Video: AQA GCSE Mathematics Higher Tier Pack 3 • Paper 1 • Question 4

Calculate 452.8 ÷ 1.6.

04:39

Video Transcript

Calculate 452.8 divided by 1.6.

So we can write 452.8 divided by 1.6 as 452.8 over 1.6. Now as these both have a decimal, it looks tricky to attempt. So what we can do is to simplify it to make it easier. So the first thing we’re going to do is multiply the numerator and the denominator by 10 to get rid of the decimals. So now we have 4528 over 16. Okay, so this is starting to look like something that’s easier to attempt. Now what we could do here is use long division. However, with this problem, there is something we could do to make it even more simple to calculate, and that would be to divide both the numerator and the denominator by two. Because when we do that, we’re gonna have eight on the denominator, and then we can calculate the numerator by using the bus stop method. So we see how many twos go into four, which is two with no remainder, and then we see how many twos go into five, which is two with a remainder of one. Then we carry the one and see how many twos go into 12, which is six with no remainder, and then, finally, how many twos go into eight. So we get 2264.

So we’ve now got 2264 divided by eight. And again, now because it’s in a simple form, we can use the bus stop method to calculate 2264 divided by eight. So first of all, we see how many eights go into two, which is zero remainder two, so we carry the two. And then we see how many eights are in 22. Well two eights go into 22. That’s because eight multiplied by two is 16, and then we’ve got a remainder of six which we carry. Then we see how many eights go into 66, which is eight remainder two. So then what we do is we see how many eights go into 24. So this gives us our final answer, which is 283. And we don’t have to do anything here with decimals because as we’ve done everything the same to the numerator and the denominator the final answer we get is just gonna be the final answer.

What we can do is do a quick check to make sure this looks right. And for our check, we can do 1.6 multiplied by 283. So to do this calculation, what we can do is 283 multiplied by 16 then we can deal with the decimal at the end. And we’re gonna do it using column multiplication. So first of all, we have six multiplied by three, which is 18. So I put an eight in the units column and carry the one into the tens column. So now I have six multiplied by eight which is 48 then add the one that we’ve carried is 49. So we put nine in tens column and carry four into the hundreds column. So I have six multiplied by two, which is 12, add the four that we carried is 16. So we got 1698. So now what I need to do is multiply the 10 from the 16. Well as we’re multiplying by 10, we’re going to start with zero in the units column. And then we have one multiplied by three, which is three, so we put three in the tens column. One multiplied by eight is eight, so we put eight in the hundreds column. And finally, we have one multiplied by two, which is two, so we put two in the thousands column.

Now we’re gonna add our two values together. So we got 1698 add 2830. So we have eight in the units column. Then we’ve got nine add three, which is 12, so then we have two in the tens column, carry one into the hundreds column. So then we have six add eight, which is 14, add one, which is 15. So we have five in the hundreds column, carry one into the thousands column. Then we have one add two, which is three, add one, which is four. So then we get the answer of 4528. So then we take a look back at the original multiplication. And we had one decimal place in our original multiplication, which means we need one decimal place in our answer. So therefore, our answer is 452.8, which is what we started with. So great! We’ve checked our answer, so we can say that 452.8 divided by 1.6 is equal to 283.

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