Mathematic

Reciprocal or Multiplicative Inverse

Reciprocal or Multiplicative Inverse

Reciprocal or Multiplicative Inverse When the product of two numbers is one, they are called reciprocals or multiplicative inverses of each other. For example, 2/7 and 7/2 are reciprocals because (2/7 x 2/7) = 14/14 = 1. This is the motivation for the following property of fractions. The reciproc.....

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Additive Inverse of a Number

Additive Inverse of a Number

Additive inverse of a Number The Additive Inverse Axiom states that every real number has a unique additive inverse. Zero is its own additive inverse. The sum of a number and the Additive Inverse of that number is zero. The additive inverse of a number ‘a’ is the number that, when added to a,.....

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Multiplication Properties

Multiplication Properties

Multiplication Properties For a property with such a long name, it’s really a simple math law. The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number. To write out this property using variables, we can say that n.....

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Distributive, Identity and Inverse Axioms

Distributive, Identity and Inverse Axioms

Distributive, Identity and Inverse Axioms An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. Axioms are generally statements made about real numbers. Sometimes they are called algebraic postulates. The Distributive Axioms are that x(y + z) = x.....

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Calculations using the Order of Operations

Calculations using the Order of Operations

Calculations using the Order of Operations The orders of operations are rules that govern which mathematical operations are done first. For example, in mathematics and most computer languages, multiplication is granted a higher precedence than addition, and it has been this way since the introduc.....

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Multiplicative Axiom

Multiplicative Axiom

Multiplicative Axiom: If a = b and c = d then ac = bd. Since multiplication is just repeated addition, the multiplicative axiom follows from the additive axiom. Multiplication If a = b, then ac = bc. (in equity) If a < b and c > 0, then ac < bc. (in non-equity) If a […]

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Additive Axiom

Additive Axiom

Additive Axiom: If a = b and c = d then a + c = b + d. If two quantities are equal and an equal amount is added to each, they are still equal. The additive property of equality states that if the same amount is added to both sides of an equation, then […]

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Transitive Axiom

Transitive Axiom

Transitivity is the way in which preferences are transferred logically. If product X is preferred to product Y and product Y is preferred to product Z, then it follows that product X is preferred to product Z. Transitive Axiom: If a = b and b = c then a = c. This is the third […]

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Symmetric Axiom

Symmetric Axiom

An Axiom is a mathematical statement that is assumed to be true. There are four rearrangement axioms and two rearrangement properties of algebra. n mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have th.....

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Reflexive Axiom

Reflexive Axiom

Reflexive Axiom: A number is equal to itelf. (e.g a = a). This is the first axiom of equality. It follows Euclid’s Common Notion One: “Things equal to the same thing are equal to each other.” This is definitely one of the most obvious axioms there is, but it’s important no.....

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Axioms of Algebra

Axioms of Algebra

Axioms of Algebra An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. Axioms are generally statements made about real numbers. Sometimes they are called algebraic postulates. The axioms are the reflexive axiom, symmetric axiom, transitive axiom.....

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Grouping Symbols

Grouping Symbols

Grouping Symbols include parentheses (), curly brackets {}, or square brackets []. Grouping symbols are used to clarify which operations to do first, especially if a specific order is desired. If there is an expression to be simplified within the grouping symbols, follow the order of operations. .....

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