This image represents a series of mathematical properties that are applied in equations. The properties displayed are the addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality, distributive property, substitution property, reflexive property, symmetric property, and transitive property.
The addition property of equality states that if you add the same number to both sides of an equation, the equality is preserved. The subtraction property of equality is similar, but with subtraction. The multiplication property of equality states that if you multiply both sides of an equation by the same number, the equality remains true. The division property of equality is similar, but with division.
The distributive property states that if you multiply a number by a sum, you can distribute that multiplication to each term within the sum. The substitution property allows you to substitute one value for another in an equation, as long as the equality remains true.
The reflexive property states that any value is equal to itself. The symmetric property states that if a equals b, then b equals a. The transitive property states that if a equals b and b equals c, then a equals c.
Overall, these properties help us manipulate and solve equations, providing a solid foundation for mathematical reasoning and problem-solving.
Captionless Image
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
1 answer
1 answer