Kilograms and Milligrams | Converting kg to mg and Converting mg to kg | Math with Mr. J

[Music] welcome to math with mr j [Music] in this video i'm going to cover how to convert between kilograms and milligrams so kilograms to milligrams and then milligrams to kilograms now one thing to keep in mind one kilogram equals one million milligrams we need this information in order to convert let's jump into number one where we have seven kilograms equals how many milligrams so each kilogram is a million milligrams so we have 1 million milligrams 1 million milligrams 1 million milligrams 7 times in other words seven times one million which is seven million so seven kilograms equals seven million milligrams so when we go from kilograms to milligrams we multiply by one million let's move on to number two where we have 32 and 6 10 or 32.6 kilograms equals how many milligrams so kilograms to milligrams we need to multiply by 1 million now this number isn't as easy to work with as the seven kilograms and number one we were able to use mental math for number one for number two again we need to multiply by one million when we multiply something by one million we can actually make this really simple all we need to do is move the decimal six times to the right when we multiply something by one million each digit of that number shifts six places to the left the value of the number increases by one million in other words we multiplied by one million so technically the digits shift 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 when we multiply by one million we can move the decimal six times to the right so let's do 32 and six tenths and we'll move that decimal once twice three times four times five times and six times fill these gaps with zeros and that is our answer so we have 32 million six hundred thousand so 32 million 600 000. so 32.6 kilograms equals 32 million 600 000 milligrams let's actually move back up to number one and see if moving the decimal six times to the right will give us the same answer so we have seven and the decimal comes after a whole number so let's move it once twice three times four five and six fill with zeros here and that's going to give us seven million that way as well so kilograms to milligrams multiply by 1 million and we can make that simple by moving the decimal six times to the right let's move on to number three where we have 2 million milligrams equals how many kilograms well each group of 1 million milligrams equals a kilogram so we need to see how many groups of 1 million are in 2 million or in other words 2 million divided by a million well that's going to give us 2. so 2 million milligrams equals 2 kilograms when we go from milligrams to kilograms we divide by one million let's move on to number four where we have 42 million eight hundred eighty thousand milligrams equals how many kilograms so divide by one million now number three that was an easier number to work with we were able to use mental math for this one what we can do we can move the decimal six times to the left when we divide by one million we push each digit to the right six places this gives us one one millionth of the value of our original number meaning we divided by a million so we can do this by again just moving the decimal six times to the left so we have 42 million 880 000 and the decimal goes at the end of a whole number so let's move it six times to the left once twice three times four times five times and six times so it's going to go in between the two and the eight there so we get 42 and 88 hundredths or 42.88 now i left these four zeros off of the end of that decimal because zeros to the right of a decimal do not change the value so typically we leave them off because they are not needed now if you were to leave those zeros on that's an equivalent decimal so it still would be correct but again typically we leave them off because they do not change the value so 42 million 880 000 milligrams equals 42.88 kilograms so there you have it there's how you convert between kilograms and milligrams when we go from kilograms to milligrams multiply by one million and we can do that by moving the decimal six times to the right when we go from milligrams to kilograms we divide by one million and we can do that by moving the decimal six times to the left i hope that helped thanks so much for watching until next time peace you