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:4:46

Pattern when dividing by tenths and hundredths

CCSS.Math:

Video transcript

let's see if we can figure out what to divided by 0.1 or 1/10 is pause this video and see if you can figure that out all right now let's work through this together and there's a couple of ways that we can approach it one way is to think about everything in terms of tenths so two wholes is how many tenths while a whole is equal to ten tenths so two wholes is equal to 20 tenths so I could write the to rewrite the two as 20 tenths and so that's going to be 20 tenths divided by and instead of writing it this way I could instead of writing it as 0.1 we know this is the same thing as 1/10 so divided by 1/10 and so if I have 20 of something and if I divide it by into groups of one of that something how many groups am I going to have well I'm going to have 20 equal groups of one so 20 tenths divided by 1/10 is equal to 20 another way that you could approach that is you could rewrite the 0.1 the 1/10 as a fraction we could rewrite this as two divided by the divided by instead of writing 1/10 like this I could write it as a fraction divided by 1/10 well we know that dividing by 1/10 is the same thing as multiplying by 10 so this is going to be equal to 2 times 2 times 10 and that gets us to the same place that we had before what is 2 times 10 well that is going to be equal to 20 and that's good that we got to the same answer otherwise these would not be equivalent methods let's do another example so let's say we wanted to figure out what 6 divided by 1/10 is pause this video and see if you can figure that out all right well you could do the same idea 6 holes is equal to how many tenths it's equal to 60 tenths so I'll rewrite this as 60 tense / one-tenth is equal to how many is equal to what well if I have 60 of something and if I divide it into groups of one of that something I'm gonna have 60 equal groups of one so this is going to be equal to 60 so you might see a pattern when we divided by 1/10 we end up multiplying by 10 when we divide by 1/10 we are multiplying by 10 and you can do the same thing as we saw up here you could take you could say 6 divided by 1/10 is the same thing as 6 divided by 1/10 written as a fraction which is going to be equal to 6 times you could say 6 times 10 or 6 times 10 over 1 either way 6 times 10 over 1 or which is the same thing as 10 which is once again going to be equal to 60 so I think you see the general pattern divided by 10 same thing as multiplying by 10 now what about if we dealt with hundreds so let's say we want to figure out what 7/8 hundredths is what would this be pause this video and try to figure it out all right well we could do the same drill so 7 holes 1 hole is equal to 100 hundredths so 7 holes is equal to 700 hundredths so this is equal to I'll write it like this seven hundred hundredths under its / / 101 undress if I have seven hundred of something and if I'm dividing it into equal groups of 1 of that something I'm gonna have seven hundred equal groups so this is going to be equal to seven hundred so you divide by a hundredth is the same thing as multiplying by a hundred now you could also rewrite this as a fraction if you like so that some of the principles we saw up here still apply so we could rewrite this as seven divided by 100 and so this is going to be the same thing as seven times 100 over one or seven times 107 times 100 which once again will get you to 700 so I think you see a pattern divided by 10th same thing as multiplying by 10 divided by hundreth same thing is multiplying by a hundred