The properties of operations
- Listed: January 5, 2020 10:11 pm
- Expires: 998063 days, 21 hours
Description
Table 3. The properties of operations. Here a, b and c stand for arbitrary numbers in a given number system. The properties of operations apply to the rational number system, the real number system, and the complex number system.
| Associative property of addition | (a + b) + c = a + (b + c) |
| Commutative property of addition | a + b = b + a |
| Additive identity property of 0 | a + 0 = 0 + a = a |
| Existence of additive inverses | For every a there exists –a so that a + (–a) = (–a) + a = 0. |
| Associative property of multiplication | (a × b) × c = a × (b × c) |
| Commutative property of multiplication | a × b = b × a |
| Multiplicative identity property of 1 | a × 1 = 1 × a = a |
| Existence of multiplicative inverses | For every a ≠ 0 there exists 1/a so that a × 1/a = 1/a × a = 1. |
| Distributive property of multiplication over addition | a × (b + c) = a × b + a × c |
3101 total views, 2 today
Listing ID: 5775e125ec121f2b
- Listed by: Admn
- Member Since: March 11, 2018
Other items listed by Admn
- 5th grade Writing Sample :Exploring the Skies: My Dream to Learn Astronomy
- 5th grade Writing Sample :The Unexpected Day of Freedom
- 5th grade Writing Sample : My Dream Destination
- 5th grade Writing Sample : Adventure in the Mountains
- Mathematics | Grade 3