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Multi-step unit conversion examples (metric)

Thuyết minh video

Tomas dropped off two packages to be shipped one package weighed 1.38 kilograms and the other package weighed 720 grams so the first one given kilograms and the second one to give us in grams what was the combined weight of both packages in grams so what I want to do is I'm going to convert both of these to grams and then add them up to get the combined weight well we already know the second one is its 720 grams but what's the first one in terms of grams well let's see one 0.38 I could write kilograms like that well if one kilogram is 1,000 grams and that's what the prefix kilo means it means a thousand well to go from one to 1.38 I'm multiplying by one point three eight so I'm also if I want in terms of grams I'll take a thousand grams and multiply by one point three eight so this is going to be one thousand times one point three eight is one thousand three hundred and eighty grams which I could have just denoted with a G but now let's add those together this is the first package and the second package is seven hundred and twenty grams and so if I were to add this is going to be let's see zero ten let's see four plus seven is 11 and then one plus one is two we get 2100 grams in total let's do another one of these unit conversion examples Julia and her friends are making kites out of paper for each kite they need a piece of paper that is 0.65 meters wide how many centimeters how many centimeters of paper will they need to make four kites so they tell us how wide the paper is in meters for each kite but they want the answer in centimeters and we went for four kinds so let's think about a little bit each kite is 0.65 meters 0.65 meters so to go from 1 to 0.65 you multiply by 0.65 on the meters and so to go to 100 centimeters to the number of centimeters you need for the width of a kite you'd similarly x 0.65 well 65 hundredths times 100 is going to be 65 65 centimetres per kite so this is 0.65 meters wide per kite and centimeters it is 65 centimeters now they don't want just how much paper will they need to make one kite they want four kites so we would multiply this times four this is how much we need per kite so let's multiply that times four and so let's see four times five is twenty four times six is 24 plus two is 26 260 centimeters of paper for the width of the four kites let's do one more of these this is a volume conversion Omar is pouring five liters of water into two goldfish bowls he spills 200 milliliters of water and then divides the remaining water evenly between the two bowls how many milliliters of water does Omar pour into each Bowl we want our answer at the end in milliliters and so let's just convert the amount that he starts with into milliliters so he starts with five he starts with five liters so how many milliliters is that going to be well they tell us one liter is 1000 milliliters so if we have five liters so we're multiplying our quantity times five it's going to be five times it's going to be five times as many milliliters so that thousand times five is five thousand mili liters so that's what he starts with now before he splits this five thousand milliliters between between these two bowls he spills 200 milliliters so let's subtract out what he spills because he that's not going to be able to be split milliliters and so that's going to give us so we're going to have 4,800 milliliters to split between those two bowls and so each Bowl they that's what they ask us how many milliliters of water is you pour into each Bowl well see if he's going to split this into two bowls each Bowl is going to get half of this and so each Bowl is going to get half of 4,800 so we just divide that by two so each Bowl is going to get 2,400 milliliters 2,400 milliliters and 2,400 mili liters that's how much each Bowl is going that's how much omar is going to pour into each Bowl