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Understanding the Distributive Property in Math

Learn how to apply the distributive property to simplify expressions by multiplying terms inside parentheses. Explore examples and key concepts.

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Understanding the Distributive Property in Math

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  1. Distributive Property

  2. Distributive Property • To illustrate the distributive property look at the problem 3(2x-7). • This problem says 3 times 2x-7 • or 3 of (2x-7). • Multiplying by 3 means add 2x-7 over and over. • 2x-7+2x-7+2x-7 • Simplify this by using the commutative property. 2x+2x+2x-7-7-7=3(2x)+3(-7)

  3. Distributive Property • To use the distributive property, multiply each term inside the parenthesis by the multiplier.

  4. Watch out for… • exponent rules • multiplication when negatives are involved • combining like terms

  5. Examples

  6. Examples

  7. Examples

  8. Examples

  9. Examples There can be more than two terms inside the parenthesis.

  10. Examples

  11. Who wants to play with fractions?

  12. Examples

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