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International System of Numeration

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Topics

  • Introduction
  • Reading and Writing Large Numbers Using the International System
  • Examples
  • Real-Life Application
  • Tips, Tricks, and Common Mistakes
CISCE: Class 6

Introduction

The world’s population, distances between planets, and large financial numbers are often written using the International System.

Learning this system helps you understand and write large numbers the way they are used globally in science, banking, and communication!

The International System: Key Points

  • Digits Used: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
  • Base-10 (Decimal) System: Value increases 10 times as you move left.
  • Grouping: Large numbers are grouped into periods such as billions, millions, thousands, and ones.
  • Place Value: The position of each digit determines whether it represents ones, tens, hundreds, thousands, millions, or billions.
Periods → Billions Millions Thousands Ones
Places Hundred billions (HB) Ten billion (TB) Billions (B) Hundred millions (HM) Ten million (TM) Millions (M) Hundred thousands (HT) Ten thousand (TT) Thousands (Th) Hundreds (H) Tens (T) Ones (O)
CISCE: Class 6

Reading and Writing Large Numbers in the International System

In this system, the groups are made with periods, as shown below:

Value 100,000,000,000 10,000,000,000 1,000,000,000 100,000,000 10,000,000 1,000,000 100,000 10,000 1000 100 10 1
Period Hundred Billions (HB) Ten Billion
(T B)
Billion  Hundred Million (HM) Ten Million
(T M)
Million
(M)
Hundred Thousand
(H Th.)
Ten thousand
(T Th)
Thousand
(Th)
Hundreds
(H)
Tens
(T)
Ones
(O)

Reading and Writing Large Numbers in the International System:

Periods
Millions Thousands Ones
Numbers ↓  (HM) (TM) (M) (HTh) (TTh) (Th) (H) (T) (O)
7456123      7 4 5 6 1 2 3
 225437       2 2 5 4 3 7
61786425    6 1 7 8 6 4 2 5
 82854137    8 2 8 5 4 1 3 7
743813256 7 4 3 8 1 3 2 5 6
CISCE: Class 6

Examples

  1. 7456123 = 7,456,123
                   = Seven million four hundred fifty-six thousand one hundred twenty-three.
  2. 61786425 = 61,786,425
                      = Sixty-one million seven hundred eighty-six thousand four hundred twenty-five.
  3. 61786425 = 61,786,425
                     = Sixty-one million seven hundred eighty-six thousand four hundred twenty-five.
  4. 82854137 = 82,854,137
                     = Eighty-two million eight hundred fifty-four thousand one hundred thirty-seven.
  5. 743813256 = 743,813,256
                       = Seven hundred forty-three million eight hundred thirteen thousand two hundred fifty-six. 
CISCE: Class 6

Real-Life Application

  • Bank cheques, population figures, and scientific data in the news are presented in the international format, especially outside India.

  • Computer files, websites, and business reports commonly use international grouping and naming.

CISCE: Class 6

Tips, Tricks, and Common Mistakes

  1. Commas: Always insert commas every three digits from the right in figures.

  2. Reading: Never use “and” or plurals like “millions”; instead, say “one million,” “two thousand.”

  3. Comparison: Unlike the Indian System, comma and period names differ beyond the thousands place.

  4. Zeros: Never place zeros at the start of a number (e.g., 007,456,123).

Test Yourself

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