Properties of equalityWe will show 8 properties of equality. When appropriate, we will illustrate with real life examples of properties of equality. Let x, y, and z represent real numbers 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 Substitution property: If x = y, then y can be substituted for x in any expression Example: x = 2 and x + 5 = 7, then 2 can be substituted in x + 5 = 7 to obtain 2 + 5 = 7 Any questions about the properties of equality, let me know. Need a Quick Answer to your Basic Mathematics Problems? Get an answer in 10 minutes or less from a math expert! Justanswer features topnotch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party
