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Modulo Arithmetic & Congruence · Question 84 of 97

Question 84

EasyOriginal question

In Z10\mathbb{Z}_{10}, with classes written [0][0] to [9][9], which class is the additive inverse of [3][3]?

Options for question 84

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The additive inverse of [a][a] is the class that adds to [0][0].

  2. [3]+[7]=[10]=[0][3] + [7] = [10] = [0].

Worth noting

[1][1] is the multiplicative idea; the additive inverse must add to [0][0]: [3]+[1]=[4][3] + [1] = [4].

Concept
The additive inverse of a class
Typical time
60 s
Your time
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The rule this testsResidue classes
Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.

Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.