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Knowing these properties of numbers will improve your understanding and mastery of math.

There are four basic properties of numbers: commutative, associative, distributive, and identity.

It is especially important to understand these properties once you reach advanced math such as algebra and calculus.

## What are the properties of algebra?

ALGEBRA – Properties of Real Numbers

A | B |
---|---|

Distributive Property (Numbers) | 3(5 + 2) = 15 + 6 |

Commutative Property of Addition (Numbers) | 3 + 7 = 7 + 3 |

Commutative Property of Multiplication (Numbers) | 2 • 10 = 10 • 2 |

Associative Property of Addition (Numbers) | 5 + (6 + 7) = (5 + 6) + 7 |

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## What are the three properties of algebra?

**The properties involved in algebra are as follows:**

- Commutative property of Addition:
- Commutative property of Multiplication:
- Associativity property of Addition and Multiplication:
- Distributive property.
- Additive identity property:
- Additive inverse property:
- Multiplicative inverse property:

## What are the four rules of algebra?

The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them. The arrangement of addends does not affect the sum. The arrangement of factors does not affect the product.

## How do you identify algebraic properties?

- Property. Addition. Multiplication.
- Associative. (a + b) + c = a + (b + c) (ab)c = a(bc)
- Commutative. a + b = b + a. ab = ba.
- Identity. a + 0 = a = 0 + a. a · 1 = a = 1 · a.
- Inverse. a + (−a) = 0 = (−a) + a. a ·