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# Writing a number as a fraction and decimal

CCSS.Math:

## Video transcript

we are told the square below represents one hole so this big square here represents a hole express the shaded area as both a fraction and a decimal so let's see we've taken the hole and we've divided it into 1 2 3 4 5 6 7 8 9 10 equal sections each of these columns or each of these tall rectangles represent 1/10 of the hole because there are 10 equal sections that it has been split into so each of these is 1/10 and let's see we have filled in one two three four five six of those tenths so if I wanted to represent it as a fraction I would say this is six tenths and if I were to represent it as a decimal I would say okay well I have zero 1s and I have six tenths so as a decimal it is 0.6 let's do a couple more of these examples so let's say so okay oh look at that now I have let's see the big square represents one hole express the shade areas both a fraction and a decimal so what's going on over here so I have 10 or Rose and in each row I have 10 squares so 10 times 10 I'm going to us has 100 squares in it so I've divided my hole into 100 equal sections so each of these little squares is one hundredths so here I have shaded in 1 2 3 4 5 out of the hundred hundredths or I could say I have five hundredths right over here so as a fraction I could write this as five hundredths and as a decimal I could say well I have no ones I have no tents and I have five hundredths let's do a couple more examples of this so let's say that I want to let's see it says Express the location of the point on the number line is both a fraction and a decimal all right so let's think about it so this is 2/10 this is 3/10 and you see the zero tenths 110 or zero 1/10 2/10 3/10 and before each but or between each tenth they've split it into 10 equal sections 1 2 3 4 5 6 7 8 9 10 so each of these each of these little hash marks represent one hundredth so one way you could view this is we're at two tenths so we have two tenths and then we're going to have 1 2 3 4 5 6 7 hundredths so we could view this point as 2 tenths and 7 hundredths so actually let me write it as a decimal first so we have 2 tenths and we have 7 hundredths now another way to think about this is we have 27 hundredths you can count them remember each of these is one hundredths so 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 hundredths and most people when they see this number they won't say two tenths and seven hundredths they'll just say 27 hundredths well how do you write 27 hundredths as a fraction well it's 27 hundredths 27 over over 100 let's do I don't was I'm kind of in the mood let's do one more of these the big square represents one whole express the shaded areas both a fraction and a decimal so we've already seen there's a hundred of these the whole is put into a hundred small equal smaller sections so each of these small squares is a hundred and so how many hundredths do we have shaded in so this is going to be ten hundredths 20 hundredths 21 hundredths so as a fraction I'd write that is 21 hundredths now you could there's a couple of ways to think about it if you're if we're familiar with it already we'd say okay look two tenths is the same thing as 20 hundredths so it's going to be two tenths and one hundredths or twenty-one hundredths another way to think about it is this first row right over here that's 1/10 then this next one is a 10 so you have two tenths and then you have a hundred over here so any way you want to think about it this is twenty one hundredths or two tenths and one hundredths