Algebra

##### Related Lessons

- Adding and Subtracting Scientific Notation
- Adding Fractions
- Algebra Calculators
- Arithmetic Sequence
- Average Rate of Change
- Change of Base Formula
- Cm to M
- Commutative Property of Addition
- Completing the Square
- Cross Product Calculator
- Determinant Calculator
- Determinant of a Matrix
- Difference of Squares
- Discriminant
- Divisibility Rule for 7
- Dot Product Calculator
- Eigenvalue Calculator
- Eigenvector Calculator
- Equation of a Circle
- Even Numbers
- Exponent Rules
- Factorial Calculator
- Fractional Exponents
- How to Find the Median
- Interval Notation
- Matrix Addition
- Matrix Subtraction
- Midpoint Formula
- Multiplying Negative Numbers
- Negative Exponents
- Odd Numbers
- One to One Function
- Partial Fraction Decomposition Calculator
- Point Slope Form
- Properties of Multiplication
- Rationalize the Denominator
- Rectangular to Polar Calculator
- Reflexive Property
- Round to the Nearest Tenth
- RREF Calculator
- Slope Calculator
- Slope Intercept Form
- Standard Form
- Summation Calculator
- Vertex Form

Tutors/teachers:

Nikkolas

Tutor and Aerospace Engineer

# Properties of Multiplication

## The Four Properties of Multiplication with Examples

**Associative Property:** The order that multiplied numbers are grouped does not affect the product.

Example: (a×b)×c = b×(c×a)

**Commutative Property: **Changing the order of multiplied numbers does not affect the product.

Example: a×b = b×a

**Distributive Property:** Multiplying the sum of a quantity by a number is equivalent to multiplying that number by each of the numbers within the quantity, then summing them.

Example: a(b + c + d) = a×b + a×c + a×d

**Identity Property:** The product of any number and 1 is equal to the number.

Example: 1×a = a

### Lesson Summary

*These four properties are fundamental to algebra and all other math, science, and engineering topics that use algebra.* Although some of the properties may seem obvious, that are the foundation of being able to solve equations. You use these properties already, even if you never thought about their name or the property itself while using it.

Result :

Worksheet 1

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Cheat sheet

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