RD Sharma Solutions Class 6 Knowing Our Numbers Exercise 1.2

RD Sharma Class 6 Solutions Chapter 1 Ex 1.2 PDF Free Download

RD Sharma Solutions Class 6 Chapter 1 Exercise 1.2

Exercise 1.2

Q1) Write each of the following numbers in digits by using international place value chart. Also, write them in expanded form.

i) Seven million three hundred three thousand two hundred six

Solution: The number is expanded as = 7 x 1,000,000 + 3 x 100,000 + 0 x 10,000 + 3 x 1,000 + 2 x 100 + 0 x 10 + 6 x 1

7,303,206

ii) Fifty five million twenty nine thousand seven

Solution: The number is expanded as = 5 x 10,000,000 + 5 x 1,000,000 + 0 x 100,000 + 2 x 10,000 + 9 x 1,000 + 0 x 100 + 0 x 10 + 7 x 1

= 55,029,007

iii) Six billion one hundred ten million three thousand seven

Solution: The number is expanded as = 6 x 1,000,000,000 + 1 x 100,000,000 + 1 x 10,000,000 + 0 x 1,000,000 + 0 x 100,000 + 0 x 10,000 + 3 x 1,000 + 0 x 100 + 0 x 10 + 7 x 1

= 6,110,003,007

Q2) Rewrite each of the following numerals with proper commas in the international system of numeration

i) 513625

Solution: By using the commas to separate periods the numeral 513625 can be written as 513,625 and is read as “Five hundred thirteen thousand six hundred twenty five”.

ii) 4035672

Solution: By using the commas to separate periods the numeral 4035672 can be written as 4,035,672 and is read as “Four million thirty five thousand six hundred seventy two”.

iii) 65954923

Solution: By using the commas to separate periods the numeral 65954923 can be written as 65,954,923 and is read as “Sixty five million nine hundred fifty four thousand nine hundred twenty three”.

iv) 70902005

Solution: By using the commas to separate periods the numeral 70902005 can be written as 70,902,005 and is read as “Seventy million nine hundred two thousand five”.

Q3) Write each of the following numbers in the international system of numeration:

i) Forty three lakh four thousand eighty four.

Solution: “Forty three lakh four thousand eighty four” can be written in Indian System of numeration as 43,04,084.

In International system of numeration it can be written as

4,304,084

This is read as “Four million three hundred four thousand eighty four”.

ii) Six crore thirty four lakh four thousand forty four.

Solution: “Six crore thirty four lakh four thousand forty four” can be written in Indian System of numeration as 6,34,04,044.

In International system of numeration it can be written as

63,404,044

This is read as “Sixty three million four hundred four thousand forty four”.

iii) Seven lakh thirty five thousand eight hundred ninety nine only.

Solution: “Seven lakh thirty five thousand eight hundred ninety nine” can be written in Indian System of numeration as 7,35,899.

In International system of numeration it can be written a

735,899

This is read as “Seven hundred thirty five thousand eight hundred ninety nine”.

Q4) Write the following numbers in the Indian system of numeration:

i) Six million five hundred forty three thousand two hundred ten.

Solution: The given number can be written in digits as 6,543,210

In the Indian System of numeration it can be written as 65,43,210.

It is read as “Sixty five lakh forty three thousand two hundred ten”.

ii) Seventy six million eighty five thousand nine hundred eighty seven

Solution: The given number can be written in digits as 76,085,987

In the Indian System of numeration it can be written as 7,60,85,987

It is read as “Seven crore sixty lakh eighty five thousand nine hundred eighty seven”.

iii) Three hundred twenty five million four hundred seventy nine thousand eight hundred thirty eight.

Solution: The given number can be written in digits as 325,479,838.

In the Indian System of numeration it can be written as 32,54,79,838.

It is read as “Thirty two crore fifty four lakh seventy nine thousand eight hundred thirty eight”.

Q5) A certain nine digit number has only ones in ones period, only twos in the thousands period and only threes in millions period. Write this number in words in the Indian system.

Solution: It is given that;

Only 1 in ones period

Only 2 in thousands period

Only 3 in thousands period

Thus the number is 333,222,111

In Indian system, the number is written as 33,32,22,111 which is read as “thirty three crore thirty two lakh twenty thousand one hundred and eleven”.

Q6) How many thousands make a million ?

Solution: One Thousand = 1,000

One Million = 1,000,000

No. of thousands make a million = One Million/One Thousand = 1,000,000/1,000 = 1,000

⇒ 1,000 thousands makes a million.

Q7) How many millions make a billion ?

Solution: One Million = 1,000,000

One Billion = 1,000,000,000

No. of millions make a billion = One Billion/One Million = 1,000,000,000/1,000,000 = 1,000

⇒ 1,000 millions make a billion.

Q8) (i) How many lakhs make a million?

Solution: One Lakhs = 1,00,000

One Million = 1,000,000

No. of lakhs make a million = One Million/One Lakhs = 1,000,000/1,00,000 = 10

⇒ 10 lakhs make a million.

ii) How many lakhs make billion?

Solution: One Lakhs = 1,00,000

One Billion = 1,000,000,000

No. of lakhs make a billion = One Billion/One Lakhs = 1,000,000,000/1,00,000 = 10,000

⇒ 10,000 lakhs make a billion.

Q9) Write each of the following in numerical form :

i) Eight million seven hundred eight thousand four.

Solution: The number is expanded as = 8 x 1,000,000 + 7 x 100,000 + 0 x 10,000 + 8 x 1000 + 0 x 100 + 0 x 10 + 4 x 1

= 8,708,004

ii) Six hundred seven million twelve thousand eighty four.

Solution: The number is expanded as = 6 x 100,000,000 + 0 x 10,000,000 + 7 x 1,000,000 + 0 x 100,000 + 1 x 10,000 + 2 x 1000 + 0 x 100 + 8 x 10 + 4 x 1

= 607,012,084

iii) Four billion twenty five million forty five thousand.

Solution: The number is expanded as = 4 x 1,000,000,000 + 0 x 100,000,000 + 2 x 10,000,000 + 5 x 1,000,000 + 0 x 100,000 + 4 x 10,000 + 5 x 1000 + 0 x 100 + 0 x 10 + 0 x 1

= 4,025,045,000

Q10) Write the number names of each of the following in international system of numeration:

i) 435,002

Solution: Four hundred thirty five thousand and two.

ii) 1,047,509

Solution: One million, forty-seven thousand, five hundred and nine

iii) 59,064,523

Solution: Fifty-nine million, sixty-four thousand, five hundred and twenty-three

iv) 25,201,905

Solution: Twenty-five million, two hundred one thousand, nine hundred and five

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