### Video Transcript

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

An abacus is a way of modeling a
number. And in this question, we’ve got two
to look at. We need to compare both numbers
together and then choose the correct symbol to show whether the first number is
greater than the second, whether it’s less than the second number, or whether the
two numbers are exactly the same. Our first number shows two ones and
three-tenths. It’s a decimal number. We know this because it’s made up
of a whole part — two ones or a whole number — but also a fractional part. That’s a part that’s worth less
than one. And three-tenths of this fractional
part, three-tenths are less than one.

And if we were to write this number
using digits, we need a two in the ones place, then a decimal point to show that
we’re moving into the fractional part, and then a three in the tenth place. Two ones and three-tenths is the
same as 2.3. Now let’s look at our second
number. This is made up of one one and
seven-tenths. So we have less ones, but a few
more tenths in this number. And again, it’s a decimal. This is because it’s made up of
that whole part and a part that’s worth less than one. This time, we could represent this
model using digits with a one in the ones place. Again, we’re going to need a
decimal point to separate it from the fraction part and then a seven in the tenths
place to show our seven-tenths. One and seven-tenths is the same as
1.7.

So how are we going to compare
these two decimals that have been modeled on each abacus? Should we compare the number of
beads in the tenths place first? Or should we think about the
ones? Well, we need to apply the same
rule that we use when we compare whole numbers. And that’s to compare the digits
that have the largest value first and work our way from left to right. So we shouldn’t start by comparing
the tenths. A tenth is less than one. We need to start by looking at the
number of ones that we have.

Our first abacus shows two in the
ones place, but, in our second abacus, there’s only one bead in the ones place. It doesn’t matter how many tenths
each number has, because we’ve compared the ones. And we can see that the first
number is larger than the second. 2.3 or two ones and three-tenths is
greater than 1.7 or one one and seven-tenths. The correct symbol to use in
between these two models is the one that represents is greater than.