Round 2.8652 to two decimal places.
The first thing to do with this question and this number is have a look at what would be the first decimal place. Well, the first decimal place is the first digit after the decimal point, so to the right of the decimal point. So therefore, if we want to round this number to two decimal places, we’re gonna have a look at the second decimal place, which is actually going to be the digit to the right of this, so in this case the six.
What I’ve done is I’ve actually drawn a vertical line down after the six so we know that this is what we’re looking at. Now what we need to do to be able to round is actually look at the digit or place value to the right of this. And in that place, we actually have a five.
Now if this is actually a number less than five, then the six would actually remain the same; we wouldn’t change it. However, as five is actually greater than or equal to five, then we’re actually gonna round the six up. So therefore, it’s gonna round from a six to a seven. So we can say that 2.8652 is equal to 2.87 rounded to two decimal places. And that’s what two dp stands for.
It’s worth mentioning one common mistake that I’ve seen a few students make at this point. When you actually see that the number after the digit you’re looking at is actually five or greater than that, then what we do is, like I said, we round up the previous digit, so we rounded the six to a seven. Do not just swap the digits. So don’t say that it’d be 2.85. That’s not what happens. But I have seen that as a common mistake.