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Basic Operations Videos 58 videos

Operations with Rational Expressions
8687 Views

It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.

Numbers and Operations: Elementary Number Theory
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Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…

SAT Math 7.3 Algebra and Functions
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SAT Math 7.3 Algebra and Functions

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Long Division 3677 Views


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Description:

Have plenty of scratch paper on hand before starting one of these problems. We’re not kidding when we say "long" division.

Language:
English Language

Transcript

00:00

Long division, a la Shmoop. In recent years, many species have been placed

00:09

on the endangered list. One of these species is the Underwear Fairy.

00:15

The underwear they depend on to survive has been depleted by the expanding Underwear Troll

00:20

population.

00:21

What used to be a plentiful bounty is now just a cool draft.

00:25

But wait -- the fairies have happened upon a pile of wild underwear.

00:29

Looks like there are 333 pairs of underwear to split evenly among 9 fairies.

00:35

Just how many pieces of underwear will each fairy get?

00:39

To set up the problem, draw your division box.

00:45

The dividend, or what's getting split up, goes inside the box. This is the 333 pairs

00:51

of underwear.

00:53

For the divisor, think outside the box. This is what you're dividing by.

01:05

Next decide if the first digit of the dividend can be divided by the divisor, or if 9 can

01:12

go into 3 at least once.

01:15

No?

01:16

Okay, so now see if 9 will go into the first two digits, or 33? Yes it can!

01:23

That means our quotient, or answer, will start above the second digit, or the tens place.

01:29

We need to find out "9 times what equals 33".

01:31

If you remember your times tables, you'll remember that 9 times 3 = 27, which is close

01:34

without going over.

01:35

Subtract 27 from 33 and that leaves us with a remainder of 6.

01:41

Bring down the last digit and we get 63.

01:44

Does 9 go into 63? Why yes it does. How many times?

01:49

7 times exactly in fact, which we write above the ones place.

01:53

7 times 9 is 63. 63 minus 63 is zero, so we have no remainder.

02:02

Yay, our answer is 37 pieces of underwear per fairy!

02:07

Even better, there's no remainder so the fairies won't wand-beam each other to death over the

02:11

leftover underwear.

02:13

That's a terrible way

02:33

to go.

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