Class 5 Mathematics Notes, Exercise 3, Unit-1, Whole Numbers and Operations (New Book/New Syllabus Based on Single National Curriculum Pakistan 2022 and onwards)

Class: 5

Unit-1: Whole Numbers and Operations

EXERCISE 3 

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1. Multiply the following numbers by 10, 100, 1 000.

a)     381           b)    4 090          c)    97 509

d)    269 472      e)     852 118  

Key Fact:

• When we multiply a whole number by 10, we put one zero on the right side of the number
• When we multiply a whole number by 100, we put two zeros on the right side of the number
• When we multiply a whole number by 1 000, we put three zeros on the right side of the number

Solution: 

a)     381

381 ｘ 10 = 3 810 

381 ｘ 100 = 38 100

381 ｘ 1 000 = 381 000 

b)    4 090

4 090 ｘ 10 = 40 900 

4 090 ｘ 100 = 409 000

4 090 ｘ 1 000 = 4 090 000 

c)    97 509

97 509 ｘ 10 = 975 090 

97 509 ｘ 100 = 9 750 900

97 509 ｘ 1 000 = 97 509 000 

d)    269 472

269 472 ｘ 10 = 2 694 720 

269 472 ｘ 100 = 26 947 200

269 472 ｘ 1 000 = 269 472 000 

e)     852 118  

852 118 ｘ 10 = 8 521 180 

852 118 ｘ 100 = 85 211 800

852 118 ｘ 1 000 = 852 118 000 

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2. Divide the following numbers by 10, 100, and 1 000.

a)     49 000       b)    78 000          c)    65 000

d)    597 000      e)     210 000  

Key Fact:

• When we divide a whole number by 10, we remove one zero to the right side of the number
• When we divide a whole number by 100, we remove two zeros to the right side of the number
• When we divide a whole number by 1 000, we remove three zeros to the right side of the number

Solution: 

a)  49 000

49 000 ÷ 10 =  4 900

49 000 ÷ 100 = 490

49 000 ÷ 1 000 = 49

b)    78 000

78 000 ÷ 10 =  7 800

78 000 ÷ 100 = 780

78 000 ÷ 1 000 = 78

c)    65 000

65 000 ÷ 10 =  6 500

65 000 ÷ 100 = 650

65 000 ÷ 1 000 = 65

d)    597 000

597 000 ÷ 10 = 59 700 

597 000 ÷ 100 = 5 970

597 000 ÷ 1 000 = 597

e)     210 000  

210 000 ÷ 10 = 21 000

210 000 ÷ 100 = 2 100

210 000 ÷ 1 000 = 210 

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3. Solve the following.

a)  624 ｘ 23       b)   2 456 ｘ 90     c)   1 092 ｘ 981

d)  78 543 ｘ 49   e)  45 201 ｘ 561  f)   111 256 ｘ 342

f)  790 902 ｘ 643  g)   356 219 ｘ 101

Solution: 

a)  624 ｘ 23

b)   2 456 ｘ 90

c)   1 092 ｘ 981

d)  78 543 ｘ 49

e)  45 201 ｘ 561

f)   111 256 ｘ 342

g)  790 902 ｘ 643

h)   356 219 ｘ 101

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4. Solve the following.

a)  13 440 ÷ 15    b)   86 449 ÷ 29   c)   32 536 ÷ 56
d)  47 088 ÷ 48    e)  56 780 ÷ 20    f)   26 166 ÷ 98
g)  73 810 ÷ 11    h)   64 454 ÷ 32   

Solution: 

a)  13 440 ÷ 15

13 440 ÷ 15 = 896 --------Ans.

b)   86 449 ÷ 29

86 449 ÷ 29 = 2 981 ---------Ans.

c)   32 536 ÷ 56

32 536 ÷ 56 = 581 ---------Ans.

d)  47 088 ÷ 48

47 088 ÷ 48 = 981 ---------Ans.

e)  56 780 ÷ 20

56 780 ÷ 20 = 2 834 ---------Ans.

f)   26 166 ÷ 98

26 166 ÷ 98 = 267 ---------Ans.

g)  73 810 ÷ 11

73 810 ÷ 11 = 6 710 ---------Ans.

h)   64 454 ÷ 32

64 454 ÷ 32 = 2 014 (Remainder 6) ---------Ans.
 

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5. Aliya has Rs. 22 580. She wants to distribute it to 18 people.
a) How much money will each person get? 
b) How much money will be left?

Solution: 

a)

To find how much money will each person get, we will divide Rs. 22 580 by 18. So

Each person will get Rs. 1 254 equally.

b) The Remainder of Rs. 8 will be the money left with Alia.

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6. Omar's monthly income is Rs. 13 582. Find his total income in 3 years.

Solution: 

To find the total income in three years we will multiply the monthly income of Rs. 13 582 by 3. So

  

Thus the total income in three years is Rs. 40 746

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7. A toy factory manufactures 28 550 toys in 25 days. How many toys will it manufacture in one day?   

Solution: 

To find the number of toys manufactured in one day we will divide the number 28 550 by 25.

Thus the number of toys manufactured  in one day is 1  142

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8. Hammad bought one laptop, for Rs. 89 710. Find the price of 10 such laptops.

Solution: 

To find the price of 10 laptops when one laptop price is given, we will multiply the price by Rs. 89 710 by 10.

Thus the price of 10 laptops is Rs. 987 800

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9. There are 145 boxes of pencils each containing 5 pencils. If 48 boxes have blue pencils and the rest have red pencils, find: 
a) the total number of pencils.
b) the number of red pencils.

Solution: 

a) To find the total number of pencils we will multiply 145 by 5

Thus the total number of pencils is 725

b) To find the number of red pencils. we will first find blue pencils by multiplying 48 by 5 and will subtract it from the total number of pencils 725

Red Pencils = Total Pencils  - Blue Pencils 

Red Pencils = 725  - 240

Red Pencils = 485 ----------------Ans.

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