# What are the 7 properties of real numbers?

## What are the 7 properties of real numbers?

Addition Properties of Real Numbers

• 1) Closure Property of Addition.
• 2) Commutative Property of Addition.
• 3) Associative Property of Addition.
• 4) Additive Identity Property of Addition.
• 5) Additive Inverse Property.
• 6) Closure Property of Multiplication.
• 7) Commutative Property of Multiplication.

What are the 4 properties of real numbers?

Property (a, b and c are real numbers, variables or algebraic expressions)
1. Distributive Property a • (b + c) = a • b + a • c
2. Commutative Property of Addition a + b = b + a
3. Commutative Property of Multiplication a • b = b • a
4. Associative Property of Addition a + (b + c) = (a + b) + c

### What are the properties of real numbers?

Basic Properties of Real Numbers The Closure Property. The Commutative Property. The Associative Property. The Distributive Property.

What is Distributive Property in real numbers?

The Distributive Property states that if a, b, c are real numbers, then a(b + c) = ab + ac. In algebra, we use the Distributive Property to remove parentheses as we simplify expressions.

## What are the subsets of real numbers?

As we saw with integers, the real numbers can be divided into three subsets: negative real numbers, zero, and positive real numbers. Each subset includes fractions, decimals, and irrational numbers according to their algebraic sign (+ or –).

What are the 9 properties of math?

The following list presents the properties of numbers:

• Reflexive property. a = a.
• Symmetric property. If a = b, then b = a.
• Transitive property.
• Commutative property of addition.
• Commutative property of multiplication.
• Associative property of addition.
• Associative property of multiplication.