Put these houses in order of price, starting with the lowest price.
We’re then given a diagram which shows us five different houses and their prices. And they’re labelled A to E. Let’s read these carefully. We can see that house A has a price of 135300 pounds. House B costs 119125 pounds. The price of house C is 130500 pounds. House D costs 131500 pounds. And finally, the price of house E is 91500 pounds.
So we’re asked to put these houses in order of price. And we know we need to go from low to high because we have to start with the lowest price. In other words, we need to put the prices in ascending order.
If we look carefully at our answer section, we can see that one of the houses has been put in the right place already. We’re told that house B has the second lowest price, and so it comes second in the list. Because house B has already been put in the right place for us, let’s put a tick by the letter B to remind us that it’s already been dealt with. The only prices we need to think about are the prices for houses A, C, D, and E. Where do they belong in our order? How can we compare numbers?
Well, sometimes, a quick way to compare numbers is to see how many digits they have. A whole number that has more digits than another number is larger. Do we notice anything about the digits in our numbers? Well, each of the prices is a six-digit number apart from one. The price of house E is only a five-digit number. So we can see straight away that this is the lowest price. 91500 pounds is lower than all the other numbers. So we can write the letter E in the first place in our order. And let’s put a tick by the letter E to remind ourselves that we’ve put house E in the correct position.
We’re now left with houses A, C, and D. And there are three possible spaces where we can write those letters. What’s the best way to compare these prices? Well, when numbers have the same amount of digits, we need to compare those digits. It’s important to start comparing with the digits that have the most value. So we start on the left and we move from left to right.
To help us do this, let’s write these three prices vertically. By doing this, it really helps us to compare the digits. In a six-digit number, the digit that has the most value is the hundred thousands digit. So let’s compare the hundred thousands place first. Which house price has the greatest number of hundred thousands?
Each of the prices is 100 and something thousand pounds. So they each have the digit one in the hundred thousands place. We can’t separate these numbers. Let’s look at the next column.
The digit that has the next highest value is the ten thousands digit. Which price has the greatest number of ten thousands? They each have three lots of ten thousand. In other words, each of the prices is 130 something thousand pounds. We still can’t separate these prices. We need to keep going. And this time, we’re going to compare the digit with the next highest value, which is the thousands digit.
This time, they’re all different. So we can finally put these numbers in order. Which is the largest digit? The largest digit is five. So we know that, out of these three houses, in fact, out of all five houses, the most expensive house is house A. As well as writing A in the correct position, we can also tick the letter A to remind ourselves that we’re now left with two houses to put in order, C and D. Which order should we write the letters C and D?
House C has zero in the thousands column. The price of house D has a one in the thousands column. Zero is less than one. So we can write C first in our order, followed by D.
So to start with, we compare the number of digits in each number, which helped us identify that house E had the lowest price. And then we use our knowledge of place value to compare the digits one by one, which helped us put the other prices in order. And so in order of price, starting with the lowest price, the houses are E, B, C, D, and A.