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we're told that each square below represents one hole so this square is a hole this is another hole so together that's two and then we have something less than a hole and they say what decimal is represented by the shaded area so it's going to be two and then something so it's going to be two point something and let's think about what we have over here this is one hole two holes and then over here we've taken a hole and we've divided it into one two three four five six seven eight nine ten equal sections so we've divided it into tenths each of these bars is equal to 1/10 and we have seven of them shaded in one two three four five six seven so this right over here is seven tenths so this is going to be one two and seven tenths so if we wanted to write it as a mixed number we write it as two and seven tenths but they say what decimal is represented by the shaded area so instead of writing two and seven tenths we could write two point seven because the space immediately to the right of the decimal points that's the tenths place so we have two ones two holes right over here and then we have seven tenths this is the tenths place and we could check our answer we got it right let's do another one of these so same thing what decimal is represented by the shaded area so we have three wholes and then this whole is divided into tenths now it's divided into these vertical bars we have one two three four five six seven eight nine ten vertical bars they're equal so there's divided into tenths and we've shaded in five of them so this one over here is five tenths so it is three wholes and five tenths so it's going to be three wholes and in the tenths place we would put five three point five three wholes and five tenths we can check our answer got it right let's do a few more of these what decimal is being represented by the shaded area so over here let's see I have I have a hundred squares you see I have ten I have ten columns and each of them have ten squares in it so ten times ten is 100 so I have 100 squares here equal square so I've divided it into hundredths and I've shaded in 1 2 3 4 5 6 7 8 9 of the hundredths hundredths so how do I represent that so 0 that's the ones place that's the tenths tenths place and now I'm in the hundredths place and so this we have 9 of the hundredths shaded in so this right over here would be 9 hundredths which is exactly what we have there all right let's do let's do one more of these all right well it's the same thing we have two of the hundredths filled in so I'll write zero point if I did that that would be two tenths that's not what we have filled in we have two hundredths hundredths filled in so this is 0.02 and we're done