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Reflexive property: x = x

Example: 2 = 2 or I am equal to myself

Symetric property: If x = y, then y = x

Example: Suppose fish = tuna, then tuna = fish

transitive property: If x = y and y = z, then x = z

Example: Suppose John's height = Mary's height and Mary's height = Peter's height, then John's height = Peter's height

Addition property: If x = y, then x + z = y + z

Example: Suppose John's height = Mary's height, then John's height + 2 = Mary's height + 2

Or suppose 5 = 5, then 5 + 3 = 5 + 3

Subtraction property: If x = y, then x − z = y − z

Example: Suppose John's height = Mary's height, then John's height − 5 = Mary's height − 5

Or suppose 8 = 8, then 8 − 3 = 8 − 3

Multiplication property: If x = y, then x × z = y × z

Example: Suppose Jetser's weight = Darline's weight, then Jetser's weight × 4 = Darline's weight × 4

Or suppose 10 = 10, then 10 × 10 = 10 × 10

Division property: If x = y, then x ÷ z = y ÷ z

Example: Suppose Jetser's weight = Darline's weight, then Jetser's weight ÷ 4 = Darline's weight ÷ 4

Or suppose 20 = 20, then 20 ÷ 10 = 20 ÷ 10

Q: What are the 8 properties of equality?

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In mathematics, the equality properties refer to certain rules and properties that govern the behavior of equalities. These properties include the reflexive property (a = a), the symmetric property (if a = b, then b = a), and the transitive property (if a = b and b = c, then a = c). These properties ensure that equality is a well-behaved and consistent relation.

how to do mental math useing propertys

you answer it!

you need to put whole equation down to get help on proofs

There is no inequality for that expression since we are given the equality. x - 8 = 12 This is the example of equality since the expression has the "=" sign. For the learning bonus, I solved x for you. I did so by adding both sides by 8. x - 8 + 8 = 12 + 8 x = 20

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AdditionSubtractionMultiplicationDivisionReflexiveSymmetricTransitiveSubstitution

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In mathematics, the equality properties refer to certain rules and properties that govern the behavior of equalities. These properties include the reflexive property (a = a), the symmetric property (if a = b, then b = a), and the transitive property (if a = b and b = c, then a = c). These properties ensure that equality is a well-behaved and consistent relation.

if an equation is simplified by removing parentheses before the properties of equality are​ applied, what property is​ used?

how to do mental math useing propertys

See link.

you answer it!

Properties of EqualitiesAddition Property of Equality (If a=b, then a+c = b+c)Subtraction Property of Equality (If a=b, then a-c = b-c)Multiplication Property of Equality (If a=b, then ac = bc)Division Property of Equality (If a=b and c=/(Not equal) to 0, then a over c=b over c)Reflexive Property of Equality (a=a)Symmetric Property of Equality (If a=b, then b=a)Transitive Property of Equality (If a=b and b=c, then a=c)Substitution Property of Equality (If a=b, then b can be substituted for a in any expression.)

you need to put whole equation down to get help on proofs

There is no inequality for that expression since we are given the equality. x - 8 = 12 This is the example of equality since the expression has the "=" sign. For the learning bonus, I solved x for you. I did so by adding both sides by 8. x - 8 + 8 = 12 + 8 x = 20

The properties are similar in that they function the same way, but they are not interchangeable. If you add to one side of the equation, you have to add to the other. If you subtract from one side of the equation, you have to subtract from the other.