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Hint: In this question we are going to write the given numbers in words. Here we are going to follow the International system of numeration to write the given numbers in words as per mentioned in the question. As per the International system of numeration, the following rules are followed to write a number:
Start to assign commas from right, the first comma is placed after the hundreds place and then after every two digits commas are inserted to divide the numbers into periods.
2. As per the norms,
\[3\] zeroes represent a thousand
\[6\] zeroes represent a million
\[9\] zeroes represent a billion
\[5\] zeroes represent a lakh
\[7\] zeroes represent a crore
That is, the numbers from right to left are read as: one, ten, one-hundred, one-thousand, ten-thousand, hundred-thousand, one-million, ten-million, hundred-million, one-billion, ten-billion, hundred-billion.
Complete step-by-step answer:
In the International system of numeration, we start from right to left to insert a comma after every three digits. Thus, we divide the numbers into periods and read the period separately. Then, use place value, the rightmost digit is in one’s place, next digit is in ten’s place, next digit is in hundreds place and so on.
(a) \[78921092\]: Let’s insert commas in-between the numbers to divide into periods.
\[78{\text{,}}921{\text{,}}092\], now use place value to write in word format.
As per International system of numeration, \[78{\text{,}}921{\text{,}}092\] is read as Seventy-eight million nine hundred twenty one thousand ninety two.
(b) \[7452283\]: First insert commas and use place value.
\[7{\text{,}}452{\text{,}}283\] - Seven million four hundred fifty-two thousand two hundred eighty three.
(c) \[99985102\]: Insert comma and then place the value.
\[99{\text{,}}985{\text{,}}102\] - Ninety-nine million nine hundred eighty-five thousand one hundred two.
(d) \[48049831\]: First of all, insert commas and then place the value.
\[48{\text{,}}049{\text{,}}831\] - Forty-eight million forty-nine thousand eight hundred thirty one.
Thus numbers accordingly to International system of numeration:
(a) \[78{\text{,}}921{\text{,}}092\]: Seventy-eight million nine hundred twenty one thousand ninety two.
(b) \[7{\text{,}}452{\text{,}}283\] : Seven million four hundred fifty-two thousand two hundred eighty three.
(c) \[99{\text{,}}985{\text{,}}102\] : Ninety-nine million nine hundred eighty-five thousand one hundred two.
(d) \[48{\text{,}}049{\text{,}}831\] : Forty-eight million forty-nine thousand eight hundred thirty one.
Note: Numeral system, these are numbers written in words. The numbers in words are the alphabetical form of numbers. There are two different numeral systems: 1) International numeral system 2) Indian numeral system.
That is, the numbers from right to left are read as: one, ten, one-hundred, one-thousand, ten-thousand, one-lakh, ten-lakh, crore and so on.
Example: \[65267890\], write the number in numerals.
Indian numeral system - \[6,52,67,890\]: Six lakh fifty two thousand eight hundred and ninety.
International numeral system - \[65,267,890\]: Sixty-five million two hundred sixty-seven thousand eight hundred ninety.
The main difference between Indian and International numeral systems is the placement of commas and in the Indian numeral system, lakhs are written after thousands, whereas in the International numeral system, millions are written after thousands. That is,
Hundred thousand \[ = \] one lakh
One million \[ = \] Ten lakhs
Ten millions \[ = \] One crore
Hundred millions \[ = \] Ten crores.
Start to assign commas from right, the first comma is placed after the hundreds place and then after every two digits commas are inserted to divide the numbers into periods.
2. As per the norms,
\[3\] zeroes represent a thousand
\[6\] zeroes represent a million
\[9\] zeroes represent a billion
\[5\] zeroes represent a lakh
\[7\] zeroes represent a crore
That is, the numbers from right to left are read as: one, ten, one-hundred, one-thousand, ten-thousand, hundred-thousand, one-million, ten-million, hundred-million, one-billion, ten-billion, hundred-billion.
Complete step-by-step answer:
In the International system of numeration, we start from right to left to insert a comma after every three digits. Thus, we divide the numbers into periods and read the period separately. Then, use place value, the rightmost digit is in one’s place, next digit is in ten’s place, next digit is in hundreds place and so on.
(a) \[78921092\]: Let’s insert commas in-between the numbers to divide into periods.
\[78{\text{,}}921{\text{,}}092\], now use place value to write in word format.
As per International system of numeration, \[78{\text{,}}921{\text{,}}092\] is read as Seventy-eight million nine hundred twenty one thousand ninety two.
(b) \[7452283\]: First insert commas and use place value.
\[7{\text{,}}452{\text{,}}283\] - Seven million four hundred fifty-two thousand two hundred eighty three.
(c) \[99985102\]: Insert comma and then place the value.
\[99{\text{,}}985{\text{,}}102\] - Ninety-nine million nine hundred eighty-five thousand one hundred two.
(d) \[48049831\]: First of all, insert commas and then place the value.
\[48{\text{,}}049{\text{,}}831\] - Forty-eight million forty-nine thousand eight hundred thirty one.
Thus numbers accordingly to International system of numeration:
(a) \[78{\text{,}}921{\text{,}}092\]: Seventy-eight million nine hundred twenty one thousand ninety two.
(b) \[7{\text{,}}452{\text{,}}283\] : Seven million four hundred fifty-two thousand two hundred eighty three.
(c) \[99{\text{,}}985{\text{,}}102\] : Ninety-nine million nine hundred eighty-five thousand one hundred two.
(d) \[48{\text{,}}049{\text{,}}831\] : Forty-eight million forty-nine thousand eight hundred thirty one.
Note: Numeral system, these are numbers written in words. The numbers in words are the alphabetical form of numbers. There are two different numeral systems: 1) International numeral system 2) Indian numeral system.
That is, the numbers from right to left are read as: one, ten, one-hundred, one-thousand, ten-thousand, one-lakh, ten-lakh, crore and so on.
Example: \[65267890\], write the number in numerals.
Indian numeral system - \[6,52,67,890\]: Six lakh fifty two thousand eight hundred and ninety.
International numeral system - \[65,267,890\]: Sixty-five million two hundred sixty-seven thousand eight hundred ninety.
The main difference between Indian and International numeral systems is the placement of commas and in the Indian numeral system, lakhs are written after thousands, whereas in the International numeral system, millions are written after thousands. That is,
Hundred thousand \[ = \] one lakh
One million \[ = \] Ten lakhs
Ten millions \[ = \] One crore
Hundred millions \[ = \] Ten crores.
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