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HomeHomework HelpmathematicsRules for Multiplication

Rules for Multiplication

The rules for multiplication in algebra involve various properties that govern how numbers and variables interact under multiplication, including the commutative, associative, and distributive properties.

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Mathematics
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Overview

Multiplication in algebra is a fundamental operation that extends beyond simple arithmetic. It involves not only numbers but also variables and expressions, making it essential for solving equations and simplifying expressions. Understanding the rules of multiplication, such as the distributive, com...

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Key Terms

Multiplication
The process of combining equal groups to find the total.

Example: 3 × 4 = 12, meaning three groups of four.

Variable
A symbol used to represent an unknown value.

Example: In x + 2 = 5, x is the variable.

Coefficient
A numerical factor in a term.

Example: In 3x, 3 is the coefficient.

Exponent
A number that shows how many times a base is multiplied by itself.

Example: In 2^3, 3 is the exponent, meaning 2 × 2 × 2.

Distributive Property
A property that states a(b + c) = ab + ac.

Example: 3(2 + 4) = 3×2 + 3×4.

Commutative Property
The property that states the order of multiplication does not matter.

Example: 5 × 2 = 2 × 5.

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Key Concepts

Distributive PropertyAssociative PropertyCommutative PropertyMultiplying Exponents