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# 4.11: Simplify Variable Expressions Involving Integer Multiplication

Difficulty Level: At Grade Created by: CK-12
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Practice Simplify Variable Expressions Involving Integer Multiplication

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### Vocabulary Language: English

Associative property

The associative property states that the order in which three or more values are grouped for multiplication or addition will not affect the product or sum. For example: $(a+b) + c = a + (b+c) \text{ and\,} (ab)c = a(bc)$.

Commutative Property

The commutative property states that the order in which two numbers are added or multiplied does not affect the sum or product. For example $a+b=b+a \text{ and\,} (a)(b)=(b)(a)$.

Factors

Factors are numbers or values multiplied to equal a product.

Integer

The integers consist of all natural numbers, their opposites, and zero. Integers are numbers in the list ..., -3, -2, -1, 0, 1, 2, 3...

Product

The product is the result after two amounts have been multiplied.

Variable Expression

A variable expression is a mathematical phrase that contains at least one variable or unknown quantity.

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