Selina Concise Solutions for ICSE Class 6 Mathematics Chapter 3 Numbers in India and International System

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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 = \( 6 \times 1000 = 6000 \)
the place value of 4 is 4 hundred = \( 4 \times 100 = 400 \)
the place value of 5 is 5 ten = \( 5 \times 10 = 50 \)
the place value of 3 is 3 one = \( 3 \times 1 = 3 \)

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. 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 = ……………..

Answer: (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. Write the following numbers, placing the commas, according to Indian system :
(i) 835629 = …………
(ii) 35640254 = …………
(iii) 2826040 = ………

Answer: (i) 835629 = 8, 35, 629
(ii) 35640254 = 3, 56, 40, 254
(iii) 2826040 = 28, 26, 041

Question. Write the following numbers, by placing the commas, according to International system :
(i) 6509820 = ………..
(ii) 428140584 = …………
(iii) 63560981 = ……….

Answer: (i) 6509820 = 6, 509, 820
(ii) 428140584 = 428, 140, 584
(iii) 63560981 = 63, 560, 981

Question. 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)

Answer: (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. 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)

Answer: (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