Rounding to the Nearest 1,000, 10,000, & 100,000

Welcome to Math with Mr. J. In this video, I'm going to cover how to round to the nearest thousand, ten thousand, and hundred thousand. We'll start with rounding to the nearest thousand and then go from there. Everything is time stamped and put into chapters, so feel free to jump around to different examples. 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 1,000. So for number one here, we need to figure out which thousand this is closest to. Now 2,730 is between 2,000 and 3,000. 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 2 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 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 five right here. Now we need to take a look at the digit to the right. We have a four. That's going to tell us if we round up or down. Four is four or less. So we let it rest. We round down here. That means the digit in our rounding place, that 5 in the thousands, stays the same, and we round down to 5,000. So that 5 stays the same, and then all of the digits to the right become zeros. 5,493 rounds to 5,000 when rounded to the nearest thousand. Moving on to number 3, we have 16,524. Now, this number goes to the 10,000th place, so we need to be careful here. Do not underline the one in the 10,000th place and round to the nearest 10,000. That would be correct if we were rounding to the nearest 10,000, 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 6 rounds up to a 7. 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 three in the ten thousands place the same. Remember, anything to the left of the rounding place does not change. And then the eight 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. Now let's move on to rounding to the nearest 10,000. Here's our section on rounding to the nearest 10,000. Let's jump into number one where we have 23,625. Now when we round to the nearest 10,000, we're finding the closest 10,000. So 10,000, 20,000, 30,000, 40,000, and so on. All of the numbers we get when we count by 10,000. So for number one here, we need to figure out which 10,000 this is closest to. 23,625 is between 20,000 and 30,000. So which is it closer to? The first thing that we need to do is find the place we are rounding to. So the ten thousands place here. Let's underline the digit in the ten 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 10,000 we are closer to here. 20,000 or 30,000. Let's actually draw an arrow to show that we are looking at the digit to the right. Our digit to the right is a 3. That's 4 or less. 4 or less, let it rest. That means the digit in our rounding place, the 2 in the 10,000s, stays the same and we round down so that 2 stays the same and then all of the digits to the right become zeros. So 23,625 rounds to 20,000 when rounded to the nearest 10,000. Moving on to number two, we have 76,132. Let's round to the nearest 10,000. So is this closer to 70,000 or 80,000? We'll start by underlining the digit in the 10,000s place. This seven right here. Next, we need to look at the digit to the right. That's going to tell us if we round up or down. We have a 6 to the right. 6 is 5 or more. So we need to raise the score. We need to round up. That means we need to add 1 to the digit in the rounding place. So that's 7. The 7 changes to an 8 and this rounds up to 80,000. So that's 7 rounds up to an 8 and then all of the digits to the right become zeros. 76,132 rounds to 80,000 when rounded to the nearest 10,000. Moving on to number three, we have 154,476. Now this number goes to the hundred thousands place, so we need to be careful. Do not underline the one in the hundred thousands place and round to the nearest 100,000. That would be correct if we were rounding to the nearest 100,000, but we're not. We're rounding to the nearest 10,000. So we need to find the 10,000ths place and underline that digit. That's going to be this 5 right here. So when we round this to the nearest 10,000, we're seeing if this is closer to 150,000 or 160,000. So let's take a look at the digit to the right to see if this will round up or down we have a four to the right four is four or less so we let it rest this is going to round down so that five stays the same and this rounds to 150,000 so we keep that one in the hundred thousands place anything to the left of our rounding place stays the same. We do not change it. And then the 5 in our rounding place stays the same. So we have a 5 and then all of the digits to the right become zeros. 154,476 rounds to 150,000 when rounded to the nearest 10,000. Lastly, let's move on to number 4 where we have 365,982. Let's round to the nearest 10,000. So is this closer to 360,000 or 370,000? Let's start by underlining the digit in the 10,000s place. That's going to be this 6 right here. Now we need to look at the digit to the right. That will tell us if we round up or down. We have a 5 to the right. 5 is 5 or more. So we raise the score here. We round up. So we need to add 1 to the digit in our rounding place. That's 6 in the 10,000th place. So the 6 is going to change to a 7. It's going to round up to a 7. So we keep that 3 in the 100,000th place. Remember, anything to the left of our rounding place, we do not change. And then that 6 changes to a 7. It rounds up to a 7. And then all of the digits to the right of our rounding place become zeros. So 365,982 rounds to 370,000 when rounded to the nearest 10,000. Now let's move on to rounding to the nearest 100,000. Here's our section on rounding to the nearest 100,000. Let's jump into number one where we have 546,943. Now, when we round to the nearest 100,000, we're finding the closest 100,000. So, 100,000, 200,000, 300,000, 400,000, and so on. All of the numbers we get when we count up by 100,000. So for number one here, we need to figure out which 100,000 this number is closer to. It's between 500,000 and 600,000. So which is it closer to? The first thing that we need to do is find the place we are rounding to. We are rounding to the nearest 100,000. So let's underline the digit in the hundred thousands place. That's going to be this five right here. Next we look to the right of the place we are rounding to. Our digit to the right is a four, so that's four or less. That means we need to let it rest. So the digit in our rounding place, the five in the hundred thousands, stays the same and we round down. So that five stays the same and then all of the digits to the right become zeros. 546,943 is closer to 500,000 than it is to 600,000. So this rounds to 500,000 when rounded to the nearest 100,000. Moving on to number two, we have 175,215. Let's round to the nearest 100,000. So is this closer to 100,000 or 200,000? We'll start by underlining the digit in the hundred thousands place. That's this one right here. Now we need to look at the digit to the right. That's going to tell us if we round up or down. Well, we have a seven to the right. That's five or more. So we round up here. So we need to add 1 to the digit in our rounding place, the 1 in the hundred thousands place, so that 1 changes to a 2 and then the digits to the right become zeros. 175,215 rounds to 200,000 when rounded to the nearest hundred thousand. Moving on to number 3, we have 653,870. Let's round to the nearest hundred thousand. We'll start by underlining the digit in the hundred thousands place. That's going to be this six right here. Now we need to take a look at the digit to the right. That's going to be a five. That digit to the right will tell us if this is closer to six hundred thousand or seven hundred thousand. Now 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. So add one to that six. That gives us a seven in the hundred thousands place. And then the digits to the right become zeros. 653,870 rounds to 700,000 when we round to the nearest hundred thousand. Lastly, let's move on to number 4, where we have 829,794. Let's round to the nearest 100,000. So is this closer to 800,000 or 900,000? We'll start by underlining the digit in the 100,000's place, so that 8. Now we need to look at the digit to the right. We have a 2. 2 is 4 or less, so we let it rest. That eight stays an eight. We round down here. So we have an eight in the hundred thousands place, and then the digits to the right become zeros. So 829,794 rounds to 800,000 when rounded to the nearest hundred thousand. So there you have it. That's how round to the nearest 1,000, 10,000, and 100,000. I hope that helped. Thanks so much for watching. Until next time, peace.