### 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.