Properties of Real numbers

It is a property where in the sum of any two real numbers is a real number and its mathematical formula is a + b.

• Closure Property of Addition

• Commutative Property of Addition

• Associative Property of Addition

• Identity Property of Addition

It is Property where in the product of a number and its multiplicative inverse (reciprocal) is the identity element 1. a and 1/a are multiplicative inverses. The mathematical formula for this property is

a x 1/a = 1 or 1/a x a = 1 provided a should not be equal to 0.

• Identity Property of Multiplication

• Associative Property of Multiplication

• Inverse Property of Multiplication

• Closure Property of Multiplication

It is a Property where in the product of any two real numbers is a real number and its mathematical formula is ab .

• Identity Property of Multiplication

• Closure Property of Multiplication

• Associative Property of Multiplication

• Distributive Property of Multiplication

It is the property where in the two real numbers can be added in any order and its mathematical formula is

a + b = b + a .

• Closure Property of Addition

• Inverse Property of Addition

• Distributive Property of Multiplication over Addition

• Commutative Property of Addition

It is a Property where in the multiplication distributes over addition/subtraction and its mathematical formula is

a x (b + c) = a x b + a x c.

• Identity Property of multiplication

• Distributive Property of multiplication over Addition or Subtraction

• Inverse Property of multiplication

• Associative Property of multiplication

It is a Property where in the sum of a number and its additive inverse (opposite) is the identity element 0 x a and (-a) are additive inverses and also its mathematical formula is a + (-a) = (-a) + a = 0

• Identity Property of Addition

• Associative Property of Addition

• Commutative Property of Addition

• Inverse Property of Addition

If three real numbers are multiplied, it makes no difference which two are added first and its mathematical formula is

(a + b) + c = a + (b + c)

• Associative Property of Addition

• Identity Property of Addition

• Inverse Property of Addition

• Commutative Property of Addition

It is a property where in any number multiplied by the identity element 1 will remain unchanged. 1 is the identity element for multiplication and its mathematical formula is a x 1 = 1 or 1 x a = 1.

• Inverse Property of Multiplication

• Associative Property of Multiplication

• Identity Property of Multiplication

• Closure Property of Multiplication

It is a Property where in any number added to the identity element 0 will remain unchanged. 0 is the identity element for Addition

• Closure Property of Addition

• Inverse Property of Addition

• Associative Property of Addition

• Identity Property of Addition

It is a Property where in if three real numbers are multiplied, It makes no difference which two are multiplied first and its mathematical formula is (a x b) x c = a x (b x c)

• Associative Property of multiplication

• Identity Property of multiplication

• Closure Property of multiplication

• Inverse Property of Multiplication