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Modulo Arithmetic & Congruence · Question 83 of 97

Question 83

EasyOriginal question

In Z9\mathbb{Z}_9, what is [4]×[7][4] \times [7]?

Options for question 83

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. [4]×[7]=[28][4] \times [7] = [28].

  2. 28=9×3+128 = 9 \times 3 + 1, so it is [1][1].

Worth noting

[2][2] is 11 mod 911 \bmod 9: it adds the classes instead of multiplying.

Concept
Multiplying residue classes
Typical time
60 s
Your time
—
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.