Distributive Property

This video will give you the ins and outs of the distributive property. Can someone distribute some property to us?

Basic AlgebraBasic Equations
Elementary AlgebraDistribution problem
LanguageEnglish Language

Transcript

00:28

In he came with 5 gold bars and 1 precious diamond.

00:31

Because Moneylust is a busy guy and hardly has time to sit around and count all of his riches…[The King reading a piece of paper]

00:37

…is there a shortcut he can use to determine how many he has of each item?

00:41

You betcha.

00:43

Because we are dealing with three occurrences of the same data, we can write it this way: [3 lots of gold bars and diamonds]

00:48

Three times 5g plus d… where “g” stands for a gold bars, the 5 that multiplies the

00:54

“g” stands for the amount of gold total and the “d” stands for a diamond.

01:00

The stuff in parentheses represents what each steward presented to the king… [Stewards holding their gold bars and diamond]

01:04

5 gold bars and a diamond…

01:06

…and because there were three of them, we can multiply the whole thing by “3.”

01:11

To simplify this expression, we can use distributive property. [maths formula scribbled under distributive property]

01:14

In other words, whatever is on the outside of the parentheses, we can multiply by each

01:20

term on the inside of the parentheses. Three times 5g equals 15g…

01:27

…and three times 1d equals 3d. [King wearing 3D glasses]

01:32

So we can rewrite the expression as “15g plus 3d.”

01:37

Moneylust was a tad displeased when he realized that his stewards had only brought him 15 [The King looking unhappy with 15 gold bars and 3 diamonds]

01:42

gold bars and 3 precious diamonds.

01:45

He punished them by forcing them to solve this problem. [Stewards solving maths problem as King watches]