ADDITIONAL QUESTIONS AND ANSWERS:

Q1.Use the given digits without repetition and make the greatest and the smallest five digit number.

a)6,2,4,8,5                   c)4,9,3,1,7       e)3,0,9,8,6

b)7,0,1,2,6                   d)1,6,7,2,5

 

Ans.    
a) 6,2,4,8,5
Greatest digit – 86542
Smallest digit – 24568

b)7,0,1,2,6
 Greatest digit – 76210
Smallest digit – 01267

 

c)4,9,3,1,7
Greatest digit – 97431
Smallest digit – 13479

 

d)1,6,7,2,5
Greatest digit – 76521
Smallest digit – 12567

 

e)3,0,9,8,6
Greatest digit – 98630
Smallest digit – 03689

 

Q2.Arrange the following in ascending order as well as in descending order

a)1897 , 3957 , 1788 , 2854 , 2653

b)2631 , 1972 , 3491 , 993 , 1692

c)7542 , 5700 , 1492 , 6349 , 4210

d)8320 , 1271 , 5641 , 9372 , 4267

Ans.
a) Ascending order:-1788 , 1897 , 2653 , 2854 , 3957
Descending order: – 3957 , 2854 , 2653 , 1897 , 1788

b) Ascending order: – 993 , 1692 , 1972 , 2631 , 3491
Descending order:-3491 , 2631 , 1972 , 1692 , 993

c)  Ascending order:-1492 , 4210 , 5700 , 6349 , 7542
Descending order: – 7542 , 6349 , 5700 , 4210 , 1492

d) Ascending order:-1271 , 4267 , 5641 , 8300 , 9372
Descending order:-9371 , 8320 , 5641 , 4267 , 1271

Q3.Write the following in Roman numerals
a)92          b)49               c) 72                  d)36              e)75                 f)84

Ans.    
a) 92 = 90 + 2                                       b) 49 = 40 + 9
= (100 – 10) + 2                                         = (50 – 10) + 9
= XCII                                                          = XLIX

 

           

c) 72 = 70 +2                           d)   36 = 30 + 6
    = (50 + 20) +2                            = (10 + 10 + 10) + 6
    = LXXII                                        = XXXVI

           

           
 e)75 = 70 + 5                             f) 84 = 80 + 4
    = (50 + 20) + 5                               = (50 + 30) + 4
    = LXXV                                           = LXXXIV

           

           

           

Q3.Write the following numbers in expanded form

a) 762   b)483                    c)7432                   d)5654

Ans.                
a)762 = 7 x 100 + 6 x 10 + 2 x 1
b)483 = 4 x 100 + 8 x 10 + 3 x 1
c)7432 =7 x 1000 + 4 x 100 + 3 x 10 + 2 x 1
d)5654 = 5 x 1000 + 6 x 100 + 5 x 10 + 4 x 1

 

Q4.Insert commas suitably and write the name accordingly to Indian system of numeration:-

a) 5749030         b)74920621                c)83240209

Ans.
a)57,49,030 – Fifty seven lakh forty nine thousand thirty
b)7,49,20,621 – Seven crore forty nine lakh twenty thousand six hundred twenty one
c)8,32,40,209 – Eight crore thirty two lakh forty thousand two hundred nine.

 

Q5.Insert commas suitably and write the names according to International system of numeration:

a) 52461390      b)64275138                  c)4702065

Ans.
a)52,461,390 – Fifty two million four hundred sixty one thousand three hundred ninety.
b) 64,275,138 – Sixty four million two hundred seventy five thousand one hundred thirty eight.
c)4,702,065 – Four million seven hundred two thousand sixty five.

 

Q6.Estimate the following products:
a) 87 x 313           b) 958 x 387             c) 9 x 465          d) 698 x 485            e) 48 x 79
Ans.
a) 87 x 313
Rounding off  to tens
87 = 90   ,   313 =310
∴The product is = 90 x 310 = 27900

 

b) 958 x 387
Rounding off to hundred
958 = 1000   ,    387 = 400
∴The product is = 1000 x 400 = 400000

 

c) 9 x 465
Rounding off to tens
9 = 10    ,    465 = 470
∴The product is = 10 x 470 = 4700

 

d) 48 x 79
Rounding off to tens
48 = 50  ,    79 = 80
∴The product is = 50 x 80 = 4000

 

Q7.For a certain exhibition, the profit for the first week near Rs.8,700 , second week profit was Rs.13,200 , Rs.9,600 in the third week and Rs.6,500 in the fourth week. Calculate the total profit for all the four weeks

Ans. The profit in the 1st week = Rs.8,700
The profit in the 2nd week = Rs.13,200
The profit in the 3rd week = Rs.9,600
The profit in the 4th week = Rs. 6,500
Therefore the total profit for all the four weeks
=Rs 8,700 + Rs 13,200 + Rs 9600 + Rs 6500
=Rs 38,000

Q8. In a carton there are 12 bottles of water. Each bottle containing  1L 500ml of water. What will be the total litres of water in 25 cartons.

Ans. Quantity of water in 1 bottle = 1L 500ml
= 1 x 1000ml + 500 ml
= 1,500ml
Total amount of water in 1 carton = 1500ml x 12 bottles
= 18,000ml
Total litres of water in 25 cartons = 18,000 x 25
= 4,50,000ml
= 450L

 

Q9.In a jar there is 2560ml of juice. It has to be poured in 8 glasses. How much juice will be there in each glass.
Ans. Total juice in the jar = 2560ml
No of glasses to be filled= 8
Amount juice in each glass = 2560ml ÷ 8
= 320ml
∴320ml of juice will be there in each glass.

 

Q10.The capacity of a water tank is 450 litres. Express its capacity in millilitres.
Ans. 1 litre = 1000ml
∴450 litres = 450L x 1000ml
= 4,50,000ml
∴The capacity of the water tank is 4 lakh 50 thousand millilitres.