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Volume
EE Reference
Chapter
Algebra Reference
Basic identities
Additive Identity
a + 0 = a
Multiplicative Identity
1a = a
Multiplicative Inverse
$$\frac{a}{1} = a$$
or
$$\frac{a}{a} = 1$$
Zero Properties of Multiplication
0a = 0
$$\frac{0}{a} = 0$$
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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