Decimal fractions greater than 1
- [Instructor] We're told each big square below represents one whole. Express the shaded area as both a mixed number and a decimal. So pause this video and see if you can do that. What would this be as a mixed number, and then what would it be as a decimal? All right, now let's do it together. So let's first start with the mixed number. So we see that we have one whole here, the whole thing is filled out, so this is going to be one whole, and then over here, we have part of this second whole filled out, and it looks like we're dividing this whole into 10 equal sections, and then two of those are filled out. So as a mixed number, we have one and then you have two of the 10ths filled out. So this is gonna be 1 2/10, and we're done. You can see here, this is split into 10ths, and we filled in two of them. Now, what about as a decimal? Well, we could just express 1 2/10 as a decimal. We could say, hey, that's going to be one, and then we get to the 10th place, and then how many 10ths do we have? We have two of them. So that's going to be 1.2. Let's do another example. So here, this is a little bit more involved. They say, once again, each big square below represents one whole. And once again, they want us to express the shaded area as both a fraction and a decimal. So pause this video and have a go at this. All right, so let's start with the fraction again. So we have one whole, two wholes, and then partially shaded in this third whole, so if I'm gonna express this as a fraction, really it's going to be a mixed number, I would say that this over here, this is two wholes. Now, this third whole is only partially filled in, and we can see that it has been divided into 100ths, you can see it's a 10 by 10 grid, so each of these squares represent 100th of a whole, and how many of these 100ths are filled in? Well, let's see, you have 10, 20, 30, 40, 50, 60, 70, and then you have 71, two, three, four. We can see that 74 of the 100ths are filled in. So as a mixed number, this whole thing would represent 2 74/100. Now, if we wanna write it as a decimal, we would have two wholes, and then we could go to the 10ths place. You could just write two and 74 100ths like that, if you're pretty familiar with it. You could also think about it in terms of how many 10ths and how many 100ths did you have. We have one, two, three, four, five, six, seven 10ths, and then we have four more 100ths beyond that, so you could think of it as 74 100ths or 7/10 and 400ths, but either way, we are done.