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# Place value: FAQ

Frequently asked questions about place value.

## What is place value?

Place value refers to the value that each digit in a number has, based on its position. For example, in the number 523, the 5 is in the hundreds place, the 2 is in the tens place, and the 3 is in the ones place.

Here are a couple of the exercises that build off of place value:

## What are the different ways we can write numbers?

We can write numbers in standard form, expanded form, or written form. Expanded form breaks a number down to show the value of each digit. For example, 724 can be written in expanded form as 700, plus, 20, plus, 4. Written form uses words to write out a number. For example, 724 can be written in written form as "seven hundred twenty-four." Standard form is the way we usually write numbers, using just the digits. For example, 724 is in standard form.

Here are a couple of the exercises that build off of writing numbers in different forms:

## Why is 10 important in place value?

10 is important in place value because our number system is based on the number 10. This means that when we count past 9 in one place value column, we regroup to the next place value (in this case, the tens place).

Here are a couple of the exercises that build off of using 10 in place value:

## How do I compare multi-digit numbers?

To compare multi-digit numbers, we start by looking at the largest digit, or the leftmost digit. If one number has a larger digit in that place, we know that number is larger. If the digits are the same, we move to the next digit to the right and continue comparing until we find a difference.

Want to learn more about comparing numbers? Check out this exercise: Compare multi-digit numbers

## Why do I need to know about place value?

Understanding place value is important for many reasons. It can help us add, subtract, multiply, and divide multi-digit numbers. It also helps us understand the value of numbers and compare them. Place value is used in all kinds of real-world situations, from counting money to measuring quantities.

## Want to join the conversation?

- what is 555 x5555(17 votes)
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- Your wrong! The multiplication equals 3083025(13 votes)

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- We are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already we would say okay, look, two tenths is the same thing as 20 hundredths, so it's going to be two tenths and one hundredth, or 21 hundredth. Another way to think about it is this first row right over here, that's a tenth, then this next one is a tenth, so you have two tenths, and then you have a hundredth over here. So any way you want to think about it. This is 21 hundredths or two tenths and one hundredthWe are told the square below represents one whole. So this big square here represents a whole. Express the shaded area as both a fraction and a decimal. So let's see, we've taken the whole and we've divided it into one, two, three, four, five, six, seven, eight, nine, ten, equal sections. Each of these columns or each of these tall rectangles represent one tenth of the whole because they are ten equal sections that it has been split into. So each of these is a tenth 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 6/10 and if I were to represent it as a decimal I would say, okay, well, I have zero ones 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, look at that. Now I have, let's see, the big square represents one whole. Express the shaded area as both a fraction and a decimal. So what's going on over here? So I have ten rows and in each row I have ten squares. So ten times ten. This has a hundred squares in it. So I've divided my whole into a hundred equal sections. So each of these little squares is one hundredth. So here I have shaded in one, two, three, four, five 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 5/100 and as a decimal I could say, oh, I have no ones. I have no tenths and I have five hundredths. Let's do a couple more examples of this. So let's say that I wanted to... Let's see, it says, express the location of the point on the number line as 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 it is 0/10, 1/10, or this is 0, 1/10, 2/10, 3/10, and before each, or between each tenth they've split it into ten equal sections. One, two, three, four, five, six, seven, eight, nine, ten. So each of these, each of these little hashmarks 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 one, two, three, four, five, six, seven hundredths. So we could view this point as two tenths and seven hundredths. So actually let me write it as a decimal first. So we have two tenths and we have seven hundredths. Now another way to think about this is we have 27 hundredth. You can count them. Remember each of these is one hundredth. So zero, one, two, three, four, five, six, seven, eight, nine, ten, 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 27/100. 27 over, over 100. Let's do, I don't know, I'm kind of in the mood. Let's do one more of these. The big square represents one whole. Express the shaded area as both a fraction and a decimal. So we've already seen, there's a hundred of these. The whole is split into a hundred equal, smaller sections. So each of these small squares is a hundredth 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 as 21/100. Now, you could, there's a couple of ways to think about it. If we're familiar with it already(0 votes)

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