1. Introduction to Positive Numbers
Positive numbers are the numbers that are greater than zero. They represent quantities we usually count in everyday life, such as number of objects, distance, time, and money.
Any number with no sign or with a plus sign (+) is a positive number.
2. Definition of Positive Numbers
Positive numbers are numbers greater than zero.
Examples include:
- 1
- 5
- 12
- 100
- 2.5
- 0.75
Zero is not a positive number.
3. Positive Numbers on a Number Line
On a number line, positive numbers appear to the right of zero.
Example:
0, 1, 2, 3, 4, 5...
3.1. Understanding Position
The farther right you go, the larger the number becomes.
- 5 is greater than 3
- 10 is greater than 7
3.2. Comparison Between Positive Numbers
When comparing positive numbers, the number with the greater value is the one farther to the right.
4. Types of Positive Numbers
Positive numbers include different types of numbers.
4.1. Positive Integers
These are whole numbers greater than zero: 1, 2, 3, 4...
4.2. Positive Fractions
These are parts of a whole, such as 1/2 or 3/4.
4.3. Positive Decimals
Decimals greater than zero, such as 0.5 or 2.75.
5. Why Do We Use Positive Numbers?
Positive numbers describe quantities that exist or increase.
5.1. Counting Objects
Positive numbers tell us how many items we have, like 3 apples or 10 books.
5.2. Money
A positive balance (e.g., ₹500) means you have money.
5.3. Distance and Measurement
Distances like 2 km or 5 meters are positive values.
6. Operations with Positive Numbers
Positive numbers follow the normal arithmetic rules.
6.1. Addition
Adding positive numbers increases the total.
Example: 4 + 3 = 7
6.2. Subtraction
Subtracting a smaller positive number gives a positive result.
Example: 10 − 3 = 7
6.3. Multiplication
Multiplying positive numbers always gives a positive result.
Example: 5 × 4 = 20
6.4. Division
Dividing a positive number by another positive number gives a positive result.
Example: 12 ÷ 3 = 4
7. Examples of Positive Numbers
- 3
- 7
- 25
- 1.5
- 0.25
- 1000
All these values are greater than zero.
8. Properties of Positive Numbers
Positive numbers have predictable behaviors in arithmetic.
8.1. Always Greater Than Zero
Every positive number is greater than zero.
8.2. No Upper Limit
Positive numbers extend to infinity.
8.3. Distance from Zero
The value tells how far the number is to the right of zero.
9. Difference Between Positive and Negative Numbers
Positive and negative numbers lie on opposite sides of the number line.
9.1. Comparison Table
| Positive Numbers | Negative Numbers |
|---|---|
| Greater than zero | Less than zero |
| Right of zero | Left of zero |
| Examples: 3, 2.7, 50 | Examples: −3, −5, −0.5 |
10. Practice Questions
- Is 5 a positive number?
- Is 0.75 positive?
- Write three positive integers.
- Write two positive decimals.
- Is 0 a positive number?
11. Summary
Positive numbers are values greater than zero. They are used to count, measure, and describe real-life quantities such as time, distance, and money. Examples include whole numbers, fractions, and decimals that are greater than zero.