Topics
Number System(Consolidating the Sense of Numberness)
Number System
Estimation
Ratio and Proportion
Algebra
Numbers in India and International System (With Comparison)
Geometry
Place Value
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Data Handling
Negative Numbers and Integers
Number Line
HCF and LCM
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Sets
Ratio
Proportion (Including Word Problems)
Unitary Method
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Decimal Fractions
Percent (Percentage)
Idea of Speed, Distance and Time
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Introduction
- Reading and Writing Large Numbers Using the International System
- Examples
- Real-Life Application
- Tips, Tricks, and Common Mistakes
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) |
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 |
Examples
- 7456123 = 7,456,123
= Seven million four hundred fifty-six thousand one hundred twenty-three. - 61786425 = 61,786,425
= Sixty-one million seven hundred eighty-six thousand four hundred twenty-five. - 61786425 = 61,786,425
= Sixty-one million seven hundred eighty-six thousand four hundred twenty-five. - 82854137 = 82,854,137
= Eighty-two million eight hundred fifty-four thousand one hundred thirty-seven. - 743813256 = 743,813,256
= Seven hundred forty-three million eight hundred thirteen thousand two hundred fifty-six.
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.
Tips, Tricks, and Common Mistakes
-
Commas: Always insert commas every three digits from the right in figures.
-
Reading: Never use “and” or plurals like “millions”; instead, say “one million,” “two thousand.”
-
Comparison: Unlike the Indian System, comma and period names differ beyond the thousands place.
-
Zeros: Never place zeros at the start of a number (e.g., 007,456,123).
