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# Relating division to multiplication

CCSS.Math:

## Video transcript

let's say someone walks up to you on the street and says to you fifty divided by five 50 divided by 5 is equal to blank is equal to blank how can you think about this as a multiplication problem well whatever blank is whatever blank is if you multiply it by five if you multiply by five you should get 50 you should get 50 you should get 50 so one way of thinking about it you could say what times five is fifty well ten times five is fifty ten times 5 is 50 so 50 divided by five is going to be ten hopefully you see the relationship here 50 divided by five is 10 then 10 times 5 is 50 10 times 5 is 50 and you could do with the other way around what is 50 divided by 10 going to be 50 divided by 10 well that's going to be equal to 5 50 divided by 10 is going to be equal to 5 how do I know that well 5 times 10 5 times 10 5 times 10 is equal to 50 is equal to 50 so let's keep thinking about this if someone walked up to the street again and said blank blank / / - blank / - is equal to is equal to 9 how would you figure out what blank is something divided by 2 is equal to 9 well one way to think about it and if we just follow here if you said 50 divided by 5 is 10 you could say 10 times 5 is 50 so right over here we could say well 9 times 2 9 times 2 must be equal to blank must be equal to our blank well we know what 9 times 2 is that is 18 so this must be 18 18 divided by 2 is 9 and that's really say describing how 18 2 & 9 relate to each other two nines is 18 or 9 2 s is 18 or if I were to divide 18 into two groups each group would have nine or if I were to divide it into groups of two you would have nine groups any way you look at it 18 divided by 2 is 9 9 times 2 is 18 let's do one more of these so someone walks up to you on the street and tells you and tells you that 12 divided by divided by blank 12 divided by a blank is equal to 3 is equal to 3 what is blank going to be well one way to think about this is 3 times blank is going to be equal to 12 3 times blank three times this unknown number is going to be equal to 12 and three times what is equal to 12 well 3 times 4 is equal to 12 so 12 divided by 4 is equal to 3