Liters and Milliliters | Converting L to mL and Converting mL to L | Math with Mr. J

[Music] welcome to math with mr j [Music] in this video i'm going to cover how to convert between liters and milliliters so liters to milliliters and then milliliters to liters now one thing to keep in mind 1 liter equals 1 000 milliliters we need this information in order to convert let's jump into number one where we have 8 liters equals how many milliliters well one liter equals one thousand milliliters so we have one thousand milliliters one thousand milliliters one thousand milliliters eight times in other words eight times one thousand so we have eight thousand milliliters here eight liters equals eight thousand milliliters so when we go from liters to milliliters we multiply by one thousand let's move on to number two where we have 71 and 46 hundredths or 71.46 liters equals how many milliliters now this number is not as easy to work with as the eight liters in number one we were able to use mental math for number one for number two we still need to multiply by 1000 because we're going from liters to milliliters when we multiply something by 1000 we can actually make this really simple all we need to do is move the decimal three times to the right when we multiply something by 1000 each digit of that number shifts three places to the left the value of the number increases by one thousand in other words we multiplied by one thousand so technically the digits shift or move and increase in value but let's make this simple and move the decimal in order to push all of our digits to the correct place so to speak so again move the decimal three times to the right when we multiply by 1000 so let's rewrite 71 and 46 hundredths here and move the decimal once twice and three times to the right fill this gap with a zero and our answer is 71 460. so 71.46 liters equals 71 460 milliliters let's see if that works for number one as well as far as moving the decimal so let me rewrite eight and the decimal goes after a whole number let's move it once twice and three times to the right fill the gaps with zeros and we get eight thousand that way as well so to recap when we go from liters to milliliters we multiply by one thousand and we can do that by moving the decimal three times to the right let's move on to number three where we have thirteen thousand milliliters equals how many liters well each group of one thousand milliliters equals a liter so we need to think how many groups of one thousand are in thirteen thousand meaning thirteen thousand divided by a thousand that gives us 13. so 13 000 milliliters equals 13 liters so when we go from milliliters to liters we divide by one thousand let's move on to number four where we have 289 milliliters equals how many liters so milliliters to liters we divide by one thousand now this number isn't as easy to work with as the thirteen thousand in number three we used mental math for number three for number four what we can do we can move the decimal three times to the left when we divide by 1000 we push each digit to the right three places this will give us one one thousandth the value of our original number meaning we're dividing by one thousand we can do this by just again moving the decimal three times to the left so 289 decimal goes at the end of a whole number so once twice and then three times to the left so the decimal is going to go in front of the two i'm going to put a zero here to show that we do not have any whole numbers so we get 289 thousandths or 0.289 so 289 milliliters equals 0.289 liters now that answer is less than one whole because if you think about it we need 1 000 milliliters to equal a liter and we don't have 1000 milliliters there we have less than 1000 so we have less than a whole liter now one more thing i do want to mention is the abbreviation for liter we use a capital l you'll normally see lowercase letters for abbreviations when it comes to units of measurement for example gram we use a lowercase g in the case of liter we use an uppercase l that way we do not confuse a lowercase l with a one for example one liter if we were to write 1 liter and use a lowercase l that looks like 11. so that's why we use the uppercase l when it comes to liters so there you have it there's how you convert between liters and milliliters so when we go from liters to milliliters multiply by 1000 and we can do that by moving the decimal three times to the right when we go from milliliters to liters we divide by 1000 and we can do that by moving the decimal three times to the left i hope that helped thanks so much for watching until next time peace