Properties of Equality for Real Numbers

Introduction to properties of equality for real numbers:

Real numbers are defined as normal numbers what we are using. The positive number, negative number, large number , small number , whole numbers are all called as the real numbers. The equality property is defined as the numbers that are always equal. In this article we are going to see about the equality properties of real numbers.

Explanation to Properties of Equality of Real Numbers

The explanation for the properties of real numbers are given below the following,

Addition property of equality for real numbers:

Let the real numbers be a, b, c.
If the value a = b, then it will equals to a + c = b + c
Subtraction property of equality for real numbers:

Let the real numbers be a, b, c.
If a = b, then then it will equals to a - c = b – c.
Multiplication property of equality for real numbers:

Let the real numbers be a, b, c.
If the value a = b, then then it will equals to ac = bc
Division property of equality for real numbers:

Let the real numbers be a, b, c. and c not equal to zero.
If a = b, then, a/c = b/c
Distributive property of equality for real numbers:

Let the real numbers be a, b, c.
Then, a(b + c) = ab + ac
Reflexive property of equality for real numbers:

Let the real numbers be a.
Then then it will equals to a = a.
Symmetric property of equality for real numbers:

Let the real numbers be a, b
If the value of a = b then then it will equals to b = a
Transitive property of equality for real numbers:

Let the real numbers be a, b, c.
If the value a = b, then then it will equals to b = c and a = c
Between, if you have problem on these topics Dividing Exponents, please browse expert math related websites for more help on Consecutive Integers.
Example Problems to Properties of Equality of Real Numbers

Problem 1: Solve the problem by using the addition properties of real numbers, a = 5, b = 5 , c = 8.

Solution:

The given numbers are,

a = 5, b = 5 , c = 8.

The addition properties for real numbers is given by,

If a = b, then, a + c = b + c

L. H. S = a + c

= 5 + 8

= 13

R.H.S = b + c

= 5 + 8

= 13

Thus this is the answer for the equality property of addition.

Problem 2: Solve the problem by using the subtraction properties of real numbers, a = 5, b = 5 , c = 8.

Solution:

The given numbers are,

a = 5, b = 5 , c = 8.

The subtraction properties for real numbers is given by,

If a = b, then, a - c = b - c

L. H. S = a - c

= 5 - 8

= -3

R.H.S = b - c

= 5 - 8

= -3

Thus this is the answer for the equality property of subtraction.

Practice Problems to Properties of Equality of Real Numbers

Problem 1: Solve the problem by using the addition properties of real numbers, a = 3, b = 3 , c = 5.

Answer: 8 = 8

Problem 2: Solve the problem by using the subtraction properties of real numbers, a = 3, b = 3 , c = 5.

Answer: -2 = -2