If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

Current time:0:00Total duration:2:39

CCSS.Math:

Graf's 0.04 on the number line so here we have this number line that goes from zero to 0.1 or one tenth and between zero and one tenth we have one two three four five six seven eight nine ten equal spaces so each of these spaces represents one tenth of the distance is one out of ten equal spaces or we could say it is one tenth of this tenth is 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 and 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 so 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 or 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 100 because when you divide ten into ten equal pieces you're going to end up with a hundred pieces so a tenth of a tenth is 1/100 so looking back at the number line now we know that this distance a tenth of our tenth is 1/100 and 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 year on the tenth and this 4 is in the hundredths so we could call this 4 hundreds or even the fraction four hundredths so if one of these lengths is one hundredth and we want to go for hundreds then we're going to need to go four of these links one two three four of these links would be four of the hundredths or 0.04