In International place-value system, there are three periods namely 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. The next period thousands is made up of one, ten and hundred-thousands. The next period thousands is made up of one, ten and hundred-thousands. The pattern continues and the next three places make millions period. So, writing a number in international place-value system, we insert commas after every three digits from 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.
Indian
Place-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 hundred four thousand, two hundred seven.
3. Put the commas at the right place to change the numbers
given 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 thousand five hundred six: __________
(iii) Nine hundred four million five hundred twelve thousand six hundred forty: __________
(iv) Nine hundred ninety-nine million four hundred seventy-nine thousand 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 International system 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
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