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 1 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 |
All Math Words Encyclopedia is a service of
Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License