Numbers and Decimals

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Distributive Law

Numbers and Decimals Distributive Law

🎬 Video Tutorial

  • (0:01) The Distributive Law: States that multiplying a number by a sum is the same as multiplying it by each part separately, then adding the results. This also works for subtraction.
  • (0:52) Expanding and Factorising: The distributive law helps in both expanding expressions, e.g., 15 × (100 + 2) = (15 × 100) + (15 × 2), and factorising, e.g., 50 × 24 − 50 × 14 = 50 × (24 − 14).
  • (2:23) Distributive Law and Division: The distributive law generally doesn’t apply to division and often does not simplify the calculation.

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📂 Revision Cards

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.

🍪 Quiz

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Distributive Law

1 / 6

Q: $4 \times (25 + 6)$

2 / 6

Q: $8 \times (50 + 2)$

3 / 6

Q: $7 \times (80 - 3)$

4 / 6

Q: $8 \times (70 - 5)$

5 / 6

Q: $8 \times 51$

6 / 6

Q: $12 \times 102$

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