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Why Is Division by Zero Undefined?

publish date: 2026/05/10 21:13:13.917264 UTC

volume_mute

To find \(2 \div 0\), we would need to find \(?\) such that the related multiplication holds. What is the problem?

We need \(? \times 0 = 2\), but no number times 0 equals 2.

We need \(? \times 2 = 0\), and 0 satisfies this.

The divisor must always equal 1 for division to work.

2 is too small to divide by 0.

Correct Answer

We need \(? \times 0 = 2\), but no number times 0 equals 2.

Explanation

The related multiplication for \(2 \div 0 = ?\) would require \(? \times 0 = 2\). But any number times 0 is always 0, never 2. So there is no valid quotient — division by 0 is undefined.

Reference

Mathematics for college students

Quizzes you can take where this question appears

Use properties of division to divide whole numbers