How to Learn Distributive Property

What is the Distributive Property?

The distributive property is a mathematical rule that states that the multiplication of a number by a sum is equal to the sum of the products of the number by each addend in the sum.

In other words, for any number a, and any numbers b and c, we have:

a(b + c) = ab + ac

Rules of the Distributive Property

• The distributive property can be used to multiply a number by a sum or a difference.
• The distributive property can be used to factor out a common factor from a sum or a difference.
• The distributive property can be used to solve equations.

How to Apply the Distributive Property

To apply the distributive property, follow these steps:

1. Multiply the number by the first addend.
2. Multiply the number by the second addend.
3. Add the two products together.

For example, to apply the distributive property to the expression 3(x + 2), we would do the following:

• Multiply 3 by x: 3x
• Multiply 3 by 2: 6
• Add the two products together: 3x + 6

Examples of the Distributive Property

• 3(x + 2) = 3x + 6
• 4(y – 5) = 4y – 20
• 2(z + 3 – 1) = 2z + 4

Conclusion

The distributive property is a powerful tool that can be used to simplify expressions and solve equations. By understanding the rules of the distributive property and how to apply it, you can make math easier and more fun.

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