Question

Write the following numerals in the Indian system of numeration.
27943

Answer 1

Hint: In this question, we will use the concept of naming the numerals with the help of the Indian system or the Hindu-Arabic system of naming. To do this we place the commas first of all. The numbers are given the place-values. Lastly, the final place value names of all the places are integrated together to be written as one from left to right.

Complete step-by-step answer:
The numerals given to us are 27943.
Let us insert the commas in the given numerals to group them into the different sets of place values. In the Indian system of numeration, the commas are placed after the third numeral, fifth numeral, seventh numeral, ninth numeral, and so on, starting from the right end.
Hence, the number so formed will be 27,943.
Now, let us assign these numbers their place values. The place values are given as Ones – Tens – Hundreds, Thousands – Ten Thousands, Lakhs –Ten Lakhs, Crores – Ten Crores, and so on. We will start from the right and proceed towards the left. The place values of the numerals are as given below –
\[\begin{array}{l}\begin{array}{*{20}{c}}2&7&9&4&3\end{array}\\\begin{array}{*{20}{c}} \uparrow & \uparrow & \uparrow & \uparrow & \uparrow \end{array}\end{array}\]
Ten Thousands Thousands Hundreds Tens Ones
We will now multiply the numerals with their respective place values, to obtain the place-value names.
2 – \[2 \times 10,000 = 20,000\] - Twenty Thousand
7 – \[7 \times 1,000 = 7,000\] - Seven Thousand
9 – \[9 \times 100 = 900\] - Nine Hundred
4 – \[4 \times 10 = 40\] - Forty
3 – \[3 \times 1 = 3\] - Three
Add the place values in the different sets and then write the name of the numeral.
For instance, Twenty Thousand and Seven Thousand can be together written as Twenty Seven Thousand.
Write the final name of the numeral now.

The name of 27943 in the Indian system of numeration is Twenty Seven Thousand, Nine Hundred Forty Three.

Note: There are two systems of naming which are practiced commonly. These are the Indian system and the International system of numeration respectively. In the Indian system, we practice naming by making sets of \[3,2,2,2....\] from right to left, and so on. The place values are assigned according to these sets only. Whereas, in the western or the International format, sets of 3 numerals only are made and naming is done accordingly.