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Video transcript

Mary made 15,000 milliliters of tea for party and she served the tea divided equally in eight pitchers her guests drank six pitchers of tea how much tea did Mary have leftover right the answer is a whole number of liters and a whole number of milliliters so let's think about this a little bit she's got eight pitchers so let's visualize these pitchers so let me see if I can see let me draw a picture here so this is one pitcher do my best to draw a nice pitcher so this is one pitcher and she's going to put the same amount of tea in every pitcher so the same amount of tea in every pitcher and let me copy and paste this so copy and paste so she's going to have eight of these so that's two three four five six seven and eight so she wants to put the exact same amount of fluid in each of these eight so she's going to divide evenly the fifteen thousand milliliters into eight pitchers so that's straight up division she's going to start with fifteen thousand milliliters fifteen thousand and she's going to divide it by eight she's going to divide it into 8 equal groupings or eight equal pictures of the same amount in each of the pitchers so 8 goes into doesn't go to one it goes into 15 one time 1 times 8 is 8 subtract 15 minus 8 is 7 so bring down a 0 8 goes into 70 8 times 8 times 8 is 64 subtract we get a 6 bring down another 0 8 goes into 60 7 times 7 times 8 is 56 subtract again we get a 4 then bring down a 0 again 8 goes into 40 exactly 5 times 5 times 8 is 40 and we're not left with a remainder so if we divide 15,000 milliliters into 8 equal sections each pitcher is going to have exactly 1875 million so that's 1875 milliliters but that's not what they're asking us for they tell us that her dress her guests drank six pitchers of tea and how much tea did Mary have leftover so the guests drank one two three four five six leaving two pitchers left how much total tea is going to be in that was going to be two times 1875 or 1875 milliliters times two to figure out what that is two times five is ten two times seven is 14 plus 1 is 15 2 times 8 is 16 plus one is 17 two times one is two plus one is three so what she's left with what she's left over with is three thousand 750 milliliters now they want our answer in terms of a whole number of liters and a whole number of milliliters and we just have to remind ourselves that one thousand one thousand milliliters is equal to one liter so you could rewrite this this is a total number of milliliters that she's left with we could rewrite this as three thousand three thousand milliliters plus 750 milliliters now the reason I wrote it this way is because of three thousand milliliters this is literally three thousand one thousandth of a milliliter we already saw that 1000 milliliter is equal to one liter so this piece right over here this is equal to three liters this is equal to three liters so if we wanted to write it as a whole number of liters and a whole number of milliliters this would be three liters three liters and and 750 milliliters 750 milliliters