Identifying tenths on a number line | Math | 4th grade | Khan Academy

Where is the point on the number line? Well, here it is; here's the point! But I'm guessing that they're asking not literally just to find it and look at it, but what number is this point graphed at? Where is this on the number line?

So, one thing we know pretty quickly is the number is between 3 and 4. It's greater than 3, but it's not quite 4. But to figure out how much greater than 3, we need to know what these black tick marks represent.

So, between 3 and 4, there's 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 equal spaces. So, each of these distances, each of these equal spaces, is one tenth. Or, one tenth of the distance between 3 and 4 is one out of ten equal spaces.

So, if that's one tenth, and this next space is another one tenth, then we have to travel one more tenth to get to our point. So, we went three; we know it's 3 plus 1, 2, 3 tenths, which is 3 and 3 tenths.

Or, let's write this as a decimal. Let's look at it as a decimal. If we wanted, we could have our ones place value, and then after the ones, the decimal, and the tenths. So, for the ones, there's three ones. And how many tenths did we see here? There were three tenths.

So, either way we can say 3 and 3 tenths, or 3 and 3 tenths. Our decimal, our point, is 3.3 on the number line.