Unit 1 · Topic 01 · Number System & Notation
Anaya's cricket app said the stadium had 1,25,000 seats. Her cousin in London opened the same app and it said 125,000.
Same stadium. Same seats. The commas had moved.
Anaya was sure one of them had a broken app.
Ms. Rao drew a place-value table on the board: Ones, Tens, Hundreds, Thousands, Ten Thousands, Lakhs, Ten Lakhs, and so on.
"A period is a group of place values," she said. "In the Indian system we read in three main periods: thousands, lakhs, and crores. Commas show where each period begins."
She wrote digits into the table: 5 in lakhs, 2 in ten lakhs, 7 in thousands, 8 in ten thousands, 6 in hundreds, 4 in tens, 1 in ones.
"Read it aloud," she said. Anaya tried: "Fifty-two lakh, seventy-eight thousand, six hundred forty-one."
Ms. Rao added commas: 52,78,641. "After the ones period take three digits, then comma. In thousands take two digits, then comma. In lakhs take two digits, then comma if more periods follow."
Kabir tried the next example: 8,24,05,936. "Eight crore, twenty-four lakh, five thousand, nine hundred thirty-six."
Then 40,30,80,207: "Forty crore, thirty lakh, eighty thousand, two hundred seven."
Anaya's cousin Veer wrote the same digits the International way — commas every three from the right: 403,080,207. Same digits, different grouping names, but the stadium seat count had never changed.
"Periods are for reading and writing," said Ms. Rao. "The digits stay fixed. Only the commas and the words we use to read them change with the system."
In the Indian system, a period is a group of place values. The main periods are ones (three places from the right), thousands (two places), lakhs (two places), and crores (two places).
Commas mark period boundaries: count three digits from the right for ones, then groups of two for each higher Indian period.
To read a number, name each period left to right — for example 52,78,641 is fifty-two lakh, seventy-eight thousand, six hundred forty-one.
The International system groups in threes all the way (thousands, millions, billions). The same digit string can be commaed both ways; 1 crore equals 10 million.
Write your school's total number of students, then the population of your city, then the population of India — all three in both systems, side by side.
Read each one aloud twice, once in each system. Notice that your mouth changes but the digits on the page do not.
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