The substitution property of equality states that **if two quantities are equal, then one can replace the other in any equation or expression**.

Contents

- 1 What is substitution property?
- 2 What is substitution property of equality examples?
- 3 What does the substitution property of equality say?
- 4 What is substitution transitive property of equality?
- 5 What is substitution example?
- 6 What is the substitution property of addition?
- 7 What is an example of the division property of equality?
- 8 Which is an example of the symmetric property of equality?
- 9 What does distributive property of equality mean?
- 10 Why is substitution important in mathematics?
- 11 What is an example of the transitive property?
- 12 What is the transitive property of inequalities?

## What is substitution property?

Substitution Property: If two geometric objects (segments, angles, triangles, or whatever) are congruent and you have a statement involving one of them, you can pull the switcheroo and replace the one with the other.

## What is substitution property of equality examples?

Example. If 5x – 2y = z and x = y, then 5x – 2x = 12 or 5y – 2y = 12 by the substitution property.

## What does the substitution property of equality say?

It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well. This is called the substitution property of equality. If a = b, then a can be substituted for b in any expression.

## What is substitution transitive property of equality?

Substitution is the replacement of one piece. Transitive Property: On the other hand, the Transitive Property is when two numbers, variables, or quantities are equal to the same thing (not necessarily each other right away as the given).

## What is substitution example?

An example of substitution: ‘ I bet you get married [A] before I get married [A]. ‘ – repetition. ‘I bet you get married [A] before I do [B].

## What is the substitution property of addition?

Substitution Property If x=y, then x may be replaced by y in any equation or expression.

## What is an example of the division property of equality?

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is, if a, b, and c are real numbers such that a = b and c ≠0, then a c = a c. Example: Consider the equation 12 = 12. Divide both sides by 4.

## Which is an example of the symmetric property of equality?

In mathematics, the symmetric property of equality is really quite simple. This property states that if a = b, then b = a. For example, all of the following are demonstrations of the symmetric property: If x + y = 7, then 7 = x + y.

## What does distributive property of equality mean?

Distributive Property of Equality Definition That is, multiplying a quantity by the sum of two or more terms is the same as adding together the products of the original quantity and each term. In arithmetic terms, let and be real numbers. Then: a ( b + c ) = a b + a c.

## Why is substitution important in mathematics?

Substitution creates connections between different parts of mathematics and thus helps to view mathematics as a whole.

## What is an example of the transitive property?

In math, if A=B and B=C, then A=C. So, if A=5 for example, then B and C must both also be 5 by the transitive property. For example, humans eat cows and cows eat grass, so by the transitive property, humans eat grass.

## What is the transitive property of inequalities?

Transitivity. The transitive property of inequality states that for any real numbers a, b, c: If a ≤ b and b ≤ c, then a ≤ c.