Rounding to the Nearest 1,000

Welcome to Math with Mr. J. In this video, I'm going to cover how to round to the nearest thousand. Let's jump into number one, where we have 2,730. Now, when we round to the nearest thousand, we're finding the closest thousand. So, 1,000, 2,000, 3,000, 4,000, and so on. all of the numbers we get when we count by 1000. So for number one here, we need to figure out which thousand this is closest to. Now 2730 is between 2000 and 3000. So which is it closer to? Now the first thing that we need to do is find the place we are rounding to. So the thousands place here. And let's underline the digit in the thousands place. That's going to be this two right here. Next, we look to the right of the place we are rounding to. The digit to the right will tell us if we round up or down. Basically, the digit to the right will tell us which thousand we are closer to here, 2,000 or 3,000. Let's actually draw an arrow to show that we are looking at the digit to the right. And that brings us to our rounding rules. If the digit to the right is five or more, we round up. If the digit to the right is four or less, we round down. We can think five or more, raise the score. Or four or less, let it rest. And that can help us remember the rounding rules. So taking a look at the digit to the right, we have a seven. Seven is five or more, so we need to raise the score. we round up here. That means we need to add one to the digit in the rounding place, that two in the thousands. So that two rounds up to a three. So that two is now a three, and the digits to the right become zeros. So 2,730 rounds to 3,000 when rounded to the nearest thousand. And by the way, that squiggly equal sign there, that is the approximate symbol, and we can use it when rounding. This tells us we have a number that's close, but not exact. These numbers aren't equal, so we can't use an equal sign here. Instead, we use the approximate symbol to show that we rounded. Moving on to number two, we have 5,493. Let's round to the nearest thousand. So is this closer to 5,000 or 6,000? We'll start by underlining the digit in the thousands place. So this 5 right here. Now we need to take a look at the digit to the right. We have a 4. That's going to tell us if we round up or down. 4 is 4 or less. So we let it rest. We round down here. That means the digit in our rounding place, that five in the thousands, stays the same. And we round down to five thousand, so that five stays the same, and then all of the digits to the right become zeros. Five thousand four hundred ninety three rounds to five thousand when rounded to the nearest thousand Moving on to number three, we have 16,524. Now this number goes to the ten thousands place, so we need to be careful here. Do not underline the one in the ten thousands place and round to the nearest ten thousand. That would be correct if we were rounding to the nearest ten thousand, but we're not. We're rounding to the nearest thousand. So we need to find the thousands place and underline that digit. That's going to be this 6 right here. Now since we're rounding to the nearest thousand here, we're seeing if this is closer to 16,000 or 17,000. So let's look to the right to see if we round up or down. We have a 5 to the right. Five is five or more. So we raise the score. We round up. So we need to add one to the digit in the rounding place. The six in the thousands. So that rounds up to a seven. This is going to round to 17,000. So we keep the one in the ten thousands place. Keep in mind anything to the left of the rounding place stays the same. Then the six rounds up to a seven. And then all of the digits to the right become zeros. So 16,524 rounds to 17,000 when rounded to the nearest thousand. Let's move on to number four where we have 38,378. Let's round this to the nearest thousand. So is this closer to 38,000 or 39,000. We'll start by underlining the digit in the thousands place. This eight right here. Now we need to look to the right to see if we round up or down. We have a three to the right. Three is four or less. So we let it rest. That eight is going to stay the same. And we round down here. So we keep that 3 in the 10,000th place the same. Remember, anything to the left of the rounding place does not change. And then the 8 in the thousands place stays the same. We're rounding down to 38,000. And then the digits to the right become zeros. So 38,378 rounds to 38,000 when rounded to the nearest thousand. So there you have it. There's how to round to the nearest thousand. I hope that helped. Thanks so much for watching. Until next time, peace.