Unit 2.5 Word Problems With Division of Multi-Digits
Ever wanted to learn how to solve word problems with division of multi-digits? Well, too bad. It's too late to turn back now.
So…what do we do when we’re faced with a word problem, and it wants us to divide [Scary looking face 'word problem' appears and a boy looks scared]
one number by another…and at least one of those numbers has more than one digit?
Other than panic, flip out, put a paper bag over our head and hope no one finds us? [The boy hiding under a paper bag]
Let’s use a relatively simple example, so you don’t have to resort to any…desperate
head-bagging measures. [The boy comes out from under the paper bag]
Okay…so we’re given the following problem:
Maggie’s getting married and has asked her 7 bridesmaids to help her make 136 papier-mâché
cupids to hang around the reception hall.
Her bridesmaids, who decide to stick by Maggie in spite of her tacky, horrendous idea, want [The question being written out]
to split the work evenly among them.
How many cupids should each girl make?
First of all… papier-mâché cupids…really?
We don’t know this girl or her fiancé, but…we have a feeling it won’t last. Oof. [Fiancé looking unimpressed]
Okay, so… when presented with a word problem like this, the first thing we need to do is [The angry looking word problem at the docs]
make sure we understand everything the problem is telling us.
For example…we know we’ve got 136 cupids that have to be made, but…how many worker [The number of cupids is highlighted]
bees do we have assigned to the project? [Bees flying around]
You can’t just skim the problem and say, “7.”
Maggie is asking her bridesmaids to HELP her make them…meaning we actually have eight
people on deck for this nightmarish activity. [Girls look horrified]
Okay…now that we understand the particulars, we need to set up the problem. [Solution appears next to the word problem and a guy introduces them]
How do we get to our answer?
Well, we’ve got 136 cupids…and they need to be divided evenly between 8 people…
…so our problem should look like this:
136 divided by 8 equals… our answer.
Now it’s just a matter of doing the math. 136 divided by 8 comes out neatly and evenly…
So each bridesmaid – plus our bride – needs to make 17 cupids. [The 7 woman's faces surrounding a big pile of cupids]
We can double-check our answer by multiplying 8 by 17…
…and yup. We come up with 136.
And that’s it.
You may have to deal with more complicated problems or bigger numbers, but the steps [Guy climbing a mountain covered in math problems]
you need to take to arrive at an answer will always be the same.
So the next time you’re attempting to solve a tough algebra problem… [Guy at a desk gives up and chucks his book down]
…just stop a moment and be grateful you’re not creating winged, naked babies out of a [The bridesmaid pulling crazy and scared faces]
sticky mixture of paper and glue.
Things can always be worse…