Percent of a whole number

let's see if we can figure out what 30% of six is so one way of thinking about 30% this literally means 30 per hundred so you could view this as 30 over 100 times 6 is the same thing as 30 percent of 6 or you could view this as 30 hundredths times 6 so 0.3 0 times 6 and we could solve both of these and you'll see that we'll get the same answer if you do this multiplication right over here 30 over 100 and you could view this times 6 over 1 this is equal to 180 over 100 and let's see we can simplify we can divide the numerator and the denominator by 10 and then we can divide the numerator and the denominator by 2 and we will get 9 fifths which is the same thing as 1 and 4/5 and then if we wanted to write this as a decimal 4/5 is 0.8 and if you want to verify that you could verify that 5 goes into 4 and there's going to be a decimal so let's store some decimals in there it goes into 4 zero times we don't have to worry about that it goes into 48 times 8 times 5 is 40 subtract you have no remainder and just have zeros left here so this so 4 fist is 0.8 you got the 1 there this is the same thing as 1.8 which you would have gotten if you divided 5 into 9 you would have gotten 1.8 so 30% of 6 is equal to 1.8 and we can verify it doing this way as well so if we were to multiply 0.30 times 6 let's do that zero point and I could just write that literally as zero point 3 times 6 times 6 well 3 times 6 is 18 I have only one digit behind the decimal amongst both of these numbers that I multiply only have the 3 to the right of the decimal so I'm only going to have one number to the right of the decimal here so I just count one number it's going to be one point eight so either way you think about it or calculated 30% of 6 is one point eight