# Basic identities

## Chapter 4 - Algebra Reference

### Division by Zero

#### $$\frac{a}{0} = undifined$$

Notes for Division by zero

• While division by zero is popularly thought to be equal to infinity, this is not technically true.
• In some practical applications it may be helpful to think the result of such a fraction approaching positive infinity as a positive denominator approaches zero (imagine calculating current I=E/R in a circuit with resistance approaching zero—current would approach infinity), but the actual fraction of anything divided by zero is undefined in the scope of either real or complex numbers.
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