol

Th H T O

4 1 1 4

× 2 5 6

2 4 6 8 4

2 0 5 7 0 ×

+ 8 2 2 8 × ×

10, 5 3, 1 8 4

c)1952×303

Sol:

1 9 5 2

× 3 0 3

5 8 5 6

0 0 0 0 ×

+ 5 8 5 6 × ×

5, 9 1 , 4 5 6

d)729×638

Sol

7 2 9

× 6 3 8

5 8 3 2

2 1 8 7 ×

+ 4 3 7 4 × ×

4, 6 5 , 1 0 2

e to L Try yourself.

Ex: 4.2

Use the properties of multiplication to fill in the blanks.

1. 654×1 = 654

2. 3455 × 1 = 3455

3. 8546 × 0 = 0

4. 8689 × 0 = 0

5. 679× 35 = 35 × 679

6. 695 × 600 = 600

7, 8 Try yourself.

Ex : 4.3

1. Multiply the following using the expanded form.

a) 217×4

Sol:

217 × 4

= (200 + 10 + 7) × 4

= ( 200×4 ) + ( 10 ×4 ) +(7×4)

= 800+40 + 28

= 840+28

= 868

b) 436×6

Sol:

436×6

= ( 400 + 30 + 6)×6

= 400×6 +30×6 +6×6

= 2400 + 180 + 36

= 2580 + 36

= 2616

c) 712 × 5

Sol

712 ×5

= ( 700+ 10 + 2) ×5

= 700×5 +10×5 + 2×5

= 3500 +50 +10

= 3500 + 60

= 3560

d) 3175 × 4

Sol:

3175 × 4

= ( 3000 + 170 + 5) × 4

= 3000×4 + 170 × 4 + 5×4

= 12000 + 680 + 20

= 12680 + 20

= 12700

e) 2058 × 6

Sol:

2058 ×6

=( 2000 +58)×6

= 2000 × 6 +58×6

=12000 + 58 × 6

= 12000 + 348

=12348

f) 1058×8

Sol

1058×8

= ( 1000 + 58)× 8

= 1000×8 +58×8

= 8000 + 464

= 8464

g) To l Try yourself.

2. Fill in the blanks.

a) 7×400 = 2800

b) 6×2000= 12,000

c) 9×20 =180

d) 14×300 =4200

e) 23×2000 = 46000

f) 17 × 5000 = 85000

g) 25 × 60 = 1500

h) 13 × 4000= 52000

i) To l Try yourself.

Ex: 4.4

1. Read the following stories carefully and solve them.

a) There is 1350 kg of food material in one container. How

many kilograms of food will 375 such containers contain?

Sol:

Food material in one container= 1350kg.

Number of containers= 375

1 3 5 0

× 3 7 5

6 7 5 0

9 4 5 0 ×

4 0 5 0 × ×

5 0 6 2 5 0

2. There are 24 hours in one day. How many hours are there in

365 days? If a year has 365 days, how many hours are there in

100 years?

Sol

Number of hours in 365 days

3 6 5

× 2 4

1 4 6 0

7 3 0 ×

8 7 6 0

8760 hours.

And hours in 100 years

365×100=36500 hours

3.Try yourself.

4. One large packet has 200 balloons. How many balloons are

there in 250 packets?

Sol

Number of balloons in packet= 200

250 ×200 = 50000

5. One ticket for a movie at the multiplex costs

₹280.What is the cost of 1250 tickets?

TRY yourself

6. 155 oranges are packedinto one carton. How many

oranges will be packed into 1550 such cartons?

Sol

Number of oranges in one carton= 155

Number of oranges in 1550 cartons=

1 5 5 0

× 1 5 5

7 7 5 0

7 7 5 0 ×

1 5 5 0 × ×

2 4 0 2 5 0

7,8 Try yourself.

9. 9780 passengers travel from Mumbai to chennai by train every day

How many people travel in a year?

Sol

Number of passengers travelling from Mumbai to chennai= 9780

Number of people travelling in a year=

9 7 8 0

× 3 6 5

4 8 9 0 0

5 8 6 8 0 ×

2 9 3 4 0 × ×

3 5 6 9 7 0 0

10. 32 mugs of water can fill a cylinder drum. How many mugs of

water are required to fill 56 drums?

Number of mugs that can fill in a cylinder drum= 32

Number of mugs required to fill 56 drums=

5 6

× 3 2

11 2

1 6 8 ×

1 7 9 2