Comparing Two-Digit Numbers:
In this video, we will learn how to
compare two-digit numbers using models.
Two-digit numbers have a tens digit
and a ones digit. We can model two-digit numbers
using ten frames and counters, an abacus, or place value blocks. And we can use a place value chart
to think about what each digit is worth in a two-digit number. We can also use models and place
value charts to help us compare two-digit numbers.
Our first two-digit number has two
tens. So we can write a two in the tens
place. And it has nine ones. This model shows the number 29. Two tens and nine ones makes
29. Our second model shows one ten and
four ones. A 10 and four ones makes the number
We can use the symbols less than,
equal to, or greater than to compare our two numbers. Let’s start by comparing the
tens. Our first number has two tens, and
the second number only has one ten. So we can say 29 is greater than 14
because two tens are more than one ten.
Let’s practice comparing two-digit
numbers using models.
Fill in the blank using greater
than, less than, or equal to. Matthew’s set is what Noah’s
We’re shown two different models,
Noah’s model and Matthew’s model. Both models show an amount of tens
and ones. So we know that these are both
two-digit numbers. How many tens are there in Noah’s
model? One, two, three, four. Noah’s model has four tens. Now, let’s count how many ones his
number has. One, two. Noah’s number has four tens and two
ones. Four tens and two ones is 42. Noah’s number is 42.
Now, let’s look at Matthew’s
number. How many tens does it have? There are three. One, two, three. Let’s count the number of ones. There’s one, two, three, four,
five, six. Matthew’s number has three tens and
Now that we know what both
two-digit numbers are, we can compare them. We need to compare the tens digit
because this digit has the greatest value. Noah’s number has four tens. Matthew’s has three. And we know that four is more than
three. So four tens, or 40, is worth more
than three tens, or 30.
Now, we can fill in the blank. We have to compare Matthew’s set to
Noah’s set. We know that three tens are less
than four tens. The number 36 is less than the
number 42. Matthew’s number is less than
Emma thinks that the number in
Group C is greater than the number in Group D. Is this true or false?
Let’s start by looking at the
number in Group C. How many tens does this number
have? It just has one ten. So we can write a one in the tens
column. How many ones does this number
have? One, two, three, four, five. So we can write a five in the ones
column. The number in Group C is the number
15. One ten and five ones makes 15.
Now, let’s look at the number in
Group D. How many tens does this number
have? There are two tens. Now, let’s count the ones. One, two, three, four, five. Both numbers have five ones. The number in Group D is the number
25. Two tens and five ones makes
Emma thinks that the number in
Group C, which is 15, is greater than the number in Group D, which is 25. Is she correct? Is 15 greater than 25? One ten is less than two tens, so
the number 15 is less than 25. Emma’s statement is false. 15 isn’t greater than 25. It’s less than 25. The correct answer is “false.”
Pick the symbol to compare these
sets of ten frames. Is it less than, greater than, or
We’re shown two different
models. We have to work out which number
each model represents. And then we need to compare the
numbers. How many tens does the first model
have? Both of these ten frames are
full. They both contain 10 counters. So there are two tens in our first
number. And how many ones can you see left
over? There are two. Two tens and two ones gives us the
Now, let’s look at our second
number. There are three ten frames, and
they are all full of counters. And there are no ones left
over. Our second number is 30. Three tens are 30. 22 is less than 30. The number 22 has two tens, and the
number 30 has three. And we know that two is less than
three. The correct symbol to compare these
two numbers is “less than” because 22 is less than 30.
What have we learned in this
video? We’ve learned how to compare
two-digit numbers using models.