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Video: Solving Word Problems by Dividing a Decimal by an Integer

Tim Burnham

Roger and five neighborhood friends were buying a trampoline that costs $456.24. If the cost is divided equally among them, how much will each person pay?

03:32

Video Transcript

Roger and five neighborhood friends were buying a trampoline that costs four hundred and fifty-six dollars and twenty-four cents. If the cost is divided equally among them, how much will each person pay?

Well, let’s think about this: we’ve got Roger and five neighbourhood friends, so there’re six people in total sharing the cost. And the question says that each of them is going to be paying the same amount, so they’re sharing the cost equally. And the total cost of the trampoline is four hundred and fifty-six dollars and twenty-four cents, so we’re dividing that four hundred and fifty-six dollars twenty-four cents between six people. The calculation then is four hundred and fifty-six point two four divided by six.

And we can write that out like this. Now we need to go through and do the division. Now before I do that, I’m just gonna write out my six times table. So we start off with six. If we add six, we’ve got twelve; add six again, we’ve got eighteen; add six again, we’ve got twenty-four; add six again, I’ve got thirty; add six again, I’ve got thirty-six; add six to that, I’ve got forty-two; add six to that, I’ve got forty-eight; add six to that, I’ve got fifty-four; add six to that, I’ve got sixty. That’s good because ten times six is clearly sixty; I know I’ve got my six times table correct. Now this’s gonna be a useful lookup table when I’m doing my individual divisions. If you already know your six times table very well, then you actually don’t need to write that down.

Okay, on with the calculation: sixes into four, well they don’t go. So sixes into four goes zero times. Okay, well let’s try sixes into forty-five. Well if we look along our list here, if I did six times eight, that would be forty-eight; that’ll be too big. But six times seven is forty-two, so that is slightly less than forty-five. So the answer is seven. So six times seven is forty-two. And the difference between forty-five and forty-two- five minus two is three; four minus four is nothing. The difference is three.

Now let’s bring down the next digit, six. Sixes into thirty-six, well they go exactly six times look. So we can write six up here; six times six is thirty-six. And the difference between thirty-six and thirty-six is zero. And next I encounter the decimal place; I’m just gonna write the decimal point above the line there. And we don’t need to use that in our calculation. So I’m going to bring down the two — the next digit — here. And we want to know how many sixes go into two. Well, they don’t; six is bigger than two. So the answer is zero and I need to bring down the next digit.

Now, how many times do six go into twenty-four? They go exactly four times. So I can write in four because four sixes are twenty-four. And the difference between twenty-four and twenty-four is zero, and we’ve got no more digits to play around with. So our answer is seventy-six point zero four. Now remember the units were dollars and cents, so the answer is seventy-six dollars and four cents per person.