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Division of Negative Numbers

For a non-zer...

Question

For a non-zero integer a, which of the following is not defined?

A

$a \div 0$

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B

$0 \div a$

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C

$a \div 1$

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D

$1 \div a$

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Solution

The correct option is A
$a \div 0$

Explanation for correct option:
Option A: $a \div 0$ is a fraction with denominator $0$ . The value obtained by dividing any number either positive or negative by $0$ is not defined.
Hence, option A is correct
Explanation for incorrect options:
Option B: $0 \div a = 0$ ; which is a defined value
Option C $a \div 1 = a$ ; which is a defined value
Option D $1 \div a = \frac{1}{a}$ ; which is a defined value
Hence, options B, C and D are incorrect
Hence, the correct option is option A

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