Question

Write the following number in the international system of numeration.
Forty three lakh four thousand eighty four.

Answer 1

Hint:
 In the given question, we have to convert the number given in the Indian system of numeration to the International system of numeration. For that, we will first convert the given number into the numerals. Then, we will insert the commas and assign them place values according to the International system. Finally, we will integrate all the place value names.

Complete step by step answer:
In the given question, we are asked to write the name according to the International system of numeration. The name provided to us is in the Indian system. We will thus convert it into numerals and then write the name accordingly.
In the Indian system of numeration the place values are given as Ones – Tens – Hundreds, Thousands – Ten Thousands, Lakhs –Ten Lakhs, Crores – Ten Crores, and so on. The commas are placed after the third numeral, fifth numeral, seventh numeral, ninth numeral, and so on, starting from the right end.
We will now convert all the words, step by step into the numbers.
Forty three lakhs comprises two numbers. Forty lakhs and three lakhs.
We know that Forty lakhs represents the place value of ten lakhs. In number form, it is written as 40,00,000.
Three lakhs represents the place value of lakhs. In number form, it is written as 3,00,000.
Since no number is provided for the place value of ten thousands, it will be 0 or 00,000.
Now, four thousand represents the place value of thousands. In number form, it is written as 4,000.
We can see that no number is given for the place value of the hundred. Thus, it will be 000.
Now, we have to write eighty four in the form of numbers.
Eighty represents the place value of tens. In number form, it is written as 80.
And lastly, four represents the place value of ones and is written as 4.
We will now add all these numbers obtained to get the required number.
\[40,00,000 + 3,00,000 + 00,000 + 4,000 + 000 + 80 + 4 = 43,04,084\]
We will remove the commas to obtain it in the numeral form.
Thus, the numerals are 4304084.
Now, we will name it according to the International system of numeration. For that, we will begin by inserting the commas.
Let us insert the commas in the given numerals to group them into the different sets of place values. In the International system of numeration, the commas are placed after the third numeral, sixth numeral, ninth numeral, and so on, starting from the right end. The aim is to form the sets of three numbers.
Hence, the number so formed will be 4,304,084.
Now, let us assign these numbers their place values. The place values are given as Ones – Tens – Hundreds, Thousands – Ten Thousands – Hundred Thousands, Millions – Ten Millions – Hundred Millions, and so on. We will start from the right and proceed towards the left. The place values of the numerals are as given below –
\[\begin{array}{*{20}{c}}4&3&0&4&0&8&4\\ \uparrow & \uparrow & \uparrow & \uparrow & \uparrow & \uparrow & \uparrow \end{array}\]

We will now multiply the numerals with their respective place values, to obtain the place-value names.
4 – \[4 \times 1,000,000 = 4,000,000\] - Four Million
3 – \[3 \times 100,000 = 300,000\] - Three Hundred Thousand
0 – \[0 \times 10,000 = 00,000\] -
4 – \[4 \times 1,000 = 4,000\] - Four Thousand
0 – \[0 \times 100 = 000\] -
8 – \[8 \times 10 = 80\] - Eighty
4 – \[4 \times 1 = 4\] - Four
Add the place values in the different sets and then write the name of the numeral.
For instance, Three Hundred Thousand and Four Thousand can be together written as Three Hundred Four Thousand.
Write the final name of the numeral now.
The name of 4304084 in the International system of numeration is Four Million, Three Hundred Four Thousand, Eighty Four.

Note:
We practice two systems of numeration commonly. These are the Indian system of numeration and the International system of numeration respectively. The major difference in both the systems lies in assigning the place values. In the Indian system of numeration the place values are assigned to the numerals by making sets of 3,2,2,… and so on, moving from the right to the left. In the international system of numeration, sets of three numerals only are formed, from the right to the left, to assign the place values.