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Question Video: Identifying the Correct Rounding of Three-Digit Numbers to the Nearest Ten Mathematics • 3rd Grade

Which of the following numbers can be 230 when rounded to the nearest ten? [A] 237 [B] 224 [C] 228 [E] 220

02:55

Video Transcript

Which of the following numbers can be 230 when rounded to the nearest 10? 237, 224, 228, or 220.

Each of the possible answers to this question is a three-digit number. And this question is all about rounding numbers like these to the nearest 10. Now often, with questions like these where we have to round numbers, we’re given a number, and then we have to round that number to the nearest 10. But this question is slightly different. In this question, we’re given a multiple of 10. That’s the number 230 in our question. And we need to find the number that rounds to this multiple of 10. So in a way, we’re sort of working backwards here. If we were asked to round each of these numbers, which one would we round to 230? Well, there are only four answers to choose from, and one of them we can cross off straightaway. Can you spot which one?

Our last answer is a multiple of 10 already; it’s 220. So we would never need to round this number to the nearest multiple of 10. It is a multiple of 10. This leaves us with only three possible answers. Now we know that the number 237 is in between two multiples of 10, 230 and 240. So do you think we need to round this number down to 230 or up to 240? Well, if we look at the ones digit of our number, we can see it’s a seven. And we know that any number that has a ones digit of five or more, we round up. 237 rounded to the nearest 10 is 240 not 230.

Our next three-digit number is 224. We can draw this on the same number line, but we are going to have to extend it in one direction here because we know 224 is in between 220 and 230. And the ones digit of this number is a four. Now, whilst any number that ends in a five, six, seven, eight, or nine we round up, any number that ends in a four or less we round down. And so 224 rounded to the nearest 10 is going to be 220 not 230. So this only leaves us with one possible answer. We know that 228 is in between 220 and 230. But this time, the digit is five or more, so we can round up. The number that we write as 230 when we round it to the nearest 10 is 228.

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