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Illustrated definition of Equality: The state of being equal. Having the same amount or value. Example: 60 seconds ...
- Commutative Property
Commutative Laws. The "Commutative Laws" say we can swap...
- Properties of Inequalities
Properties. Inequalities have properties ... all with...
- Commutative Property
We have mainly nine properties of equality, namely addition property, subtraction property, multiplication property, division property, reflexive property, symmetric property, transitive property, substitution property, and square root property of equality.
Properties of equality are fundamental rules that apply to equations and express the idea that both sides of an equation are equal. If an arithmetic operation has been used on one side of the equation, then the same should be used on the other side. Properties of equality are all about balance.
Commutative Laws. The "Commutative Laws" say we can swap numbers over and still get the same answer ... ... when we add: a + b = b + a. Example: ... or when we multiply: a × b = b × a. Example: Percentages too! Because a × b = b × a it is also true that: a% of b = b% of a. Example: what is 8% of 50 ? 8% of 50 = 50% of 8. = 4.
Properties. Inequalities have properties ... all with special names! Here we list each one, with examples. Note: the values a, b and c we use below are Real Numbers. Transitive Property. When we link up inequalities in order, we can "jump over" the middle inequality. If a < b and b < c, then a < c. Likewise: If a > b and b > c, then a > c
Properties of equality are useful in a variety of mathematical contexts. In arithmetic, properties of equality play a key role in identifying whether or not expressions are equivalent. In algebra, properties of equality are useful for isolating and solving for an unknown variable.
What are properties of equality? Properties of equality are general rules that can be applied to an equation to create equivalent equations, which can be useful when comparing or solving equations. The associative property states that numbers can be grouped in different ways when they are added or multiplied and the answer will stay the same.
