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Properties of Numbers and Equality

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Videos, worksheets, stories and songs to help Grade 6 students learn some of the properties of Real Numbers and the Properties of Equality.

Some properties of Real Numbers are:
Associative Property of Addition, a + (b + c) = (a + b) + c
Associative Property of Multiplication, a • (b • c) = (a • b) • c
Commutative Property of Addition, a + b = b + a
Commutative Property of Multiplication, a • b = b • a
Distributive Property, a • (b + c) = a • b + a • c
Additive Identity Property, a + 0 = a
Multiplicative Identity Property, a • 1 = a
Zero Property of Multiplication, a • 0 = 0
Substitution Property, If a = b, then a may be substituted for b, or conversely.

Addition 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 a • c = b • c.
Division Property of Equality, If a = b, then a / c = b / c, assuming c ≠ 0.
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.

Properties of Real Numbers
The commutative, associative, identity, inverse, zero product law and distributive properties of real numbers.
Properties of Equality
Addition Property of Equality, Subtraction Property of Equality,
Multiplication Property of Equality, Division Property of Equality,
Reflexive Property of Equality, Symmetric Property of Equality,
Transitive Property of Equality, Substitution Property of Equality

Properties of Numbers
This lesson consists of providing you with a Self-Tutorial of the basic properties of numbers. These are the ones discussed in this video:
The Reflexive Property of Equality, The Symmetric Property of Equality,
The Transitive Property of Equality, The Substitution Property,
The Additive Property of Equality, The Cancellation Law of Addition,
The Multiplicative Property of Equality, Cancellation Law of Multiplication,
The Zero-Factor Property, The Law of Trichotomy,
The Transitive Property of Inequality, Properties of Absolute Value,
The Closure Property of Addition, The Closure Property of Multiplication,
The Commutative Property of Addition, The Commutative Property of Multiplication,
The Associative Property of Addition, The Associative Property of Multiplication,
The Identity Property of Addition, The Identity Property of Multiplication,
The Inverse Property of Addition, The Inverse Property of Multiplication,
The Distributive Law of Multiplication Over Addition,
The Distributive Law of Multiplication Over Subtraction,
The General Distributive Property and The Negation Distributive Property.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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