Selina Textbook Solutions: Numbers in India and International System | Mathematics Class 6 ICSE PDF Download

 Page 1


IMPORTANT POINTS 
1. Place -Value (Local Value) : The place – value (Local-value) of a digit depends 
upon the position, it occupies in the number: 
For example : 
In the number 6453 the place value of 6 is 6 thousand = 6 x 1000 = 6000 
the place value of 4 is 4 hundred = 4 x 100 = 400 
the place value of 5 is 5 ten = 5 x 10 = 50 
the place value of 3 is 3 one = 3 x 1=3 
2. Face -Value (True-Value) : Each digit in a number has a fixed value, regardless 
to its position in the number 
For Example : 
In the above number 6453 
Face of value of 6 is 6, 4 is 4, 5 is 5 and 3 is 3 
3. An Abstract Number : Which does not refer to any particular unit e.g., 3, 5, 9. 
4. A Concrete Number : Which refers to particular unit e.g., 3 boys, 5 girls, 9 rooms 
etc. 
The smallest (least) one digit Number is 1. 
The largest (greatest) one digit number is 9. 
EXERCISE 3 
Question 1. 
Write the following numerals using Indian System words or International system (as 
required in words) : 
(i) 4, 35, 342 = ………….. 
(ii) 36, 71, 430 = ………….. 
(iii) 4, 28, 30, 004 = ………….. 
(iv) 75, 132, 684 = …………… 
(v) 815, 906 = ……………. 
(vi) 5, 420, 700 = …………….. 
Solution: 
(i) 4, 35, 342 = four lakh, thirty five thousand, three hundred forty two 
(ii) 36, 71, 430 = Thirty six lakh, seventy one thousand four hundred thirty 
(iii) 4, 28, 30, 004 = four crore, twenty eight lakh, thirty thousand four 
(iv) 75, 132, 684 = Seventy five million, one hundred thirty two thousand, six hundred 
eighty four 
(v) 815, 906 = Eight hundred fifteen thousand, nine hundred six 
(vi) 5, 420, 700 = Five million, four hundred twenty thousand, seven hundred 
Question 2. 
Write the following numbers, placing the commas, according to Indian system : 
(i) 835629 = ………… 
(ii) 35640254 = ………… 
(iii) 2826040 = ……… 
Page 2


IMPORTANT POINTS 
1. Place -Value (Local Value) : The place – value (Local-value) of a digit depends 
upon the position, it occupies in the number: 
For example : 
In the number 6453 the place value of 6 is 6 thousand = 6 x 1000 = 6000 
the place value of 4 is 4 hundred = 4 x 100 = 400 
the place value of 5 is 5 ten = 5 x 10 = 50 
the place value of 3 is 3 one = 3 x 1=3 
2. Face -Value (True-Value) : Each digit in a number has a fixed value, regardless 
to its position in the number 
For Example : 
In the above number 6453 
Face of value of 6 is 6, 4 is 4, 5 is 5 and 3 is 3 
3. An Abstract Number : Which does not refer to any particular unit e.g., 3, 5, 9. 
4. A Concrete Number : Which refers to particular unit e.g., 3 boys, 5 girls, 9 rooms 
etc. 
The smallest (least) one digit Number is 1. 
The largest (greatest) one digit number is 9. 
EXERCISE 3 
Question 1. 
Write the following numerals using Indian System words or International system (as 
required in words) : 
(i) 4, 35, 342 = ………….. 
(ii) 36, 71, 430 = ………….. 
(iii) 4, 28, 30, 004 = ………….. 
(iv) 75, 132, 684 = …………… 
(v) 815, 906 = ……………. 
(vi) 5, 420, 700 = …………….. 
Solution: 
(i) 4, 35, 342 = four lakh, thirty five thousand, three hundred forty two 
(ii) 36, 71, 430 = Thirty six lakh, seventy one thousand four hundred thirty 
(iii) 4, 28, 30, 004 = four crore, twenty eight lakh, thirty thousand four 
(iv) 75, 132, 684 = Seventy five million, one hundred thirty two thousand, six hundred 
eighty four 
(v) 815, 906 = Eight hundred fifteen thousand, nine hundred six 
(vi) 5, 420, 700 = Five million, four hundred twenty thousand, seven hundred 
Question 2. 
Write the following numbers, placing the commas, according to Indian system : 
(i) 835629 = ………… 
(ii) 35640254 = ………… 
(iii) 2826040 = ……… 
Solution: 
(i) 835629 = 8, 35, 629 
(ii) 35640254 = 3, 56, 40, 254 
(iii) 2826040 = 28, 26, 041 
Question 3. 
Write the following numbers, by placing the commas, according to International system : 
(i) 6509820 = ……….. 
(ii) 428140584 = ………… 
(iii) 63560981 = ………. 
Solution: 
(i) 6509820 = 6, 509, 820 
(ii) 428140584 = 428, 140, 584 
(iii) 63560981 = 63, 560, 981 
Question 4. 
Fill in the blanks : 
(i) Four lakh sixty seven thousand three hundred six. 
= ……………… (In numeral form) 
= …………… (In International System) 
= ……………. (In International numeration) 
(ii) Thirteen lakh forty five. 
= ……………. (In numeral form) 
= ……………. (In International System) 
= ……………. (In International numerals) 
Solution: 
(i) Four lakh sixty seven thousand three hundred six 
= 4, 67, 306 
= 467, 306 
= Four hundred sixty seven thousand three hundred six 
(ii) Thirteen lakh forty five 
= 13, 00, 45 
= 130, 045 
= One hundred thirty thousand forty five 
Question 5. 
Fill in the blanks : 
(i) Six hundred four thousand eight hundred forty seven. 
= ……………. (In numeral form) 
= ……………. (In Indian System) 
= ……………… (Number name in Indian System) 
(ii) Two million three hundred ten thousand one hundred four 
= …………….. (In numeral form) 
= …………… (In Indian System) 
= ……………. (In Indian numeration) 
= …………….. (In international numerals) 
Page 3


IMPORTANT POINTS 
1. Place -Value (Local Value) : The place – value (Local-value) of a digit depends 
upon the position, it occupies in the number: 
For example : 
In the number 6453 the place value of 6 is 6 thousand = 6 x 1000 = 6000 
the place value of 4 is 4 hundred = 4 x 100 = 400 
the place value of 5 is 5 ten = 5 x 10 = 50 
the place value of 3 is 3 one = 3 x 1=3 
2. Face -Value (True-Value) : Each digit in a number has a fixed value, regardless 
to its position in the number 
For Example : 
In the above number 6453 
Face of value of 6 is 6, 4 is 4, 5 is 5 and 3 is 3 
3. An Abstract Number : Which does not refer to any particular unit e.g., 3, 5, 9. 
4. A Concrete Number : Which refers to particular unit e.g., 3 boys, 5 girls, 9 rooms 
etc. 
The smallest (least) one digit Number is 1. 
The largest (greatest) one digit number is 9. 
EXERCISE 3 
Question 1. 
Write the following numerals using Indian System words or International system (as 
required in words) : 
(i) 4, 35, 342 = ………….. 
(ii) 36, 71, 430 = ………….. 
(iii) 4, 28, 30, 004 = ………….. 
(iv) 75, 132, 684 = …………… 
(v) 815, 906 = ……………. 
(vi) 5, 420, 700 = …………….. 
Solution: 
(i) 4, 35, 342 = four lakh, thirty five thousand, three hundred forty two 
(ii) 36, 71, 430 = Thirty six lakh, seventy one thousand four hundred thirty 
(iii) 4, 28, 30, 004 = four crore, twenty eight lakh, thirty thousand four 
(iv) 75, 132, 684 = Seventy five million, one hundred thirty two thousand, six hundred 
eighty four 
(v) 815, 906 = Eight hundred fifteen thousand, nine hundred six 
(vi) 5, 420, 700 = Five million, four hundred twenty thousand, seven hundred 
Question 2. 
Write the following numbers, placing the commas, according to Indian system : 
(i) 835629 = ………… 
(ii) 35640254 = ………… 
(iii) 2826040 = ……… 
Solution: 
(i) 835629 = 8, 35, 629 
(ii) 35640254 = 3, 56, 40, 254 
(iii) 2826040 = 28, 26, 041 
Question 3. 
Write the following numbers, by placing the commas, according to International system : 
(i) 6509820 = ……….. 
(ii) 428140584 = ………… 
(iii) 63560981 = ………. 
Solution: 
(i) 6509820 = 6, 509, 820 
(ii) 428140584 = 428, 140, 584 
(iii) 63560981 = 63, 560, 981 
Question 4. 
Fill in the blanks : 
(i) Four lakh sixty seven thousand three hundred six. 
= ……………… (In numeral form) 
= …………… (In International System) 
= ……………. (In International numeration) 
(ii) Thirteen lakh forty five. 
= ……………. (In numeral form) 
= ……………. (In International System) 
= ……………. (In International numerals) 
Solution: 
(i) Four lakh sixty seven thousand three hundred six 
= 4, 67, 306 
= 467, 306 
= Four hundred sixty seven thousand three hundred six 
(ii) Thirteen lakh forty five 
= 13, 00, 45 
= 130, 045 
= One hundred thirty thousand forty five 
Question 5. 
Fill in the blanks : 
(i) Six hundred four thousand eight hundred forty seven. 
= ……………. (In numeral form) 
= ……………. (In Indian System) 
= ……………… (Number name in Indian System) 
(ii) Two million three hundred ten thousand one hundred four 
= …………….. (In numeral form) 
= …………… (In Indian System) 
= ……………. (In Indian numeration) 
= …………….. (In international numerals) 
Solution: 
(i) Six hundred four thousand eight hundred forty seven 
= 6, 04, 847 
= 604, 847 
= Six lakh four thousand eight hundred forty seven 
(ii) Two million three hundred ten thousand one hundred four 
= 2, 310, 104 
= 23, 10, 104 
= Twenty three lakh ten thousand one hundred four 
= 2, 310, 104