Question

Write the number names for the following numbers.
A) 26,04,783
B) 5,901,080
C) 70,051,900
D) 17,25,09,250

Answer 1

Hint:
Here, we will use the concept of the Indian system and the international system of numeration. We will first analyze the numbers by the placement of commas between the numbers and check whether it is expressed in the international system or Indian system of numeration. Using this we will write the name accordingly.

Complete step by step solution:
In order to find the number names of the given numbers, we should know the difference between the Indian system and the international system of numeration.
In the international system of expressing numbers, we have the place values of the numbers as: Ones, tens, hundreds, thousands, ten thousands, hundred thousands, million, ten million, hundred million, billion, and so on.
Whereas, if we observe the Indian system, then, we write the place values as: Ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, ten crores, and so on.
Also, in the International system, commas are put after every 3 places starting from the units place. Whereas, in Indian system, after putting a comma after hundreds place, we put a comma after every two places.
Thus, both the systems are having a lot of differences.
Now, we will find the number names of the given numbers.

1) 26,04,783
As we can see, we have the commas after every two digits. Hence, this number will be written in Indian numeration system.
Thus, we will draw a place value table of Indian system and substitute the given values in the table.

TEN CRORE	CRORE	TEN LAKHS	LAKHS	TEN THOUSAND	THOUSAND	HUNDREDS	TENS	ONES
		2	6	0	4	7	8	3

Therefore, from this table, we can easily write the number name of 26,04,783 as:
Twenty six lakhs four thousand seven hundred eighty-three

2) 5,901,080
As we can see, we have the commas after every three digits. Hence, this number will be written in the International numeration system.
Thus, we will draw a place value table of the International system and substitute the given values in the table.

HUNDRED MILLION	TEN MILLION	MILLION	HUNDRED THOUSAND	TEN THOUSAND	THOUSAND	HUNDREDS	TENS	ONES
		5	9	0	1	0	8	0

Therefore, from this table, we can easily write the number name of 5,901,080 as:
Five million nine hundred one thousand eighty
3) 70,051,900
As we can see, we have the commas after every three digits. Hence, this number will be written in the International numeration system.
Thus, we will draw a place value table of the International system and substitute the given values in the table.

HUNDRED MILLION	TEN MILLION	MILLION	HUNDRED THOUSAND	TEN THOUSAND	THOUSAND	HUNDREDS	TENS	ONES
	7	0	0	5	1	9	0	0

Therefore, from this table, we can easily write the number name of 70,051,900 as:
Seventy million fifty-one thousand nine hundred
4) 17,25,09,250
As we can see, we have the commas after every two digits. Hence, this number will be written in Indian numeration system.
Thus, we will draw a place value table of Indian system and substitute the given values in the table.

TEN CRORE	CRORE	TEN LAKHS	LAKHS	TEN THOUSAND	THOUSAND	HUNDREDS	TENS	ONES
1	7	2	5	0	9	2	5	0

Therefore, from this table, we can easily write the number name of 17,25,09,250 as:
Seventeen crore twenty five lakh nine thousand two hundred fifty
Therefore, this is the required answer.

Note:
In mathematics, expanded form of a number means that the specific number is represented as the sum of each digit present in that number multiplied by its place value respectively. Whereas, a numeral form of a number is the mathematical symbol or name that stands for a number. In order to write a number name of a numeral, we use the modern numeral system i.e. the place-value systems to construct all the number names of the given numbers. Also, the difference between the Indian system and the international system plays a vital role to answer these types of questions.