Divide whole numbers with decimal quotients: 5÷2

so in this video we're going to think about dividing numbers where the quotient the result of our division might result in a decimal so let's say we wanted to compute what 5/2 is in the past you might have said hey 2 times 2 is 4 and then you have 1 left over and so you might have said something like this this is 2 with a remainder of 1 but now we don't want we wanted to say hey how many times can it go in and what's left over we want to know exactly how many times can to go into 5 so we want a decimal answer right over here so pause this video and see if you can figure that out all right now let's work through this together and there's many ways that we can approach this one way is to realize that 5 divided by 2 we can re-express as 5 divided by 2 or as 5 halves and 5 halves is the same thing as 4 plus 1 over 2 which is the same thing as 4 halves plus 1/2 which is the same thing as 4 halves is to let me do that in a different color this part over here is 2 and then you have this 1/2 so it's the same thing as 2 and 1/2 and if we were to express that as a decimal that's going to be equal to 2 and how many tenths is equal to 1/2 well 5 tenths is equal to 1/2 so 5 divided by 2 you could say is 2.5 now another way that you could approach this is you say 5 divided by 2 is the same thing as 50 tenths divided by 2 so let me use a different color here so instead of a 5 I could say 5 is the same thing as 50 tenths 50 tenths divided by divided by 2 and so if I have 50 of something and if I were to divide it in by 2 well that's going to result in 25 of the something so this is going to be equal to 25 tenths and how would we express 25 tenths as a decimal well this is going to be equal to I could put some place values here so we definitely have 5 tenths I'll put that in the tenths place and then 20 tenths 20 tenths is the same thing as two ones and that's exactly what we had up here either way you get to point five two ones and five tenths