What Is The Opposite And Reciprocal Of 8 Class 8 Maths CBSE - Vedantu

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsWhat is the opposite and reciprocal of 8?AnswerVerified522.6k+ viewsHint: First of all understand the terms ‘opposite’ and ‘reciprocal’ of a number. Assume the opposite of the given number as x. Now, add x and 8 and equate it with 0. Solve for the value of x to get the answer of one part of the question. Further, assume the reciprocal of 8 as y. To find the value of y, multiply 8 and y and equate it with 1. Solve for the value of y to get the answer.Complete step-by-step solution:Here we have been asked to find the opposite and reciprocal of 8. First we need to understand the meaning of the terms ‘opposite’ and ‘reciprocal’. Let us check them one by one.(1) The term ‘opposite’ of a number is also called its additive inverse. Additive inverse of a number (k) is defined as a number which when added to k gives the sum 0. So let us assume the additive inverse of 8 is x, therefore the sum of x and 8 will be 0.$\begin{align} & \Rightarrow x+8=0 \\ & \therefore x=-8 \\ \end{align}$Hence, the additive inverse (opposite) of 8 is -8.(2) The term ‘reciprocal’ of a number is also called its multiplicative inverse. Multiplicative inverse of a number (k) is defined as a number which when multiplied to k gives the product 1. So let us assume the multiplicative inverse of 8 is y, therefore the product of y and 8 will be 1.$\begin{align} & \Rightarrow y\times 8=1 \\ & \Rightarrow 8y=1 \\ & \therefore y=\dfrac{1}{8} \\ \end{align}$ Hence, the multiplicative inverse (reciprocal) of 8 is $\dfrac{1}{8}$.Note: Remember the definitions of the terms mentioned in the solution otherwise it will be difficult to solve the question. To find the additive inverse of any number just multiply it with -1 and to find the multiplicative inverse of any number divide 1 by that number. These are the simple rules to get the answer. Note that there is no multiplicative inverse of 0 because if we will consider its reciprocal then it will become undefined.Recently Updated PagesMaster Class 8 Social Science: Engaging Questions & Answers for SuccessMaster Class 8 English: Engaging Questions & Answers for SuccessClass 8 Question and Answer - Your Ultimate Solutions GuideMaster Class 8 Maths: Engaging Questions & Answers for SuccessMaster Class 8 Science: Engaging Questions & Answers for SuccessMaster Class 9 General Knowledge: Engaging Questions & Answers for SuccessMaster Class 8 Social Science: Engaging Questions & Answers for SuccessMaster Class 8 English: Engaging Questions & Answers for SuccessClass 8 Question and Answer - Your Ultimate Solutions GuideMaster Class 8 Maths: Engaging Questions & Answers for SuccessMaster Class 8 Science: Engaging Questions & Answers for SuccessMaster Class 9 General Knowledge: Engaging Questions & Answers for Success

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