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Basic Algebra Videos 43 videos
ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?
ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?
SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?
Distributive Property 18964 Views
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Description:
This video will give you the ins and outs of the distributive property. Can someone distribute some property to us?
Transcript
- 00:04
Distributive Property, a la Shmoop.
- 00:07
King Moneylust values gold and jewels above all else. [King Moneylust sat on a throne]
- 00:11
One day, the king’s first steward brought him 5 gold bars and 1 precious diamond. [Steward drops 5 gold bars and a diamond for the King]
- 00:16
His second steward entered the court, also bringing the king 5 gold bars and 1 precious diamond.
- 00:23
Moneylust’s third steward, never one to be a trailblazer, followed suit. [Third steward drops gold bars and diamond on the floor]
Full 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]
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