##### Asked by: Clay Geske

## What is the associative law example?

The associative law definition states that when any three real numbers are added or multiplied, then the grouping (or association) of the numbers does not affect the result. For example, when we add: **(a + b) + c = a + (b + c)**, or when we multiply : (a x b) x c = a x (b x c).

## What are commutative laws?

commutative law, in mathematics, **either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba**. From these laws it follows that any finite sum or product is unaltered by reordering its terms or factors.

## What is the associative law in math?

associative law, in mathematics, **either of two laws relating to number operations of addition and multiplication**, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

## What is commutative law and associative law?

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 idempotent law?

In set theory, Idempotent law is one of the important basic properties of sets. According to the law; **Intersection and union of any set with itself revert the same set**.

## What is distributive law math?

distributive law, also called distributive property, in mathematics, **the law relating the operations of multiplication and addition**, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab +

## What is cumulative and associative?

This rule of addition is called the commutative property of addition. Similarly, multiplication is a commutative operation which means a × b will give the same result as b × a. **The associative property, on the other hand, is the rule that refers to grouping of numbers**.

## What is an example of Commutativity law?

The commutative law of addition states that if two numbers are added, then the result is equal to the addition of their interchanged position. Examples: **1+2 = 2+1 = 3**. **4+5 = 5+4 = 9**.

## What is the difference between commutative and associative?

The associative property of addition states that you can group the addends in different ways without changing the outcome. The commutative property of addition states that you can reorder the addends without changing the outcome.

## What is associative and distributive property?

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 the separate addends of another number.

## How do you remember commutative associative and distributive properties?

*So the way to remember this is to remember a mother bird feeding her babies. She distributes some food to the first baby and then to the second baby think of this to as the three and four in a nest.*

## What are the 5 laws of algebra?

**Lesson Content**

- Commutative Law of Addition.
- Associative Law of Addition.
- Commutative law of multiplication.
- Associative law of multiplication.
- Distributive law of multiplication.
- Exercises.

## Is learning algebra hard?

Learning algebra can seem intimidating, but once you get the hang of it, **it’s not that hard**! You just have to follow the order for completing parts of the equation and keep your work organized to avoid mistakes!

## What are the 4 rules of algebra?

What are the four basic rules of algebra? The basic rules of algebra are the commutative rule of addition, the commutative rule of multiplication, the associative rule of addition, the associative rule of multiplication, and the distributive property of multiplication.