Question Video: Rounding Four-Digit Numbers to the Nearest Thousand Mathematics

Benjamin has $6,624. He wants to round this number to the nearest thousand. Complete: The number 6,624 is between _ and _. How much money, to the nearest thousand, does Benjamin have?

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Video Transcript

Benjamin has 6,624 dollars. He wants to round this number to the nearest thousand. Complete. The number 6,624 is between what and what. 4,000 and 5,000; 5,000 and 6,000; 6,000 and 7,000; or 7,000 and 8,000. How much money to the nearest thousand does Benjamin have?

In this question, we’re told that Benjamin has a four-figure sum of money. He has 6,624 dollars. And we’re also told that he wants to round this number to the nearest thousand. When we round a number, we make it simpler. Perhaps Benjamin has been asked about, how much money do you have? Or maybe, can you tell me roughly how much you have? And so, he doesn’t need to say the exact amount he can make the number simpler. He can round it to the nearest thousand.

And the first thing he needs to do is to think about the two multiples of a thousand that this number is in between. Then, he knows, whether he rounds it up or down, what numbers he’s rounding to. And the first part of this question takes us through this. We’ve got a sentence that we need to complete. The number 6,624 is between what and what. Let’s think about this number for a second. It’s made up of six 1000s, six 100s, two 10s, and four ones. Now, which of these digits do you think is most important if we’re thinking about the multiples of a thousand that this number is in between? It’s the thousands digit. It tells us where this number belongs.

Benjamin’s number has a six in the thousands place. It’s six thousand something, so it’s greater than 6,000. But if Benjamin carried on counting from his number, the next 1,000 after his number would be 7,000. The number 6,624 is between 6,000 and 7,000. Now, which one of these is Benjamin going to round his number to? Is he going to round it down or up? The last part of the question asked us to actually find the answer. How much money to the nearest thousand does Benjamin have?

We can find the answer by looking at a different digit. This time, we can look at the hundreds digit, which is a six. And we can remember one of the rules about rounding here. If the digit is a five or more, so that’s five, six, seven, eight, or nine, we round our number up. And our hundreds digit is a five or more, so we need to round our number up. So, when Benjamin is asked the question, “About how much money do you have?”, he can say, well, roughly 7,000 dollars. In this question, we rounded an amount of money to the nearest thousand. By looking at the thousands digit, we could tell that the number 6,624 is between 6,000 and 7,000. And then by looking at the hundreds digit, we knew we had to round up. Benjamin has to the nearest thousand dollars 7,000 dollars.

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