Answer:
1.addition property -Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
2.Subtraction property of equality refers to balancing an equation by using the same mathematical operation on both sides. For instance: We have 2 circles with the same number of stars.
3.The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.
4.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 .
5.In mathematics, a homogeneous relation R over a set X is transitive if for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c. Each partial order as well as each equivalence relation needs to be transitive.
6. The Trichotomy Property and the Transitive Properties of Inequality. Trichotomy Property: For any two real numbers a and b, exactly one of the following is true: a < b, a = b, a > b. Transitive Properties of Inequality: If a < b and b < c, then a < c.
