In International place-value system, there are three periodsnamely Ones, thousands and millions for the nine places from right to left.Ones period is made up of three place-values. Ones, tens, and hundreds. Thenext period thousands is made up of one, ten and hundred-thousands. The nextperiod thousands is made up of one, ten and hundred-thousands. The patterncontinues and the next three places make millions period. So, writing a numberin international place-value system, we insert commas after every three digitsfrom the right.
To read the number, we read all the digits together in the same period followed by the name of the period from left to right.
IndianPlace-value Chart 1,00,000 One lakh 10,00,000 Ten lakh 1,00,00,000 One crore 10,00,00,000 Ten crore | International Place-value Chart 1,00,000 One hundred thousand 10,00,000 One million 1,00,00,000 Ten million 10,00,00,000 One hundred-million |
Solved Examples on International Place-value Chart:
1.Place commas and name the following numbers using international place-value system.
(i) 62509842 (ii) 712984301
Solution:
(i) 62509842
Let us arrange the digits in the place-value chart.
Sixty-two million, five hundred nine thousand, eight hundred forty-two.
(ii) 712984301
Let us arrange the digits in the place-value chart.
Seven hundred twelve million, nine hundred eighty-four thousand, three hundred one.
2.Write the numeral 746504207 by inserting commas to separate periods in Indian and International system.
Solution:
We enter each digit according to its place in the following Indian place-value chart.
The number is written as 74,65,04,207.
The number is read as seventy-four crore, sixty-five lakh, four thousand, two hundred seven.
We now enter each digit according to its place in the following International place-value chart.
The number is written as 746,504,207.
The number is read as seven hundred forty-six million, five hundredfour thousand, two hundred seven.
3. Put the commas at the right place to change the numbersgiven in Indian system to International system of numeration.
(i) 3,05,08,943
(ii) 2,28,86,073
(iii) 1,54,87,222
(iv) 7,75,92,000
(v) 81,80,32,622
Solution:
(i) 30,508,943
(ii) 22,886,073
(iii) 15,487,222
(iv) 77,592,000
(v) 818,032,622
4. Write the number for the given number names.
(i) Three million forty-five thousand six hundred fourteen: __________
(ii) Twenty-two million three hundred eighty-two thousandfive hundred six: __________
(iii) Nine hundred four million five hundred twelve thousandsix hundred forty: __________
(iv) Nine hundred ninety-nine million four hundred seventy-ninethousand three hundred ninety-two: __________
(v) One hundred million two thousand thirty: __________
Solution:
(i) 3,045,614
(ii) 22,382,506
(iii) 904,512,640
(iv) 999,479,392
(v) 100,002,030.
5. Complete the given table according to Internationalsystem of numeration.
S.No. | Numeral | Number Name |
(i) | 37,824,500 | |
(ii) | Two hundred thirty-six million four hundred fifty-two thousand seven hundred elevel. | |
(iii) | 585,893,057 | |
(iv) | Two hundred twelve million two thousand twenty. | |
(v) | 980,089,090 |
Solution:
S.No. | Numeral | Number Name |
(i) | 37,824,500 | Thirty seven million, eight hundred twenty-four thousand, five hundred. |
(ii) | 236,452,711 | Two hundred thirty-six million four hundred fifty-two thousand seven hundred elevel. |
(iii) | 585,893,057 | Five hundred eighty-five million, eight hundred ninety-three thousand, fifty-seven. |
(iv) | 212,002,020 | Two hundred twelve million two thousand twenty. |
(v) | 980,089,090 | Nine hundred eighty million, eighty-nine thousand, ninety. |
6.Form a number with:
2 at ten thousands place
0 at ten millions place
4 at thousands place
6 at ones place
7 at hundreds place
0 at tens place
8 at millions place
7 at hundred-millions place
7 at hundred-thousands place
Answer:708,724,706
7.Form a number with:
5 at hundred-millions place
5 at ten-thousands place
6 at hundreds place
4 at ones place
0 at millions place
9 at tens place
1 at ten-millions place
2 at hundred-thousands place
0 at thousands place
Answer:510,250,694
Indian System Vs. International System
There are two systems of place value chart, i.e., one is the Indian System of Numeration and the other is International System of Numeration.
Examples:
1. Compare the number names of 815253631, 925454723 and 533254328 by writing them in Indian System as well as International System of numeration.
Solution:
Indian System | International System | |
(i) | 81,52,53,631 Eighty-one crore fifty-two lakh fifty-three thousand six hundred thirty-one | 815,253,631 Eight hundred fifteen million two hundred fifty-three thousand six hundred thirty-one. |
(ii) | 92,54,54,723 Ninety-two crore fifty-four lakh fifty-four thousand seven hundred twenty-three | 925,454,723 Nine hundred twenty five million four hundred fifty-four thousand seven hundred twenty-three |
(iii) | 53,32,54,328 Fifty-three crore thirty-two lakh fifty-four thousand three hundred twenty-eight | 533,254,328 Five hundred thirty-three million two hundred fifty-four thousand three hundred twenty-eight |
2. The difference between the place values of 8 in 718281579
(a) 8,000,000
(b) 7,920,000
(c) 80,000
(d) 800,000
Solution:
The given number is 718281579.
The place value of 8 in millions place = 8,000,000.
Place value of 8 in ten thousands place = 80,000.
Therefore, the difference between the place values of 8
= 8,000,000 - 80,000 = 7,920,000
Hence, the difference between the place values of 8 in 718281579 is 7,920,000.
So, the option (b) is correct, which is the required answer.
Worksheet onInternational Place-value Chart:
1. Convert the followingInternational System into Indian System:
(1) 800,123,457
(ii) 73,254,263
(iii) 225,725,328
(iv) 620,917
(ν) 293,287,531
Answer:
1.(1) 80,01,23,457→
Eighty crore one lakh twenty three thousand four hundred fifty seven.
(ii) 7,32,54,263→
Seven crore thirty two lakh fifty four thousand two hundred sixty three.
(iii) 22,57,25,328→
Twenty two crore fifty seven lakh twenty five thousand three hundred twenty eight.
(iv) 6,20,917→
Six lakh twenty thousand nine hundred seventeen.
(ν) 29,32,87,531→
Twenty nine crore thirty two lakh eighty seven thousand five hundred thirty one.
2. Find the difference between the place values of 9 in the following numbers:
(i) 90,469,881
(ii) 489,236,119
(iii) 3,949,562
(iv) 991,261,321
(ν) 580,986,912
Answer:
2.(i) 89,991,000
(ii) 8,999,991
(iii) 891,000
(iv) 810,000,000
(ν) 899,100
3. Write the following in the International System:
(i) 752003287
(ii) 12692852
(iii) 205008009
(iv) 92300813
(v) 150032872
Answer:
3.(i) 752,003,287→
Seven hundred fifty two million three thousand two hundred eighty seven.
(ii) 12,692,852→
Twelve million six hundred ninety two thousand eight hundred fifty two.
(iii) 205,008,009→
Two hundred five million eight thousand nine
(iv) 92,300,813→
Ninety two million three hundred thousand eight hundred thirteen.
(v) 150,032,872→
One hundred fifty million thirty two thousand eight hundred seventy two.
4. Compare the number names of the following numbers by writing them in Indian System as well as International System of numeration:
(i) 315233729
(ii) 523549426
Answer:
4.
Indian System | International System | |
(i) | 31,52,33,729 → Thirty one crore fifty twolakh thirty three thousandseven hundred twenty nine. | 315,233,729→ Three hundred fifteen million two hundred thirty threethousand seven hundred twenty nine. |
(ii) | 52,35,49,426→ Fifty two crore thirty fivelakh forty nine thousandfour hundred twenty six. | 523,549,426→ Five hundred twenty three million five hundred forty nine thousand four hundred twenty six. |
5. Choose the correct options.
The difference between the place values of 7 in 476,279,420 is
(a) 69,930,000
(b) 69,000,000
(c) 69,900,000
(d) 69,300,600
Answer:
5.(a) 69,930,000
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