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- 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…
- 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…
- https://math.libretexts.org/Workbench/Intermediate_Algebra_2e_(OpenStax)/01%3A_Foundations/1.06%3A_Properties_of_Real_NumbersThe 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 .
- 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…
- 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…
- https://math.libretexts.org/Workbench/Hawaii_CC_Intermediate_Algebra/01%3A_Algebra_Fundamentals/1.02%3A_Operations_with_Real_NumbersThe 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
- 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…
- https://math.libretexts.org/Bookshelves/Algebra/Advanced_Algebra/01%3A_Algebra_Fundamentals/1.02%3A_Operations_with_Real_NumbersThe 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
