Video Transcript
Find the missing number in the
following sequence. 1,000, 2,000, 3,000, what,
5,000.
We’re given a sequence of five
numbers, but one of them is missing. We need to find it. And to find the missing number in a
sequence, we need to look at how the numbers change. So, let’s begin by looking at our
first number. It’s the number 1,000. We write it using a one in the
thousands place and then three zeros to show our empty hundreds, tens, and ones
places.
The second number in our sequence
is 2,000. And if we want to write 2,000 using
this place value grid, we just need to change the one digit in the thousands place
for the digit two. We’ve got one more 1,000. Do you think that our sequence
might be to add 1,000 each time? It’s always important to look at
the next number along too, because this could be a doubling sequence. Now, if we’re right and we need to
add 1,000 each time, the next number after 2,000 won’t have a two in the thousands
place. It’ll have one more than two; it’ll
be three. And that’s exactly what we do
have. In the sequence, we need to count
in thousands. 1,000, 2,000, 3,000. And now if we add one more 1,000,
we’re going to have 4,000. And we write the number 4,000 with
a four in the thousands place followed by three zeros.
Now there’s one more thing we need
to include, because the numbers in this sequence have a comma between the thousands
and the hundreds digits. This is just a way of separating
digits into groups to make numbers easier to read. All our thousands numbers in this
sequence do have one of these commas, so we’re going to include it for 4000. Let’s read our sequence then, and
we’ll model it using place value blocks as we say each number. 1,000, 2,000, 3,000, 4,000,
5,000. The missing number in our sequence
of counting in thousands is 4,000.
