Rounding to the Nearest 100,000

Welcome to Math with Mr. J. In this video, I'm going to cover how to round 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 hundred thousand. 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. The digit to the right will tell us if we round up or down. Basically the digit to the right will tell us which hundred thousand we are closer to here. Five hundred thousand or six hundred thousand. Let's draw an arrow to show that we need to look at the digit to the right. And that brings us to our rounding rules. If the digit to the right is 5 or more, we round up. If the digit to the right is 4 or less, we round down. So we can think 5 or more, raise the score. Or if we have 4 or less, let it rest. And that can help us remember our rounding rules. Our digit to the right is a 4, 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. Now, before moving on to number two, I do want to mention that squiggly equal sign here. That's 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 175,215. Let's round to the nearest hundred thousand. 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 one to the digit in our rounding place, the one in the hundred thousands place. So that one changes to a two and then the digits to the right become zeros. 175,215 rounds to 200,000 when rounded to the nearest 100,000. Moving on to number three, we have 653,870. Let's round to the nearest 100,000. We'll start by underlining the digit in the 100,000's 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 600,000 or 700,000. 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 7 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 four where we have 829,794. Let's round to the nearest hundred thousand. 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 8 stays an 8. We round down here, so we have an 8 in the 100,000's place, and then the digits to the right become zeros. So 829,794 rounds to 800,000 when rounded to the nearest 100,000. So there you have it. That's how to round to the nearest 100,000. I hope that helped. Thanks so much for watching. Until next time, peace.