Lesson Video: Counting Money: Pounds and Piastres Mathematics

In this video, we will learn how to find the value of a group of notes and coins in pounds and piastres.

15:36

Video Transcript

Counting Money: Pounds and Piastres

In this video, we’re going to be learning how to find the value of a group of notes and coins in pounds and piastres. This is Dalia, and this is her savings tin. She’s been saving for a while now. And she’s hoping she’s got about 30 pounds. Let’s open the tin to count the money that Dalia has. There we are. No wonder her tin was so heavy. As well as notes, Dalia’s tin also contains some coins. Before we count them, we need to check that we recognize these notes and coins.

The notes that Dalia has are all the same value. Can you see? They’re all worth five pounds or five LE. Then if we look at her coins, we can see that she has three one-pound coins. But this coin is slightly different. If we zoom in on it, we can see that it’s worth a number of piastres, not pounds. This coin is worth 50 piastres. So to find the total value of these notes and coins, we’re going to need to count the pounds and then the piastres.

Let’s start with the pounds. And if we add our pounds in order of value, it’s going to be a little bit easier for us to find a total. So we’ll start with the largest amount. And these are our four five-pound notes. What are four fives worth? Five, 10, 15, 20 pounds. Now don’t forget because we’re trying to find the total number of pounds we’ve got, we can’t just stop with the notes because some of our coins are worth pounds too. We need to add on three more pounds. 20 pounds plus three more pounds equals 23 pounds.

Finally then, we need to count how many piastres Dalia has. But because we can see the only coin we need to think about is this one worth 50 piastres, we don’t need to draw a number line. Dalia can say that she saved 23 pounds and 50 piastres. It’s not quite the 30 pound she was hoping for, is it? But she’s getting there.

By the way, did you notice what skills she needed to be able to find this total amount of money? Firstly, she needed to be able to identify the different notes and coins that she had, then to be able to put them in order first the pounds and then the piastres to make them easier to add. And then, thirdly, we used the skill of skip counting where possible. We had four five-pound notes. Instead of adding five plus another five plus another five and so on, we just skip counted in fives four times, much quicker.

Meet two of Dalia’s friends, Karim and Mariam. Who do you think has the most money? Well, if we look really quickly, we can see that both friends have four notes. But Mariam has more coins. But we know that just because somebody has more notes or more coins doesn’t mean they have more money. We need to start looking at the value of these notes and coins.

Let’s begin with Karim. And let’s think about those three skills that we’ve talked about already. Firstly, let’s identify the notes and coins that Karim has. There are two 10-pound notes. And this next note is an interesting one. It’s a lot of money. Let’s look at it more closely. I wonder, have you ever seen one of these before? This note has a value of 200 LE or 200 pounds. Just because this is the first time you may have seen one of these, this is what the front of this note looks like. So as well as his two 10-pounds and one 200-pound notes, Karim also has a 20-pound note. And if we look carefully at his coins, we can see that this coin is worth another pound too.

So all these notes and coins represent amounts of pounds. But we can also see that Karim has this coin worth 50 piastres too. So now that we’ve identified all these notes and coins, we need to put them in order before we add them. Perhaps you can see that this time we’re not given the notes in order. The note with the greatest value, that’s that 200-pound note we spotted, is hidden between the 10-pound note and the 20-pound note. So let’s add these amounts in order.

Now because we know the note with the greatest value is 200 LE, we could start counting from 200 rather than zero. 200 plus 20 equals 220. And now we need to add two notes of the same value. So we can apply our third skill of skip counting, 230, 240. And if we add our one-pound coin, we can see that Karim has 241 pounds. And not forgetting the coin that’s worth 50 piastres, Karim has 241 pounds and 50 piastres.

Now let’s see whether Mariam’s larger pile is worth more or less. She has a 100-pound note, two 50-pound notes, a 20-pound note, two one-pound coins, and two coins worth 25 piastres each. Now we’ll start by adding the number of pounds that Mariam has. And once again, we’re going to put them in order. We won’t start counting from zero; we’ll start counting from the note with the largest value. That’s the 100-pound note. Now we need to skip count twice in 50s, 150, 200. Add the 20-pound note takes us to 220. And instead of adding on one twice, we can simply add another two pounds for our two-pound coins. Mariam has 222 pounds.

Now we’re already in a position really to see who has most money. But let’s just add how many piastres she has. We know that 25 plus 25 equals 50. And so Mariam’s two coins have a value of 50 piastres. Mariam has a total of 222 pounds and 50 piastres. Now when we compare two amounts of money like this, we first look at the amount of pounds. Pounds are worth more than piastres, so they matter more when we compare them. Karim has 241 pounds. Mariam has 222 pounds. And because we know 241 is greater than 222, we can say that the person with most money is Karim.

Let’s have a go at answering some questions now where we have to find the value of a group of notes and coins in pounds and piastres.

Complete using the symbol for is equal to, is greater than, or is less than.

Can you see where our missing symbol belongs? It’s in between one, two groups of money. And we’re going to have to find the total of each group to be able to compare them. Perhaps you spotted that we were going to need to find some totals by these little addition symbols that’re in between the notes and the coins.

To start with, let’s look at our first group. We can see that this group contains both notes and coins. And they all have a value of a different amount of pounds. Can you spot them? Firstly, we’ve got a 200-pound note. Then we have three notes that are worth all the same amount, 10 pounds. And each of these four coins are worth one pound. So what is 200 plus three lots of 10 plus four lots of one? Let’s use a number line to help us. And rather than starting from zero, we could start from our first note, 200. Now to add our three 10-pound notes, we could skip count in 10s three times. 210, 220, 230.

Now finally, we could add our four one-pound coins one at a time, but it might be a bit quicker just to add four all in one go. 230 plus four is 234. The total of our notes and coins on the left is 234 pounds.

Now let’s look at the amount of money on the right. This time, we haven’t got any coins to add. Our first two notes are worth 100 pounds each. Then there are four 10-pound notes and two five-pound notes. This time, the value of our largest note is 100 pounds. So let’s start counting from there. And we can begin by adding our second 100-pound note. That takes us to 200. Now we’ve got four 10-pound notes to add, so let’s skip count in 10s four times. 210, 220, 230, 240.

Finally, we need to add our two five-pound notes, so we’re going to skip count in fives twice. 245, 250. So our first group was worth 234 pounds, but our second group has been worth 250 pounds. And we know that 234 is less than 250. So the value of our first group of notes and coins is less than the value of the second. The correct symbol we need to use to compare these two groups of money is less than.

Count the amount of money shown.

In this picture, we can see a group of notes and coins. And to find out the amount of money shown, we need to add them together. Shall we start with this one-pound coin and then perhaps add some of the other amounts of money? Well, it doesn’t really make sense to do this. When we’re working out an addition, it’s a little bit easier if we start with the larger number first. And in the picture that we’ve been given, the note or the coin with the largest value are these notes here. They’re 10-pound notes.

Now, if we start counting from one of our 10-pound notes and add the other one, we have 20 pounds altogether. Next, we need to add this five-pound note. 20 plus five is 25. But we can’t just stop counting the pounds there. One of our coins is worth an amount of pounds too, one pound. So 25 pounds becomes 26 pounds. Now we’ve counted all the notes and coins that have a value of pounds, but we’ve got one coin left. Do you recognize it? It’s worth 50 piastres. So the amount of money that we can see here is a number of pounds and some more piastres.

We used a number line to help us find the total amount of money shown. And that amount is 26 pounds and 50 piastres.

A toy store has the following items for sale at the following prices. How much does the teddy bear cost? How much does the ball cost? And how much does the train cost?

This question is all about three toys that are for sale in a toy store: a teddy bear, a ball, and a train. Now not only can we see these three items, but we can also see how much they cost. We’re shown their prices. Now normally, when you go to shop and you see the price of something, you might see a little label with some numbers on it. This question is a little bit different because if we want to work out these prices, we’re going to have to add together the picture of the notes and the coins that we can see underneath each object. It’s obviously a toy store for people who love maths because we’ve got to do some working out to find out these prices.

Our first question asks us the price of the teddy bear. How much does this cost? Well, let’s take a moment to look at the notes and the coins underneath the teddy bear. What can you see? Our note is worth 10 pounds. And we’ve also got three one-pound coins. That’s worth three pounds altogether, isn’t it? And we know that 10 plus three equals 13. The teddy bear costs 13 pounds.

Next, we’re asked about the ball. How much does the ball cost? Again, let’s look carefully at the notes and the coins that we have and add them together. We’ve got a 20-pound note and then a five-pound note. Add 20 plus five equals 25. That’s all the notes sorted out. But what about the coins? Although we’ve got 25 pounds already, one of our coins is also worth an amount of pounds. It’s a one-pound coin. This takes us up to 26 pounds. But can you see our second coin is worth less than a pound? It’s worth 50 piastres. Our ball costs an amount of pounds and some more piastres. It costs 26 pounds and 50 piastres.

Finally, we need to work out how much the train costs. The price of this train is only represented by two notes. Do you think this means it’s going to be cheaper than the other toys? Let’s find out. Our first one’s a big one; this is a 50-pound note. And our second note is a five-pound note. And 50 plus five equals 55. It looks like it doesn’t really matter how many notes or coins you have, but what value they are. That 50-pound note at the top there really made this train very expensive.

We’ve calculated the prices of these three toys by adding up the value of the notes and the coins underneath. The teddy bear costs 13 pounds, the ball costs 26 pounds and 50 piastres, and the train costs 55 pounds.

What have we learned in this video? We have learned how to find the value of a group of notes and coins in pounds and piastres.

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