Distributive Property

Learn how to use the distributive property to expand or factorise expressions. Let's get started! 🚀

Distributive Property - introduction visual

Video Lesson

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Flashcards

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The Distributive Law for addition and subtraction, illustrated with an example showing 3×(4+2) as 3×4 + 3×2, using green and yellow balls.Applying the distributive law to expand and factorise brackets, with examples for 15 x (100 + 2) and 50 x (24 - 14) equations.The distributive law for multiplying numbers, such as 5*221, by factorising to 5*(200+20+1) and expanding to 5*200+5*20+5*1.Explanation that the distributive law generally does not simplify division, showing the example (19+2)/3.

🛎️ What is the Distributive Property?

  • The distributive property means multiplying a number across brackets.
  • It is written as a × (b + c) = a × b + a × c.

🛎️ Applying the Distributive Property

  • Multiply the number outside the brackets by each term inside.
  • This can be used to expand brackets or simplify calculations.

🛎️ Distributive Property with More Than Two Terms

  • The distributive property also works with more than two terms.
  • For example, a × (b + c + d) = a × b + a × c + a × d.

🛎️ Should I Use the Distributive Property with Division?

  • Do not use the distributive property when dividing.
  • When there is division, it is usually better to calculate inside the brackets first.

Practice Questions

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Interactive Activity

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