Video: Pack 3 • Paper 1 • Question 1

Pack 3 • Paper 1 • Question 1

03:51

Video Transcript

Calculate 24.7 multiplied by 5.9.

So the first thing we’ll actually do is set up a column multiplication. And what I’ve done here is I’ve actually as you can see left out the decimal points because we’re gonna deal with them at the end, so actually multiplying 247 by 59.

So the first stage we’re actually gonna do is multiply our nine — so our units of our 59 — by each of the numbers in our 247. So first of all, we’re gonna do seven multiplied by nine, which is 63. So I actually write a three in our units and then I actually carry the six, which I’ve put just above so that we can actually remember that for the next stage.

Next, we have four multiplied by nine which actually gives us 36. It’s in fact 40 multiplied by nine which’ll be 360. But in terms of what we’re doing, this helps us to work out the next step. So we’ve got a 36. But because we actually already had six carried from the previous multiplication, then we’re gonna have 36 plus six which is 42. So therefore, I put a two in the tens column. And I actually carry the four.

Okay, great, so let’s move on to our next multiplication. So now we actually have two multiplied by nine which gives us 18. Well, as before, we actually had a number already carried cause we had four carried on from earlier. So therefore, we have 18 plus four which gives us 22. So we now write this in in our thousands and hundreds column. So we’ve got 2223.

So great, we finished multiplying the nine. We can now move on to the five and start to multiply that. Well, first of all, we’ve actually got seven multiplied by five. So this is gonna be 35. However, as we’re actually multiplying 50 this time cause it’s actually 59, then we’re actually gonna have seven multiplied by 50 gives us 350. So we put a zero in our units column and then we’ve got our five in our tens column. And then once again, we carry three and this time I’ve written it at the top.

Okay, great, so let’s move on to our next multiplication. We have four multiplied by five, which gives us 20. But again, we don’t forget the number that we carried earlier. So we actually had three. So it’s 20 plus three, which is equal to 23. So therefore, we actually put a three in our hundreds column and we carry a two.

So now we actually move on to our final multiplication. So we’ve got two multiplied by five, which gives us 10, again not forgetting the number we carried from the previous step. So we’ve actually got two. So it’s 10 plus two, which is gonna give us 12. So therefore, we actually write the two in the thousands column and the one in the ten thousands column. So great, so after that multiplication, we’ve got 12350.

Now, our next stage is to actually add these together. So we’ve got 2223 plus 12350. So we start with the units column. Three plus zero is three. Then, we’ve got two plus five is equal to seven in the tens column, two plus three in the hundreds column which gives us five, two plus two in the thousands column which gives us a four, and then just one ten thousands — so that’s one in our ten thousands column.

So brilliant, we’ve multiplied these numbers together and we’ve got the result 14573. But have we finished here? Well, no, we haven’t because actually remembering from the beginning question, we actually had 24.7 multiplied by 5.9. And I’ve said we’re gonna deal with the decimal points later. And this is now where we do that. Well, if we take a look at the question, we can see that there are two numbers after the decimal point. So this means that actually in our final answer, we’ll also need two numbers after the decimal point.

So therefore, we can say that 24.7 multiplied by 5.9 is gonna be equal to 145.73. And we got that because we actually make sure that we put our two numbers after decimal point, so 145.73.

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