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Naming and ordering numbers | Worked example

Video transcript

- We are asked in the list above the greatest value is how many times as large as the least value so pause this video and see if you can figure that out alright now lets do it together now in order to do this its useful to have all of the numbers in the same format so that we can atleast compare them an figure out which one is the greatest and which one is the least so let's convert them all to decimals So this first number right over here that's already in decimal form, 0.004, the next one is also a decimal already 0.28 or 28 hundredths this next one, one fifth to convert that into decimal you could go to your calculator or calculator is allowed on the praxis. You could do one divided by five or you might recognize that one divided by five or one fifth is the same thing as two tents. Or You could say that 0.2 either way the next one is already a decimal 0.016 or 16 thousandths and then one over 125 that might be pretty useful to get a calculator out for that so, and just to show you what I did before the one fifth you could have just done one divided by five you would've gotten the point two but one divided by 125 is equal to 0.008 or eight thousandths 0.008 now the next thing we'd want to do is order them and it can be a little bit misleading because some of these have two digits to the right of the decimal or actually even one some of them have three so let's make all of them have the same number of digits to the right of the decimal point so this one already has three to the right this one could be rewritten a 0.280 this one could be written as 0.200 this one could be rewritten as 0.016 and then this one is already 0.008 so now all of them are in terms of thousandths so the smallest one here is four thousandths So let me write that first so that's the smallest one for thousandths and then the next largest amount of thousandths is this one right over here, which is eight thousandths then the next largest one is 16 thousandths then the next largest one is 200 thousandths and then the largest one is 280 thousandths so we want to figure out how many times is large or how many times larger is 280 thousandths then four thousandths and you might be able to do that in your head and say oh well 280 divided by four is going to be 70 or you can go back to a calculator and you could figure it out and you could type in those exact numbers if you like you could either do 280 divided by four or you could just type in these numbers exactly as they are 0.280 divided by 0.004 is going to be 70 so this is 70 times larger than the smallest value and we're done