Rounding to the Nearest 10 | 2-Digit Numbers

Welcome to Math with Mr. J. In this video, I'm going to cover how to round two-digit numbers to the nearest 10. Remember, when we round, we find a number that's close to the original number, but easier to work with. Sometimes we don't need an exact answer. We just need a quick estimate, so we can use rounding. Let's jump into number one, where we have 68. We are rounding to the nearest 10. So is 68 closer to 60 or 70? The first thing that we need to do when rounding is find the place we are rounding to. Again, we are rounding to the nearest 10. So we are rounding to the 10's place. Let's underline the digit in the 10's place. That's this 6 right here. Now 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 round down. Basically, the digit to the right tells us which 10 we are closer to here, 60 or 70. Let's actually draw an arrow showing 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. And this rhyme can help us remember this. 5 or more, raise the score. 4 or less, let it rest. Now 8 is 5 or more, so we raise the score. That means we add 1 to the digit in the rounding place. We add 1 to the 6 in the 10's place. So the 6 in the 10's place changes to a 7, and we need a 0 in the 1's place. We round up to 70. 68 is closer to 70 than it is to 60. So 68 rounds to 70 when rounded to the nearest 10. Now before moving on to number 2, I do want to mention the squiggly equal sign here. This is the approximate symbol, and we can use it when rounding. This tells us we have a number that's close but not exact. 68 is not equal to 70, so we can't use an equal sign here. Instead, we use the approximate symbol to show that we rounded. Moving on to number 2, we have 32. Let's round to the nearest 10. So is 32 closer to 30 or 40? First, let's underline the digit in the place we are rounding to, the 10's place. We have a 3 here. Now we need to look at the digit to the right. And that digit will tell us if we round up or down. We have a 2 to the right. Is 2 5 or more or 4 or less? 2 is 4 or less. 4 or less? Let it rest. That means the digit in the place we are rounding to stays the same, and we round down. So that 3 stays the same, and then we need a 0 in the 1's place. We round down to 30. 32 is closer to 30 than it is to 40. 32 rounds to 30. Moving on to number 3, we have 55. We need to round to the nearest 10. Let's start by underlining the digit in the place we are rounding to. That's going to be this 5 in the 10's place. Now let's look at the digit to the right. We have a 5. 5 is 5 or more. So we raise the score. We add 1 to the digit in the rounding place. We round up. So the 5 in the 10's place is now a 6. And we need a 0 in the 1's place. We round up to 60 here. 55 rounds to 60. Now 55 is exactly halfway between 50 and 60. So it's the same distance from both. But remember, whenever we have something exactly halfway between, we always round up. Lastly, for number 4, we have 84. Let's round this to the nearest 10. So we'll underline the digit in the 10's place. This 8 right here. Now we need to look at the digit to the right. We have a 4. 4 is 4 or less. So we let it rest. The digit in the place we are rounding to stays the same. And we round down. So 8 stays the same. And then we need a 0 in the 1's place. So we round down to 80. 84 rounds to 80. 84 is closer to 80 than it is to 90. So there you have it. There's how to round two-digit numbers to the nearest 10. I hope that helped. Thanks so much for watching. Until next time, peace.