Insert commas suitably and write the names according to the Indian system of numeration: (a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701

The Indian numeral system (or the system of numeration) is a writing system adapted in India for expressing numbers.

Answer: (a) 8,75,95,762: Eight crores seventy-five lakh ninety-five thousand seven hundred and sixty-two

When we use the Indian numeral system, we count with ones, tens, hundreds, thousands, ten thousand, lakhs, ten lakhs, and crores.

Explanation:

We insert a comma after each period.

Starting from the right side of the number, the first comma is inserted after the hundreds digit.

The second comma is inserted after the thousands period, that is after 2 places from the first comma.

The third comma is inserted after the lakhs period.

This is how we insert the commas in the Indian numeral system.

Let us place each number in the Indian place value chart.

(a)

Crores	Ten Lakhs	Lakhs	Ten thousands	Thousands	Hundreds	Tens	Ones
8	7	5	9	5	7	6	2

Therefore, the number is "Eight crores seventy-five lakh ninety-five thousand seven hundred and sixty-two".

(b)

Ten Lakhs	Lakhs	Ten thousands	Thousands	Hundreds	Tens	Ones
8	5	4	6	2	8	3

Therefore, the number is "Eighty-five lakh forty-six thousand two hundred and eighty-three".

(c)

Crores	Ten Lakhs	Lakhs	Ten thousands	Thousands	Hundreds	Tens	Ones
9	9	9	0	0	0	4	6

Therefore, the number is "Nine crores ninety-nine lakh and forty-six".

(d)

Crores	Ten Lakhs	Lakhs	Ten thousands	Thousands	Hundreds	Tens	Ones
9	8	4	3	2	7	0	1

Therefore, the number is "Nine crores eighty-four lakh thirty-two thousand seven hundred and one".