# International Place-value Chart

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 lakh10,00,000        Ten lakh1,00,00,000     One crore10,00,00,000    Ten crore International Place-value Chart 1,00,000         One hundred thousand10,00,000       One million1,00,00,000    Ten million10,00,00,000   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

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

## 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) 81,52,53,631Eighty-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) 92,54,54,723Ninety-two crore fifty-four lakh fifty-four thousand seven hundred twenty-three 925,454,723Nine hundred twenty five million four hundred fifty-four thousand seven hundred twenty-three (iii) 53,32,54,328Fifty-three crore thirty-two lakh fifty-four thousand three hundred twenty-eight 533,254,328Five 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 on International Place-value Chart:

1. Convert the following International System into Indian System:

(1) 800,123,457

(ii) 73,254,263

(iii) 225,725,328

(iv) 620,917

(ν) 293,287,531

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

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

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

4.

 Indian System International System (i) 31,52,33,729 → Thirty one crore fifty two lakh thirty three thousand seven hundred twenty nine. 315,233,729 →Three hundred fifteen million two hundred thirty three thousand seven hundred twenty nine. (ii) 52,35,49,426 → Fifty two crore thirty five lakh forty nine thousand four 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

5. (a) 69,930,000

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