Question

Write the number names of the following numerals in the Indian system
(a) \[75,32,105\]
(b) \[9,75,63,453\]

Answer 1

Hint:To solve this question we must follow the concept of naming numerals with help of Hindu-Arabic system or the Indian system of naming. We must follow a few steps to do this. First the numbers are given place values and lastly final place values are integrated together afterwards so that it can be written as one from left to right.

Complete step by step answer:
We have been given two numerals which are\[75,32,105\] and \[9,75,63,453\].The commas group them in different sets of place values. Now we must know that in this system commas are placed after the third numeral, fifth, seventh, ninth and so on.

(a) The place values are assigned as Ones-Tens-Hundred, Thousands-Ten Thousands, Lakhs-Ten Lakhs, and so on. We will proceed from the right and then proceed towards the left which gives us the place-value names. From this place value names we can easily write the numeral of the numbers. Now for our two number which we need to write the numeral for can be done this way as shown below
\[7\times 10,00,000=70,00,000\]=Seventy Lakh
\[\Rightarrow 5\times 1,00,000=5,00,000\] =Five Lakh
\[\Rightarrow 3\times 10,000=30,000\]=Thirty Thousand
\[\Rightarrow 2\times 1,000=2,000\]=Two Thousand
\[\Rightarrow 1\times 100=100\] =One Hundred
\[\Rightarrow 0\times 10=0\]=Zero
\[\Rightarrow 5\times 1=5\]=Five
Adding the place value in different sets we then get the name of the numeral which means that Seventy Lakh and Five Lakh can be written together as Seventy Five Lakh.Therefore the name of the first numeral is seventy five lakh, thirty two thousand, one hundred and five.

(b) Likewise for our second number
\[9\times 1,00,00,000=9,00,00,000\]=Nine Crores
\[\Rightarrow 7\times 10,00,000=70,00,000\]=Seventy Lakhs
\[\Rightarrow 5\times 1,00,000=5,00,000\]=Five Lakhs
\[\Rightarrow 6\times 10,000=60,000\]=Sixty Thousand
\[\Rightarrow 3\times 1,000=3,000\]=Three Thousand
\[\Rightarrow 4\times 100=400\]=Four Hundred
\[\Rightarrow 5\times 10=50\]= Fifty
\[\Rightarrow 3\times 1=3\]=Three
Therefore the name of the second numeral is Nine Crore, Seventy Five Lakh, Sixty Three Thousand, Four Hundred Fifty Three.

Note:There are two common naming systems following the indian system and the international system in indian sets are made of \[3,2,2..\] from left to right and in western sets of \[3\] are made and therefore the naming is different too.