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Rounding Numbers to the Nearest Ten - Lesson 12 in the math series from mathwithlarry.
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Rounding Numbers to the Nearest Ten - Lesson 12
This is the video for lesson 12 on my website rounding numbers to the nearest ten. The general idea behind rounding numbers is that we round when we want to be able to estimate an answer. So for example, if we are at the supermarket and an item closed to $1.95 we can just think of it as $2.00 just to help us get an idea of what are total bill will be. We are just rounding or estimating.
In this lesson we will learn specifically how to round the numbers to the nearest ten and here is how this works. I'm going to write the number 738 and we know from previous lessons that the 8 in the ones place, the 3 is in the tens place and the 7 is in the hundreds place. Now here is how rounding works. Here is the rule that we follow.
To round to the nearest ten if the digit in the ones place is five or higher you round the tens place up. If it’s 4 or lower you leave the tens place as is and the digits in the other places don’t matter at all so let’s see how this works. I think it is a good idea to underline the place that you're rounding to just so that you don’t forget so we’re going to round to the tens place and I'm going to circle the digit in the ones place just so that we’re reminded and that is where we should look. That is the significant digit that we have to look at.
Now the digit in the ones place is 8 which is certainly five or higher so that means we’ll be rounding the tens place up so 738 becomes 740. It’s as simple as that and it becomes an easier to work with it for adding or subtracting. It will help us get a general idea of what our answer will be. Let’s take a look at another example. Let’s look at the number 293.
Now again according to our rule the digits and all the other places don’t matter. We’re going to be rounding to the nearest 10 and we’re going to be taking a look at a digit in the ones place since that digit is four or lower we’re just going to leave it at tens place as is and the number becomes 290, rounding to the nearest ten. Let’s take a look at another example.
Let’s take a look at the number 197, again, the digit in the hundreds place does not matter. We’re going to round to the nearest ten and we’re going to take a look at the digit in the ones place. The digit in the ones place is the 7 which is five or higher so we have to round the tens place up. Now the thing is since the digit in the tens place is a 9 then we have to round off we have nowhere to go so in this case what we have to do is make the 1 into a 2 and the 9 becomes a 0.
Essentially the 1-9 here, the 19 became a 20 and 197 rounds up to 200 so make sure you see how that works. Compare that to their first example where we had an 8 in the ones place and the 3 just became 4. Okay this is just a very basic introduction to rounding. In later lessons you'll learn how to round to different place of values such as hundreds or thousands.