Question

According to the 2001 census, the number of peoples who spoke the following languages was:
Assamese: $13168484$
Hindi: $422048642$
Konkani: $2489015$
(a) Write the above numbers according to the Indian and International system of numeration.
(b) Write the above numbers in words according to the Indian system of numeration.
(c) Write the above numbers in words according to the International system of numeration.

Answer 1

Hint: Generally in Mathematics, the number system refers to a writing system to express the numbers in a unique manner. We shall discuss the Indian numeral system and International numeral system.
In Indian numeral system, the place value of digits is in the sequence as follows.
They are Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.
In the International numeral system, the place value of digits is in the sequence as follows.
They are Ones, Tens, Hundreds, Thousands, Ten Thousand, Hundred Thousands, Millions, Ten Million and so on.
We may observe a relationship between the two numeral systems as follows.
\[100thousand = 1lakh\]
\[1million = 10lakhs\]
\[10millions = 1crore\]
\[100millions = 10crores\]

Complete step-by-step solution:
The given numbers are,
Assamese: $13168484$
Hindi: $422048642$
Konkani: $2489015$
(a) We are asked to write the above numbers in both the numeral systems.
  In Indian system, we can write it as follows.
Assamese: $1,31,68,484$
Hindi: $42,20,48,642$
Konkani: $24,89,015$
In the International system, we can write it as follows.
Assamese: $13,168,484$
Hindi: $422,048,642$
Konkani: $2,489,015$
(b) We are asked to write the given numbers in words according to the Indian system of numeration which is given below.
Assamese: $1,31,68,484$ - One crore thirty one lakh sixty eight thousand four hundred and eighty four.
Hindi: $42,20,48,642$ -Forty two crore twenty lakh forty eight thousand six hundred and forty two.
Konkani: $24,89,015$-Twenty four lakh eighty nine thousand and fifteen.
(c) We are asked to write the given numbers in words according to the International system of numeration which is given below.
Assamese:$13,168,484$ - Thirteen million, one hundred and sixty eight thousand, four hundred and eighty four.
Hindi: $422,048,642$-Four hundred and twenty two million, forty eight thousand, six hundred and forty two.
Konkani:$2,489,015$ -Two million, four hundred and eighty nine million,fifteen.

Note: We use commas for our convenience so that we can read and write them easily. In both the numeral systems, commas are used at different positions.
We may observe a relationship between the two numeral systems as follows.
$>$ \[100thousand = 1lakh\]
$>$ \[1million = 10lakhs\]
$>$ \[10millions = 1crore\]
$>$ \[100millions = 10crores\]