**Suggested Videos**

Part 7 - Operations on real numbers - Text - Slides

Part 8 - Geometrical Method - Text - Slides

Part 9 - Properties of Rational Numbers - Text - Slides

**Properties:**

- Closure
- Commutative
- Associative
- Distributive

**Fig (1) Closure and Commutative property**

From Figure 1, we can conclude that Irrational numbers are not closed under arithmetic operations. Addition and Multiplication satisfies associative property.

**Fig (2) Associative and Distributive properties**

From figure 2, we can conclude that addition satisfies associative property, division is not satisfying this property. Similarly we can prove multiplication and subtraction associative property. Multiplication over addition satisfies distributive property.

**Conclusion:**

- Irrational numbers are not closed under basic arithmetic operations.
- Irrational numbers satisfy the commutative, associative and distributive laws for addition and multiplication.

## No comments:

## Post a Comment

It would be great if you can help share these free resources