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About 11 results
  • 5.1: Operations and Properties
    https://math.libretexts.org/Bookshelves/Applied_Mathematics/Understanding_Elementary_Mathematics_(Harland)/05%3A_______Binary_Operations/5.01%3A_Operations_and_Properties
    This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do t...This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do this, we're going to define and work with some nonsense operations.
  • 1.6: Properties of Real Numbers
    https://math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/01%3A_Foundations/1.06%3A_Properties_of_Real_Numbers
    \[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \texti...\[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \textit{opposite } \text{add to zero.} \\ \\ \\ \textbf{of multiplication } \text{For any real number }a,a\neq 0 & a·\dfrac{1}{a}=1 \\ \;\;\;\;\;\dfrac{1}{a} \text{ is the } \textbf{multiplicative inverse} \text{ of }a \\ \;\;\;\; \text{A number and its } \textit{reciprocal} \text{ multiply to one.} \end…
  • 13.7.6: Properties of Real Numbers
    https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/13%3A_Additional_Foundational_Content/13.07%3A_Foundations/13.7.06%3A_Properties_of_Real_Numbers
    \[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \texti...\[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \textit{opposite } \text{add to zero.} \\ \\ \\ \textbf{of multiplication } \text{For any real number }a,a\neq 0 & a·\dfrac{1}{a}=1 \\ \;\;\;\;\;\dfrac{1}{a} \text{ is the } \textbf{multiplicative inverse} \text{ of }a \\ \;\;\;\; \text{A number and its } \textit{reciprocal} \text{ multiply to one.} \end…
  • 1.6: Properties of Real Numbers
    https://math.libretexts.org/Workbench/Intermediate_Algebra_2e_(OpenStax)/01%3A_Foundations/1.06%3A_Properties_of_Real_Numbers
    The Identity Property of Addition that states that for any real number a , a + 0 = a a , a + 0 = a and 0 + a = a . 0 + a = a . The Identity Property of Multiplication that states that for any real num...The Identity Property of Addition that states that for any real number a , a + 0 = a a , a + 0 = a and 0 + a = a . 0 + a = a . The Identity Property of Multiplication that states that for any real number a , a · 1 = a a , a · 1 = a and 1 · a = a . 1 · a = a . This leads to the Inverse Property of Multiplication that states that for any real number a , a ≠ 0 , a · 1 a = 1 . a , a ≠ 0 , a · 1 a = 1 .
  • 1.2: Properties of Real Numbers
    https://math.libretexts.org/Courses/Monroe_Community_College/MTH_104_Intermediate_Algebra/1%3A_Foundations/1.6%3A_Properties_of_Real_Numbers
    \[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \texti...\[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \textit{opposite } \text{add to zero.} \\ \\ \\ \textbf{of multiplication } \text{For any real number }a,a\neq 0 & a·\dfrac{1}{a}=1 \\ \;\;\;\;\;\dfrac{1}{a} \text{ is the } \textbf{multiplicative inverse} \text{ of }a \\ \;\;\;\; \text{A number and its } \textit{reciprocal} \text{ multiply to one.} \end…
  • 1.4: Properties of Real Numbers
    https://math.libretexts.org/Courses/Cosumnes_River_College/Corequisite_Codex/01%3A_Sets_and_Numbers/1.04%3A_Properties_of_Real_Numbers
    \[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \texti...\[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \textit{opposite } \text{add to zero.} \\ \\ \\ \textbf{of multiplication } \text{For any real number }a,a\neq 0 & a·\dfrac{1}{a}=1 \\ \;\;\;\;\;\dfrac{1}{a} \text{ is the } \textbf{multiplicative inverse} \text{ of }a \\ \;\;\;\; \text{A number and its } \textit{reciprocal} \text{ multiply to one.} \end…
  • 7.1: Operations and Properties
    https://math.libretexts.org/Courses/Coastline_College/Math_C104%3A_Mathematics_for_Elementary_Teachers_(Tran)/07%3A_______Binary_Operations/7.01%3A_Operations_and_Properties
    This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do t...This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do this, we're going to define and work with some nonsense operations.
  • 1.2: Operations with Real Numbers
    https://math.libretexts.org/Workbench/Hawaii_CC_Intermediate_Algebra/01%3A_Algebra_Fundamentals/1.02%3A_Operations_with_Real_Numbers
    The result of adding real numbers is called the sum and the result of subtracting is called the difference. Given any real numbers a, b, and c, we have the following properties of addition: Additive I...The result of adding real numbers is called the sum and the result of subtracting is called the difference. Given any real numbers a, b, and c, we have the following properties of addition: Additive Identity Property,  Additive Inverse Property, Associative Property, Commutative Property
  • 1.5: Properties of Real Numbers
    https://math.libretexts.org/Courses/Fresno_City_College/MATH_201%3A_Elementary_Algebra/01%3A_Foundations/1.05%3A_Properties_of_Real_Numbers
    \[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \texti...\[\begin{array}{lc} \textbf{of addition} \text{For any real number }a, & a+(−a)=0 \\ \;\;\;\; −a \text{ is the } \textbf{additive inverse }\text{ of }a & {} \\ \;\;\;\; \text{A number and its } \textit{opposite } \text{add to zero.} \\ \\ \\ \textbf{of multiplication } \text{For any real number }a,a\neq 0 & a·\dfrac{1}{a}=1 \\ \;\;\;\;\;\dfrac{1}{a} \text{ is the } \textbf{multiplicative inverse} \text{ of }a \\ \;\;\;\; \text{A number and its } \textit{reciprocal} \text{ multiply to one.} \end…
  • 7.1: Operations and Properties
    https://math.libretexts.org/Courses/Hartnell_College/Mathematics_for_Elementary_Teachers/07%3A_______Binary_Operations/7.01%3A_Operations_and_Properties
    This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do t...This exercise set is designed to give you an understanding of what "binary operations" are, and to give you a deeper understanding for the commutative, associative and distributive properties. To do this, we're going to define and work with some nonsense operations.
  • 1.2: Operations with Real Numbers
    https://math.libretexts.org/Bookshelves/Algebra/Advanced_Algebra/01%3A_Algebra_Fundamentals/1.02%3A_Operations_with_Real_Numbers
    The result of adding real numbers is called the sum and the result of subtracting is called the difference. Given any real numbers a, b, and c, we have the following properties of addition: Additive I...The result of adding real numbers is called the sum and the result of subtracting is called the difference. Given any real numbers a, b, and c, we have the following properties of addition: Additive Identity Property,  Additive Inverse Property, Associative Property, Commutative Property

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