# What is associative commutative distributive properties?

In math, the associative and commutative properties are **laws applied to addition and multiplication that always exist**. The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

## What is commutative associative and Distributive Law?

A. **The associative property states that when adding or multiplying, the grouping symbols can be rearranged and it will not affect the result**. This is stated as (a+b)+c=a+(b+c). The distributive property is a multiplication technique that involves multiplying a number by all of the separate addends of another number.

## What are the 5 laws of algebra?

**Laws of Algebra**

- Commutative Law for Addition.
- Commutative Law for Multiplication.
- Associative Law for Addition.
- Associative Law for Multiplication.
- Distributive Law.
- Cancellation Law for Addition.
- Cancellation Law for Multiplication.

## What are the 3 arithmetic laws?

There are three laws of arithmetic: **The associative law, the commutative law, and the distributive law**.

## What are the 5 properties of math?

**Commutative Property, Associative Property, Distributive Property, Identity Property of Multiplication, And Identity Property of Addition**.

## Is a B and B C then a C?

An example of a transitive law is “**If a is equal to b and b is equal to c, then a is equal to c**.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.

## What is the addition property of zero?

It means that additive identity is “0” as **adding 0 to any number, gives the sum as the number itself**. For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0. It is because when you add 0 to any number; it doesn’t change the number and keeps its identity.

## What is the property of zero?

The multiplication property states that **the product of any number and zero is zero**. It doesn’t matter what the number is, when you multiply it to zero, you get zero as the answer.

## What is the additive inverse of 2?

−2

the number in the set of real numbers that when added to a given number will yield zero: The additive inverse of 2 is **−2**.