FIGURATE NUMBERS
Definition Of Figurate Numbers
Numbers that can be represented to form a regular geometrical shape or geometric pattern are known as Figurate Numbers.
More About Figurate Numbers
Figurate numbers can also form three-dimensional solids like cube.
Video Examples:Figurate Numbers
Example of Figurate Numbers
The numbers 1, 3, and 6 are used to form the above triangular pattern, so these are triangular numbers.
Solved Example on Figurate Numbers
Ques: Identify the geometric shape that represents a figurate number.
Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: C
Solution:
Step 1: Here, Figure 3 represents a square number block representing the number 9.
Step 2: So, Figure 3 represents a figurate number.
Quick Summary
- Figurate numbers represent geometric shapes.
- They can be two-dimensional or three-dimensional (e.g., cubes).
- Examples include triangular numbers, square numbers, and cubic numbers.
🍎 Teacher Insights
Use visual aids and manipulatives (e.g., counters, blocks) to help students understand the geometric representation of figurate numbers. Encourage students to create their own figurate number patterns.🎓 Prerequisites
- Basic arithmetic
- Geometry concepts (shapes)
- Pattern recognition
Check Your Knowledge
Q1: Which of the following numbers is a square number?
Q2: What shape represents triangular numbers?
Frequently Asked Questions
Q: What is a triangular number?
A: A triangular number is a figurate number that can be represented by an equilateral triangle. For example, 1, 3, 6, 10 are triangular numbers.
Q: Are square numbers also figurate numbers?
A: Yes, square numbers are figurate numbers because they can be represented by a square arrangement of points.