Video: Multiplying Two-Digit Numbers by One-Digit Numbers

This robot multiplies any number by 3 to get an answer. What would the answer in the following case be? 32 × 3

03:09

Video Transcript

This robot multiplies any number by three to get an answer. What would the answer in the following case be? 32 times three.

In the picture, we can see a rather colorful robot, can’t we? And this robot has been programmed to do something quite special. If you give it any number at all, it’ll multiply it by three and then give you the answer. Can you see it says times three on its chest? And now, unfortunately, we don’t have a robot to help us here, but we still need to find the answer to our question. Because we can see the number 32 being given to the robot, we know it’s gonna times this number by three. And we’re asked, what’s the answer going to be? So in other words, how can we find the answer to 32 times three without a colorful robot to help us?

Do you know your three times table fact up to 32 times three? Well, we usually stop learning facts around 10 or 12 times something. We don’t usually go as far as 32 times a number. So to help us multiply this two-digit number by a single digit, we can use the column method. To begin with, we can write out our calculation vertically, in other words, with the numbers on top of each other. 32. And then we’re going to be multiplying this, so we’ll draw the multiplication symbol. And we’re going to be multiplying it by three. And then also, before we start, we can draw an equal sign.

Now, as we’ve said already, 32 is a two-digit number. And by writing it like this, we can think about the ones and the tens parts of our number separately. 32 contains the digit two in the ones place. It has two ones. So we can start off by multiplying this part of the number by three. What are two ones times three? Well, this is a fact we already know, isn’t it? Two times three equals six. So we can see our answer is going to have six ones in it.

Now we just need to multiply the tens part of our number. 32 has a three in the tens place. It stands for three 10s. That’s where we get the number 30 from. And once again, we can use a fact we already know to help us here. We know that three times three is nine, and so three 10s times three is simply nine 10s, which just means we need to write the digit nine in the tens place.

Now, there aren’t any more digits in 32. It was only a two-digit number. We’ve multiplied both of our digits by three. Two times three is six, and three 10s times three or 30 times three is nine 10s or 90. We don’t have a robot like this to help us multiply two-digit numbers by three. But then we don’t need a robot like this. We’ve got the column method, and it’s pretty quick to use. 32 times three equals 96.

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