# Video: Comparing Small Natural Numbers

What number is greater than 6 and less than 8?

03:31

### Video Transcript

What number is greater than six and less than eight?

There’s a mystery number being described in this question and we’re given two clues about it. We need to find a number that’s greater than six and also less than eight. Let’s look at each clue one by one and then put them together. Firstly, we know that the word greater means more or larger. So we’re looking for a number that is larger or more than six. Let’s use a number track to help us. Now, if we’re looking for numbers that are greater than six, we need to start by finding the number six. Where is it on our number track? Well, we know it comes after the number five: one, two, three, four, five, six.

Now, where are the numbers that are greater than six? What about the numbers that we say before we get to the number six? One, two, three, four, and five. Are these numbers greater than six? No, we know that numbers get bigger as we count along a number track. And so if we’re looking for numbers that are bigger or greater than six, we need to look at the numbers that come after the number six. Seven is greater than six. So is the number eight, nine, and 10. What about the number six itself? Should we include this? Well, no. The number six is the same as the number six, isn’t it? When two numbers are the same, we can say that they’re equal to each other. The number six is equal to the number six. It’s not greater than six.

So we can say that the number we’re looking for could be seven, eight, nine, or 10. But remember, we’ve got another clue to think about. Our number is greater than six and less than eight. Let’s sketch another number track to help us find numbers less than eight. First of all, let’s find the number eight on our number track. We know it comes after the number seven. One, two, three, four, five, six, seven, eight. And we’re looking for numbers that are less than eight. Another way of thinking about the word less than is smaller than, numbers that are smaller than eight. And again, we’re not going to include the number eight itself here because eight is equal to eight.

Now, where are the numbers that are going to be smaller than eight on our number track? These are going to be the numbers that come before we say the number eight, numbers like one. One is less than eight and also two, three, four, five, six, and seven. All these numbers are less than eight. Now, we can look closely at our number tracks to find the answer. What number is greater than six and less than eight? We can see that there’s only one number that we’ve circled on both number tracks. It’s the number seven. We can say seven is greater than six. And we can also say that seven is less than eight. We used number tracks and thinking about the counting sequence to help us find the answer. The number that is greater than six and less than eight is seven.