Introduction There are many times in algebra when you need to simplify an expression. The properties of real numbers provide tools to help you take a complicated expression and simplify it. The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.

This is a well known number property that is used very often in math. This property was first given it's name by a Frenchman named Francois Servois in He used the french word "commutatif", which means "switchable".

Why the word "switchable"? The commutative property can be used with addition or multiplication and it says that you can add or multiply numbers in any order and you will still end up with the same answer. Let's first take a closer look at the commutative property for addition.

Commutative Property of Addition You can add numbers in any order and still have the same sum. Just switch the numbers around in your addition problem and you have used this property. Now let's take a quick look at the Commutative Property for Multiplication.

It is utilized in exactly the same way. Commutative Property of Multiplication You can multiply numbers factors in any order and still end up with the same product.

One thing we don't want to forget Tip The commutative property only works for multiplication and division. It does NOT work for subtraction or division. Is your mental math strong?

If not, let's see how this property can make you a mental math whiz! Take a look at the following example. Mental Math Strategies Using the Commutative Property Let's say that you are given the following problem to compute mentally. Try to compute this problem mentally, in the order that it is presented!

Same numbers, different order.

Let's compute this mentally and see if we can work any faster. We used the commutative property to rewrite these numbers in a different order. The commutative property helps to make your mental math much faster!

Work smarter not harder!!Standards Alignment DreamBox Learning® Math for grades K-8 provides the depth and rigor required by Common Core, state, and Canadian standards.

The commutative property of multiplication states that you can multiply numbers in any order. In English to commute means to travel or to change location.

In math, the commutative property of multiplication allows us to change the places of factors in a product. Rewrite Using Associative Property Quiz 10 rewrite using the associative property problems.

A math scoring matrix is included. Standard: Math 2 Grades: () View quiz. Answer Keys Answers for the homework and quiz. View answers.

Answer Keys Answers for both lessons and both practice sheets. Much of the work in a program is done by evaluating expressions, either for their side effects, such as assignments to variables, or for their values, which can be used as arguments or operands in larger expressions, or to affect the execution sequence in statements, or both..

This chapter specifies the meanings of expressions and the rules for their evaluation. Having url rewrite patterns regardbouddhiste.comss file which modify your urls can affect $_FILES sometimes. Even though the php page loads and works fine, this variable may not work because of it.

Sal uses place value, the distributive property, associative property, and an area model to show more ways to multiply.

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