Numbers in Indian and International System

Hundred Millions place within the Millions period

Step 1: Write 743,813,256 in the International chart. From right: O=6, T=5, H=2, Th=3, TTh=1, HTh=8, M=3, TM=4, HM=7. Step 2: The Millions period contains: M, TM, and HM. Step 3: The digit 7 is in the HM (Hundred Millions) place. Step 4: HM is part of the Millions period. Step 5: So 7 belongs to the Millions period, specifically the Hundred Millions place. The value of this digit is 7 × 100,000,000 = 700,000,000.

1 million

Step 1: Write 10 lakh in digits: 10,00,000 (ten followed by 5 zeros). Step 2: Count the zeros: 10,00,000 = 1,000,000. Step 3: In the International system, place 1,000,000 in the chart: M=1, all others=0. Step 4: 1,000,000 = 1 million. Step 5: Therefore, 10 lakh = 1 million. This is a KEY conversion fact: 10 Lakh = 1 Million. Students often confuse this with 1 lakh = 1 million, which is incorrect.

82,854,137

Step 1: Identify each period from the number name: Millions = 82, Thousands = 854, Ones = 137. Step 2: Write the Millions period: 82. Step 3: Write the Thousands period: 854. Step 4: Write the Ones period: 137. Step 5: Combine with International commas: 82,854,137. The option 8,28,54,137 is the Indian system representation of the same number — always confirm which system to use before placing commas.

325,008,600

Step 1: The amount is ₹32,50,08,600. Remove Indian commas to get: 325008600. Step 2: Count total digits: 3-2-5-0-0-8-6-0-0 = 9 digits. Step 3: Group from right in sets of 3: 325 | 008 | 600. Step 4: Place International commas: 325,008,600. Step 5: Reading: Three hundred twenty five million eight thousand six hundred. A common error is keeping the Indian comma grouping (32,50,08,600) in the answer — the International system always uses groups of 3 from the right.