Aim: To explain the different types of numbers.
- ✅ Students are able to understand and explain about a number system.
- ✅ Students are able to identify the numbers collectively as the groups.
- ✅ Students are able to represents Natural numbers, Whole numbers, Integers, Real numbers (Rational & Irrational).
- ✅ Students are able to explore the relationship between various type of numbers.
- Step 1: Introduce "Number System" using the Number System Tree chart (Fig 1).
- Step 2: Display interactive flip cards. Each card represents a number family.
- Step 3: Students click/tap each card to flip and read definitions and examples.
- Step 4: Group discussion – "Is every whole number an integer?"
- Step 5: Use 'Reveal Next Card' button to sequentially explore all number types.
- Step 6: Complete the Venn diagram activity (Fig 3) and present findings.
๐ข โ = {1,2,3,4,...}
Natural numbers are counting numbers starting from 1.
๐ก Fun fact: The set is infinite and used for counting objects.
Examples: 1, 2, 3, 10, 100
⚪ ๐ = {0,1,2,3,...}
Whole numbers = Natural numbers + ZERO.
๐น Zero is the additive identity.
Examples: 0, 5, 100
โค = {...,-3,-2,-1,0,1,2,3,...}
Integers include positive, negative numbers and zero.
✅ Useful for temperatures, bank balances.
โ = {p/q | q≠0}
Numbers that can be expressed as a fraction.
๐ธ Examples: 1/2, 0.75, -3/4, 5 (5/1)
๐ ฯ, √2, e, ฯ ...
Cannot be written as simple fractions.
๐ฏ Real numbers consist of both Rational & Irrational!
โ = โ ∪ โ' (Rational ∪ Irrational)
Real numbers include every point on the number line.
⭐ Natural ⊂ Whole ⊂ Integers ⊂ Rational ⊂ Real
This Number system chart Math Kit helps the Student to develop a proper understanding of the number system. It helps the students to understand the positioning of number bases in everyday life and converting one number System to another.
NUMBER SYSTEM-1 — I learnt about collection of numbers called number systems. These numbers are different types such as natural number, whole numbers, irrational and rational etc. Also this helps us in operations like addition, subtraction and division. I can recognise, read and position whole numbers on a number line.
I am very Thankful to PM SHRI SCHEME ๐