The Distributive Property for Arithmetic

The video introduces the distributive property, explaining its importance in math. It uses an example with apples to visually demonstrate how the property works, showing that multiplying a number by a sum is the same as distributing the multiplication across each addend. The video also covers using the property in reverse to simplify mental calculations, highlighting its utility in algebra and large number multiplication.

Which of the following properties does NOT apply to subtraction?

• Associative Property

• Commutative Property

• None of the above

• Distributive Property

If you have 5 piles of 7 apples, how can you use the distributive property to represent this?

• 5 plus 7

• 3 times 4

• 5 times 7

• 5 times (3 plus 4)

What is the result of distributing 5 over the sum of 3 and 4?

• 5 plus 3 plus 4

• 5 times 3 plus 5 times 4

• 3 times 4

• 5 times 7

How can you mentally calculate 5 times 17 using the distributive property?

• 5 times (10 plus 7)

• 5 plus 17

• 5 times 17 directly

• 5 times (10 plus 5 plus 2)

What is the sum of 5 times 10, 5 times 5, and 5 times 2?

• 85

• 75

• 95

• 80