Rounding to the Nearest 10,000

Welcome to Math with Mr. J. In this video, I'm going to cover how to round 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 10,000's 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 ten thousand we are closer to here. Twenty thousand or thirty thousand. 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 will help us remember the rounding rules. Our digit to the right is a three. That's four or less. Four or less, let it rest. That means the digit in our rounding place, the two in the ten thousands, stays the same and we round down. So that two 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. 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 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 10,000's place. This 7 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 six to the right. Six is five or more. So we need to raise the score. We need to round up. That means we need to add one to the digit in the rounding place. So that's seven. The seven changes to an eight and this rounds up to 80,000. So that's seven rounds up to an eight, 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 hundred thousand. That would be correct if we were rounding to the nearest hundred thousand, but we're not. We're rounding to the nearest ten thousand. So we need to find the ten thousands place and underline that digit. That's going to be this five right here. So when we round this to the nearest ten thousand, 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 4 to the right. 4 is 4 or less, so we let it rest. This is going to round down so that 5 stays the same, and this rounds to 150,000. So we keep that 1 in the hundred thousands place. Anything to the left of our rounding place stays the same. We do not change it. And then the five in our rounding place stays the same. So we have a five 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 four, 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 six 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 five to the right. Five is five or more. So we raise the score here. We round up. So we need to add one to the digit in our rounding place. That's six in the ten thousands place. So the six is going to change to a seven. It's going to round up to a 7. So we keep that 3 in the hundred thousands 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. So there you have it. There's how to round to the nearest 10,000. I hope that helped. Thanks so much for watching. Until next time, peace.