Friday, January 14, 2022

Ways to Multiply and Divide | Class 5 | Mathematics | NCERT Solutions

Practice time

1. Use Bela’s method to multiply these numbers.

  • 32 X 46
  • 67 X 18

Answer

32 X 46

 

 

 

3

2

 

 

 

 

 

X

4

6

 

 

 

 

-----------------------------------

 

 

 

 

 

1

9

2

( 32 X 6 )

 

+

1

2

8

0

( 32 X 40 )

 

 

-----------------------------------

 

 

 

 

1

4

7

2

 

 

 

 

-----------------------------------

 

 

 

67 X 18

 

 

 

6

7

 

 

 

 

 

X

1

8

 

 

 

 

-----------------------------------

 

 

 

 

 

5

3

6

( 67 X 8 )

 

+

 

6

7

0

( 67 X 10 )

 

 

-----------------------------------

 

 

 

 

1

2

0

6

 

 

 

 

-----------------------------------

 

 

 

2. Do these in your notebook using Bela’s method.

a) 47 X 19

 

 

 

4

7

 

 

 

 

 

X

1

9

 

 

 

 

----------------------------

 

 

 

 

 

4

2

3

( 47 X 9 )

 

+

 

4

7

0

( 47 X 10 )

 

 

----------------------------

 

 

 

 

1

8

9

3

 

 

 

 

----------------------------

 

 

 

b ) 188 X 91     

 

 

 

1

8

8

 

 

 

 

X

 

9

1

 

 

 

 

-----------------------------

 

 

 

 

 

1

8

8

(188 X 1)

+

1

6

9

2

0

(188 X 90)

 

-------------------------------------

 

 

 

1

7

1

0

8

 

 

 

-------------------------------------

 

 

c ) 63 X 57

 

 

 

6

3

 

 

 

 

 

X

5

7

 

 

 

 

----------------------------

 

 

 

 

 

4

4

1

( 63 X 7 )

 

+

3

1

5

0

( 63 X 50 )

 

 

-----------------------------

 

 

 

 

3

5

9

1

 

 

 

 

-----------------------------

 

 

 

d ) 225 X 22    

 

 

 

2

2

5

 

 

 

 

X

 

2

2

 

 

 

 

-----------------------------

 

 

 

 

 

4

5

0

(225 X 2)

+

 

4

5

0

0

(225 X 20)

 

-------------------------------------

 

 

 

 

4

9

5

0

 

 

 

-------------------------------------

 

 

e ) 360 X 12

 

 

 

3

6

0

 

 

 

 

X

 

1

2

 

 

 

 

-----------------------------

 

 

 

 

 

7

2

0

(360 X 2)

+

 

3

6

0

0

(360 X 10)

 

-------------------------------------

 

 

 

 

4

3

2

0

 

 

 

-------------------------------------

 

 

f ) 163 X 42

 

 

 

1

6

3

 

 

 

 

X

 

4

2

 

 

 

 

-----------------------------

 

 

 

 

 

3

2

6

(163 X 2)

+

 

6

5

2

0

(163 X 40)

 

-------------------------------------

 

 

 

 

6

8

4

6

 

 

 

-------------------------------------

 

 

Shantaram a special Cook

a ) Shantaram is a special cook who comes only on party days. Last year he was called for only 28 days. For each day he has to be paid Rs 165. Find out how much money he will get in all.

Ans:

Shantaram gets money per day = Rs 165

He will get for 28 days = Rs 165 X 28

 

 

 

1

6

5

 

 

 

 

X

 

2

8

 

 

 

 

-----------------------------

 

 

 

 

1

3

2

0

(165 X 8)

+

 

3

3

0

0

(165 X 20)

 

-------------------------------------

 

 

 

 

4

6

2

0

 

 

 

-------------------------------------

 

 

 

Shantaram will get Rs 4620 in all.
b ) If he is called for all days of the year, how much salary will he get?

Ans:

Shantaram gets money per day = Rs 165

He will get for 1 year ( 365 days ) = Rs 165 X 365

 

 

 

1

6

5

 

 

 

 

X

3

6

5

 

 

 

------------------------------------

 

 

 

 

 

8

2

5

(165 X 5)

+

 

9

9

0

0

(165 X 60)

 

4

9

5

0

0

(165X 300)

 

-------------------------------------

 

 

 

6

0

2

2

5

 

 

 

------------------------------------

 

 

 

If he is called for all days of the year, he will get Rs 60, 225 as his salary.

c ) Now find the salaries of the minister and horse rider for 1 year.

Ans:

Minister

A minister gets salary for 1 day = Rs 195

He will get salary for 1 year ( 365 days ) = Rs 195 X 365

 

 

 

1

9

5

 

 

 

 

X

3

6

5

 

 

 

------------------------------------

 

 

 

 

 

9

7

5

(195 X 5)

+

1

1

7

0

0

(195 X 60)

+

5

8

5

0

0

(195X 300)

 

------------------------------------

 

 

 

7

1

1

7

5

 

 

 

------------------------------------

 

 

 

The salary of the minister for 1 year is Rs 71,175

Horse rider

A Horse rider gets salary for 1 day = Rs 76

He will get salary for 1 year ( 365 days )= Rs 76 X 365

                             76

                         X 365

                   ……………………….

                             380      ( 76 X 5 )

                           4560     ( 76 X 60 )

                         22800     ( 76 X 300 )

                 ……………………...........…

                         27740

The salary of the horse rider for 1 year is Rs 27,740

Years and Years

a ) Sohan drinks 8 glasses of water every day.

i ) How many glasses will he drink in one month?

Ans:

Sohan drinks in one day = 8 glasses

He will drink in one month ( 30 days ) = 8 X 30 = 240 glasses

ii ) How many glasses will he drink in one year?

Ans:

Sohan drinks in one day = 8 glasses

He will drink in one year ( 365 days ) = 8 X 365 = 2920 glasses

iii ) If 125 people living in a colony drink 8 glasses of water in a day, how much water will they drink in a year?

Ans:

One person drinks in one day = 8 glasses

125 persons will drink in one day = 8 X 125 = 1000 glasses

125 persons will drink in 365 days ( 1 year ) = 1000 X 365

= 365000 glasses

b ) If Soha’s heart beats 72 times in one minute, how many times does it beat in one hour?

Solution:

Soha’s heart beats in 1 minute = 72 times

Her heart beats in 1 hour ( 60 minutes ) = 72 X 60

                             72

                         X 60

                   ……………………

                        4320

Hence, her heart will beat 4320 times in one hour.

i ) Now find out how many times it beats in one day.

Solution:

Soha’s heart beats in 1 hour = 4320 times

Her heart will beat in 1 day ( 24 hours ) = 4320 X 24

                             4320

                             X 24

……………………………

          17280         ( 4320 X 4 )

+       86400         ( 4320 X 20 )

…………………………….

         103680

…………………………….

ii ) Count your own heart beats to find out how many times your heart beats in one week.

Solution:

My heart beat in one minute = 72 times

My heart beat in 1 hour ( 60 minutes ) = 72 X 60

                                                              = 4320 times

My heart beat in 1 day ( 24 hours ) = 4320 X 24

                                                        =1,03,680 times

My heart beat in 1 week ( 7 days ) = 103680 X 7

                                                       = 7,25,760 times

Hence my heart beats 7,25,760 times in 1 week.

c ) A baby elephant drinks around 12 L of milk every day. How much milk will it drink in two years?

Solution:

A baby elephant drinks milk in 1 day = 12 L

It will drink in 2 years ( 365 X 2 = 730 days ) = 12 X 730

                                                = 8760 L

Hence the baby elephant will drink 8760 L of milk in 2 years.

d ) A baby blue whale drinks around 200 L of milk in one day. Just imagine how much milk that is! Find out in how many days your family would use 200 L milk. How much milk would the baby blue whale drink in eight months?

Solution:

A baby blue whale drinks milk in 1 day =200 L

It will drink in 1 month ( 30 days ) = 200 X 30 = 6000 L

It will drink in 8 months = 6000 X 8 = 48000 L

Hence a baby blue whale will drink 48000 L milk in 8 months.

Karunya – The Landlord

Karunya bought three fields.

Field A

Field B

Field C

Length 28 m

Breadth 27 m

Length 36 m

Breadth 12 m

Length 27 m

Breadth 19 m

 

* Find the area of all the three fields.

Solution:

Area of Field A

Length = 28 m , breadth 27 m

Area : Length X breadth = 28 X 27

                   28

                X 27

…………………………………..

                 196       ( 28 X 7 )

+              560      ( 28 X 20 )

………………………………………………

                 756 sq. metre

Area of Field B

Length = 36 m , breadth 12 m

Area : Length X breadth = 36 X 12

                                      = 432 sq. metre

Area of Field C

Length = 27 m , breadth 19 m

Area : Length X breadth = 27 X 19

                                      = 513 sq. metre

* He bought field ( A ) at the rate of Rs 95 for a square metre, field ( B ) at Rs 110 for a square metre and field ( C ) at Rs 120 for a square metre.

Find the cost of all three fields.

Solution:

Field A

Cost of 1 square metre = Rs 95

Therefore, cost of 756 square metre = 95 X 756

                                      95

                                  X 756

                   …………………………………..

                             570             ( 95 X 6 )

                           4750             ( 95 X 50 )

                         66500             ( 95 X 700 )

                   ……………………………………………….

      71820

……………………………………………….

Hence the cost of field A is Rs 71820

Field B

Cost of 1 square metre = Rs 110

Therefore, cost of 432 square metre = 110 X 432

                                      110

                                  X 432

                   …………………………………..

                             220             ( 110 X 2 )

                           3300             ( 110 X 30 )

                         44000             ( 110 X 400 )

                   ……………………………………………….

      47520

……………………………………………….

Hence the cost of field B is Rs 47520

Field C

Cost of 1 square metre = Rs 120

Therefore, cost of 513 square metre = 120 X 513

                                  120

                               X 513

                   …………………………………..

                               360           ( 120 X 3 )

                             1200           ( 120 X 10 )

                           60000           ( 120 X 500 )

                   ……………………………………………….

        61560

……………………………………………….

Hence the cost of field C is Rs 61560

 

Story Problems

Thulasi and her husband work on Karunya’s farm. The Government has said that farm workers should be paid at least Rs 71 for one day’s work. But he pays Rs 55 to Thulasi and Rs 58 to her husband.

Q. If Thulasi works for 49 days, how much money does she get?

Solution:

Thulasi gets for 1 day = Rs 55

Thulasi will get for 49 days = 55 X 49

                                      55

                             X       49

                             --------------

                                      495    ( 55 X 9 )

                             +     2200    ( 55 X 40 )

                             --------------

                                    2695

Hence Thulasi will get 2695 rupees for 49 days work.

Q. If her husband works for 42 days, how much money does he get?

Solution:

Thulasi’s husband gets for 1 day = Rs 58

He will get for 42 days = 58 X 42

                                      58

                             X       42

                             --------------

                                      116     ( 58 X 2 )

                             +    2320     ( 58 X 40 )

                             --------------

                                   2436

Hence Thulasi’s huband will get 2436 rupees for 42 days work.

Q. Find the money they earn together.

Solution:

Thulasi earns                  =       Rs 2695

Her husband earns        = +   Rs 2436

                                      -----------------

They earn together        =       Rs 5131

Q. Governments of different states have said that farmworkers should not be paid less than this salary for a day’s work.

State

Salary for one day

Haryana

Rs 135

Rajasthan

Rs 73

Madhya Pradesh

Rs 97

Orissa

Rs 75

 

The table shows the amounts fixed by four states.

a) For farm work which state has fixed the highest amount? Which state has fixed the lowest?

Solution:

For farm work the state Haryana has fixed the highest and the state Rajasthan has fixed the lowest.

b ) Bhairon Singh is a worker in Rajasthan. If he works for 8 weeks on the farm, how much will he earn?

Solution:

In Rajasthan,

Bhairon Singh is paid for 1 day = Rs 73

He will be paid for 56 days ( 8 weeks ) = 73 X 56

                                                73

                                      X       56

                                      ------------

                                                438    ( 73 X 6 )

                                           + 3650   ( 73 X 50 )

                                      ------------

                                              4088

Hence Bhairon Singh will earn Rs 4088.

c) Neelam is a worker in Haryana. If she works for 2 ½ months on the farm, how much will she earn?

Solution:

As per Haryana Govt. Neelam is paid for 1 day = Rs 135

She will be paid for 75 days ( 2 ½ months ) = 135 X 75

                                                135

                                      X         75

                                      --------------

                                                675    ( 135 X 5 )

                                          + 9450    ( 135 X 70 )

                                      -------------------

                                             10125

Hence Neelam will earn Rs 10,125 in 2 ½ months.

d) How much more will a farm worker in Madhya Pradesh get than a worker in Orissa after working for 9 weeks?

Solution: 

We know 9 weeks = 7 X 9 = 63 days

A Madhya Pradesh worker gets for 1 day = Rs 97

An Orissa worker gets for 1 day = Rs 75

A Madhya Pradesh worker gets more = Rs 97 – Rs 75 = Rs 22

Therefore, a Madhya Pradesh worker will get more in 63 days

                             = 22 X 63 = Rs 1386

Hence a Madhya Pradesh worker gets Rs 1386 more than an Orissa worker for working 9 weeks.

  

Satish’s story

Satish is a 13 year old boy. His father had taken a loan for farming. But the crops failed. Now Satish’s mother has to pay Rs 5000 every month for the loan.

Satish started working- he looked after 17 goats of the village.

He earns Rupee 1 everyday for one goat.

1. How much will he earn in one month?

Solution:

He earns for 1 goat in 1 day = Re 1

He will earn for 17 goats in 1 day = Rs 17

Therefore he will earn for 17 goats in 30 days ( 1 month )

                                                = 17 X 30 = Rs 510

2. Does he earn enough to help pay the loan every month?

Solution:

His mother has to pay for 1 month = Rs 5000

Satish earns in 1 month = Rs 510

So he does not earn enough to help pay the loan every month.

3. How much will he earn in one year?

Solution:

He earns for 17 goats in 1 day = Rs 17

Therefore, he will earn for 17 goats in 365 days ( 1 year )

                                      = 17 X 365 = Rs 6205

Hence, he will earn 6205 rupees in one year.

Kamla Bai’s story

To help farmers the State Government gave cows. Kamla Bai Gudhe also got a cow. The cost of the cow was Rs 17,500. She had to pay Rs 5,500 and the government spent the rest of the money.

1. How much did the government spend on the cow?

Solution:

Cost of the cow             = Rs 17500

Kamla Bai paid               = Rs   5500

                                      ----------------

Government paid          = Rs  12000

Hence the government spent Rs 12000 on the cow.

2. If 9 people from her village got cows, how much did the government spend in all?

Solution:

Government spent for 1 person = Rs 12000

Government will spend for 9 people = Rs 12000 X 9

                                                          = Rs 1,08,000

Hence, the government spent 1,08,000 rupees in all.

But Kamla Bai was not happy. She had to spend Rs 85 everyday on the cow. She made some money by selling the milk. But still she wanted to sell the cow.

3. If Kamla Bai spends Rs 85 a day, find out how much she will spend in one month.

Solution:

Kamla Bai spends in 1 day = Rs 85
She will spend in 30 days ( 1 month ) = 85 X 30

                                                = Rs 2550

4. The cow gives 8 litre of milk everyday. How much will it give in one month?

Solution:

Cow gives milk in 1 day = 8 litre

The cow will give in 30 days ( 1 month ) = 8 X 30

                                                = 240 litre

5. If the milk is sold at Rs 9 per litre, how much money will Kamla Bai make in one month?

Solution:

Selling price of 1 litre milk = Rs 9

Selling price of 8 litre of milk = 9 X 8 = Rs 72

So Kamala Bai makes money in 1 day = Rs 72

She will make money for 30 days = 72 X 30 = Rs 2160

6. Explain why she wanted to sell the cow.

Solution:

Money spent on the cow                  = Rs 2550

Money earned from the cow            = Rs 2160

                                                          ------------

Money spent more                           = Rs   390

As the money spent on the cow is more than the money earned from the cow, so Kamla Bai wanted to sell the cow.

Practice time

a ) Sukhi works on a farm. He is paid Rs 98 for one day. If he works for 52 days, how much will he earn?

Solution:

Sukhi is paid for one day = Rs 98

She will be paid for 52 days = 98 X 52

                                      98

                             X       52

                             ------------

                                       196    ( 98 X 2 )

                             +     4900    ( 98 X 50 )

                             -----------------

                                     5096

Hence, he will earn Rs 5096.

 

b ) Hariya took a loan to build his house. He has to pay back Rs 2750 every month for two years. How much will he pay back in 2 years?

Solution:

1 year = 12 month

2 years = 24 months

Hariya paid for each month = Rs 2750

Hariya paid for 24 months = 2750 X 24

                                                2750

                                      X       24

                                      ---------------

                                            11000    ( 2750 X 4 )

                                      +   55000    ( 2750 X 20 )

                                      -----------------

                                            66000

Hence, he will pay back Rs 66000 in 2 years.

 

c ) Ratiram is a milk seller in the city. He sells 13 litres of milk everyday at Rs 23 per litre. How much does he earn?

Solution:

Selling price of 1 litre milk = Rs 23

Selling price of 13 litres milk = 23 X 13 = Rs 299

Hence, he earns Rs 299.

 

d ) A farmer sells 1 litre of milk for Rs 11. In one month he sells 210 litres of milk. How much does he earn in a month?

Solution:

Selling price of 1 litre milk = Rs 11

Selling price of 210 litres milk = 11 X 210 = Rs 2310

Hence, he earns Rs 2310 in a month.

e ) A company sells 1 litre of packed water for Rs 12. A shopkeeper buys 240 litres of packed water. How much does he pay?

Solution:

Cost price of 1 litre packed water = Rs 12

Cost price of 240 litres of packed water = 12 X 240

= Rs 2880

Hence, he pays Rs 2880.

Fun with Multiplication

A) Look for the pattern and take this forward.

(0 X 9 )

+

1

=

1

(1 X 9)

+

2

=

11

(12 X 9)

+

3

=

111

(123 X 9 )

+

4

=

1111

(1234 X 9 )

+

5

=

11111

(12345 X 9 )

+

6

=

111111

 

B) Each letter a , b, c here stands for a number.

                                      a a a

                             x        a a a

                             ----------------

                                      a a a

                                    a a a 0

                                 a a a 0 0

                             -------------

                                a b c b a

                             -------------

Take a = 1, then find what the numbers b and c will be.

1 1 1

                             x        1 1 1

                             ----------------

                                      1 1 1

                                    1 1 1 0

                                 1 1 1 0 0

                             -------------

                                1 2 3 2 1

                             -------------

If a = 1, then b = 2 and c = 3.

C) Tricks with your age.

Write your age               = 11

Multiply it by 7               = 11 X 7 = 77

Again multiply the answer by 13       = 77 X 13 = 1001

Multiply again that answer by 11       = 1001 X 11 = 11011

Yes, I can find my age in that answer.

My age shows two times in the answer.

 

D) Going round and round!

 

142857

      X 1

142857

      X 2

142857

      X 3

142857

      X 4

142857

      X 5

---------

142857

---------

---------

285714

---------

---------

428571

---------

---------

571428

---------

---------

714285

---------

 

Division

Practice Time

Try to solve these using as few steps as you can.

a) 4228 ÷ 4

                             1000+50+7= 1057

                             -----------------

                             44228

                                  4000

                             -------------

                                      228

                                      200

                             ---------------

                                        28

                                        28

                             --------------

                                          0

b) 770 ÷ 22

                                   30+5 = 35

                                   -----------------

                             22770

                                    660

                             ---------------

                                      110

                                      110

                             -------------

                                      0

c) 9872 ÷ 8

                             1000+200+30+4=1234

                             ----------------

                             89872

                                 8000

                             ----------

                                 1872

                                 1600

                             ----------

                                   272

                                   240

                             ----------

                                      32

                                      32

                             -----------

                                      0

d) 672 ÷ 21

                             30+2=32

                             -----------

                             21672

                                   630

                             ----------

                                     42

                                     42

                             -----------

                                      0

e) 772 ÷ 7

                             100+10=110

                             ------------

                             7772

                                 700

                             ---------

                                    72

                                    70

                             ---------

                                      2

f) 639 ÷ 13

                             40+9=49

                             -------------

                             13639

                                   520

                             -----------

                                   119

                                   117

                             ----------

                                      2

How much Petrol?

Isha has Rs 1000 with her. She wants to buy petrol. One litre of petrol costs Rs 47. How many litres can she buy?

Solution:

Money with Isha = Rs 1000

Cost of 1 litre = Rs 47

Litres of petrol she can buy = Rs 1000 ÷ 47                                    

 

                   47 1000 10 +10+1 = 21

                          470

                   -------------

                           530

                          470

                    -------------

                            60

                              47

                   --------------

                               13

Hence Isha can buy 21 litres of petrol.

 

Practice Time

1)  576 books are to be packed in boxes. If one box has 24 books, how many boxes are needed?

Solution:

Total books = 576

No. of books in 1 box = 24

Therefore, total boxes needed = 576 ÷ 24

                                      24576 │24

                                          - 48

                                      ----------

                                                96

                                      -        96

                                      ------------

                                                0

                                      --------------

Hence 24 boxes are needed to pack 576 books.

2) 836 people are watching a movie in a hall. If the hall has 44 rows, how many people can sit in 1 row?

Solution:

Total people watching movie = 836

Total rows in the hall = 44

Therefore, total people in 1 row = 836 ÷ 44

                                      44836│19

-        44

----------

  396

- 396

---------

       0

----------

Hence, 19 people can sit in 1 row.

3) A gardener bought 458 apple trees. He wants to plant 15 trees in each row. How many rows can he plant?

How many trees would be left over?

Solution:

Total plants to be planted = 458

Total plants in 1 row = 15

Therefore, total rows = 458 ÷ 15

                             15458│30

                             -    45

                   -------------------

                                     08

                             -        0

                   ---------------------

                                      8

                             -----------

Hence, he can plant 30 rows and 8 plants will be left over.

Brain Teaser

Shyamli bought a battery. She read on it ‘Life: 2000 hours’. She uses it throughout the day and the night. How many days will the battery run?

Solution:

24 hours = 1 day

2000 hours = 2000 ÷ 24

                                      242000│83

                                       -    192

                                      ------------

                                                80

                                      -        72     

                                      -------------

                                                   8

The battery will run 83 days and 8 hours.                                      

More with Multiplication and Division

1. A tank is full of 300 L of water. How much water will be filled in 25 tanks? If 15 buckets can be filled with one tank of water, how many buckets in all can be filled with the water in 25 tanks?

Solution:

Step 1

Water is filled in 1 tank = 300 L

Therefore, water will be filled in 25 tanks = 300 x 25

                                                                   = 7500 L

Step 2

1 tank of water = 15 buckets

Therefore, 25 tanks of water = 15 X 25 = 375 buckets

Hence 375 buckets in all can be filled with the water in 25 tanks.

2. There are 28 laddoos in 1 kg. How many laddoos will be there in 12 kg? If 16 laddoos can be packed in 1 box , how many boxes are needed to pack all these laddoos?

Solution:

Step 1

 There are laddoos in 1 kg = 28

Therefore total laddoos in 12 kg = 28 X 12

                                                    = 336 laddoos.

Step 2

16 laddoos can be packed = 1 packet

Therefore, 336 laddoos will be packed = 336 ÷ 16

                                      16336│21

                                        -  32

                                      ----------

                                                16

                                      -        16

                                      ----------

                                                0

Hence, 21 boxes are needed to pack all these laddoos.

3. There are 26 rooms in a school. Each room has 4 plants. If each plant needs 2 cups of water, how much water do we need for all the plants?

Solution:

Step 1

Number of plants in 1 room = 4

Therefore, number of plants in 26 rooms = 4 X 26

                                                                   = 104 plants

Step 2

Water needed for 1 plant = 2 cups

Therefore, water needed for 104 plants = 2 X 104

                                                                = 208 cups

Hence, 208 cups of water are needed for all the plants.

Make the Best Story Problem

Each line gives a story. You have to choose the question which makes the best story problem.

1) A shopkeeper has 50 boxes. There are 48 fruits in one box.

Tick the one question which matches with the given problem.

a) How much will the shopkeeper pay in all?

b) How many fruits are there in all?

c) How many more boxes will he need?

Answer: How many fruits are there in all?

2 ) 352 children from a school went on a camping trip. Each tent had a group of 4 children.

a) How many children did each tent have?

b) How many tents do they need?

c) How many children in all are in the school?

Answer: How many tents do they need?

3) A shopkeeper has 204 eggs. He puts them in egg trays. Each tray has 12 eggs.

a) How many more eggs will he need?

b) How many fresh eggs does he sell?

c) How many egg trays does he need?

Answer: How many egg trays does he need?

4) The cost of one book is Rs 47. Sonu buys 23 books.

a) How much money does she have?

b) How much money does she pay for the books?

c) What is the cost of 47 books?

Answer: How much money does she pay for the books?

Practice Time

Do these divisions. Check your results by multiplication.

a) 438 ÷9

                                   943848

                              -  36

                             ---------

                                   78

                                   72

                             --------

                                     6

                             --------

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 9 X 48 ) + 6

                   = 432 + 6 = 438 = Dividend

b) 3480 ÷12

                             123480│290

                                - 24

                             ------------

                                   108

                                   108

                             ------------

                                        0

                                        0

                             -------------

                                        0

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 12 X 290 ) + 0

                   = 3480 + 0 = 3480 = Dividend

c) 450 ÷7

                             7450│64

                                 42

                             --------

                                   30

                                   28

                             --------

                                      2

                             ---------

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 7 X 64 ) + 2

                   = 448 + 2 = 450 = Dividend

d) 900 ÷10

                   10900│90

                        90

                   ----------

                           00

                           00

                   ----------

                             0

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 10 X 90 ) + 0

                   = 900 + 0 = 900 = Dividend

e) 678 ÷ 6

                             6678│113

                                 6

                             --------

                                   7

                                   6

                             -------

                                   18

                                   18

                             --------

                                      0

 

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 6 X 113 ) + 0

                   = 678 + 0 = 678 = Dividend

f) 2475 ÷11

                             112475│225

                                  22

                             ----------

                                    27

                                    22

----------

         55

         55

----------

          0

Check : Dividend = (Divisor X Quotient) + Remainder

                   = ( 11 X 225 ) + 0

                   = 2475 + 0 = 2475 = Dividend 

2. Solve the given sums and colour the answers in the grid given below. See what you find.

21 X 16 = 336

26 X 26

                   26

          X       26

          -------------

                   156    ( 26 X 6 )

                   520    ( 26 X 20 )

          ---------------

                   676

 

85 X 30 = 2550

432 ÷18

                             1843224

                             -    36

                             ----------

                                     72

                                     72

                             ----------

                                      0

288 ÷4

                             428872

                             -   28

                             --------

                                      8

                                      8

                             ---------

                                      0

15 X 7 = 105

77 X 10 = 770

64 X 42

                   64

          X       42

          --------------

                   128    ( 64 X 2 )

                 2560    ( 64 X 40 )

          --------------

                 2688

729 ÷9

                   972981

                   -   72

                   ---------

                             9

                             9

                   ----------

                             0

869 ÷11

                   1186979

                     -  77

                   --------

                          99

                          99

                   --------

                             0

93 X 2 = 186

50 X 10 = 500

3200 ÷40

                   40│3200│80

                   -     320

                   -------------

                               00

                               00

                   -------------

                                 0

825 ÷ 5

                   5825165

                   -   5

                   ----------

                        32

                        30

                   ----------

                          25

                          25

                   -----------

                             0

847 ÷ 7

                   7847121

                   -   7

                   ----------

                        14

                         14

                   -----------

                             07

                               7

                   -----------

                               0

17 X 5 = 85

11 X 11 = 121

19 X 3 = 57

221 ÷ 13

                   1322117

                   -    13

                   ----------

                          91

                          91

                   ----------

                             0

981 ÷ 3

                   3981327

                   -   9

                   --------

                         08

                           6

                   ---------

                             21

                             21

                   ----------

                             0

10 X 10 = 100

59 X 7 = 413

248 ÷ 8

                   8│248│31

                   -   24

                   ----------

                          08

                             8

                   -----------

                                0

576 ÷ 12

                   1257648

                   -    48

                   ----------

                           96

                           96

                   ----------

                             0

475 ÷ 19

                   1947525

                   -    38

                   ----------

                           95

                           95

                   ----------

                             0

31 X 19  = 589

 

545

110

434

642

709

623

919

341

12

168

984

16

561

608

236

413

529

62

259

905

709

907

367

632

336

121

492

178

431

25

166

806

584

186

100

589

72

717

248

676

624

82

105

24

165

17

85

770

327

500

247

997

485

2688

81

80

48

901

126

121

742

427

756

531

79

2550

347

1001

314

57

945

1000

687

854

1200

31

124

3126

918

53

109

799

845

1999

864

955

123

1234

678

56

549

459

614

1864

834

559

900

1111

268

171

 

 

 

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