Graphing hundredths from 0 to 0.1 | Math | 4th grade | Khan Academy

Graph 0.04 on the number line.

So here we have this number line that goes from 0 to 0.1, or 1/10. Between 0 and 1/10, we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 equal spaces. Each of these spaces represents 1/10 of the distance. It's 1 out of 10 equal spaces, or we could say it is one-tenth of this tenth.

It's a tenth of the way to one-tenth. That's a little bit tricky. Maybe let's pause and look at that visually and think about what does a tenth of a tenth really mean.

So here I have already drawn a picture that's divided into ten equal pieces. If we shade one of them, then we're shading one-tenth. This right here is one-tenth, and this amount right here is what the number line showed: the whole number line showed one tenth. But then we had divided that tenth into ten equal pieces.

So if we split that ten into ten equal pieces, we're going to have something like this. Here again, this top row would represent the entire tenth from the whole number line, but each little piece would be one of those one-tenth of that whole tenth. So this is what each little piece on the number line represents, or we could say that's one one-hundredth.

A tenth of a tenth is a one-hundredth because when you divide 10 into 10 equal pieces, you're going to end up with a hundred pieces. So a tenth of a tenth is a one-hundredth.

Looking back at the number line now, we know that this distance, a tenth of our tenth, is a one-hundredth. We want to graph 0.04. Well, this 4 right here, this 4, let's think about place value: the zeros and the ones, the next zero and the tenth, and this four is in the hundredth.

So we could call this four hundredths or even the fraction four hundredths. If one of these lengths is 100 and we want to go four hundredths, then we're going to need to go four of these lengths. One, two, three, four of these lengths would be four of the hundredths or zero point zero four.