The number 1 has several important properties that are useful in algebra. Table 1 gives these properties.
Property | Description | Equation | More Information |
---|---|---|---|
Multiplication by 1 | Anything times one equals itself. | a * 1 = 1 * a = a | Property of Multiplication by 1 |
Division by 1 | Anything divided by one remains unchanged. | a/1 = a | Property of Division by 1 |
Exponent of 1 | Any number raised to the power of one equals itself. | a^{1} = a | none |
Idempotence | 1 is idempotent under multiplication and exponentiation. | 1·1=1, 1^{1}=1 | Idempotence |
Table 1: Properties of one. |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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