Video Transcript
Fill in the blank: 2,415 is less
than what, which is less than 2,561, which is less than 2,678. Is the missing number 2,574, 2,387,
2,487, or 2,450?
In this question, we have to find
the correct number to place in between the numbers 2,415 and 2,561. Our number is greater than 2,415
but less than 2,561. Let’s use our place value table to
help us find the number between 2,415 and 2,561. Let’s start by looking at our first
number, 2,574. Each of our numbers has a two in
the thousands place. Each number is worth 2,000 and
something. We’re going to need to compare the
hundreds digits.
Our first number has four 100s, and
the others have five 100s. We know that five 100s are worth
more than four 100s, so this could be the number we’re looking for. But we’re going to need to compare
the tens digits. 2,574 has two 1,000s, five 100s,
and seven 10s. 2,561 has two 1,000s, five 100s,
and six 10s. The number we’re looking for has to
be worth less than 2,561. So this can’t be the number we’re
looking for because seven 10s are worth more than six 10s, not less.
Let’s try a second number,
2,387. Again, each of our numbers has the
same amount of thousands. 2,415 has four 100s, and 2,387 only
has three 100s. We’re looking for a number which is
greater than 2,415, and we know that three 100s are worth less than four 100s. So this is not the number we’re
looking for either. Is 2,487 greater than 2,415? Both of these numbers have two
1,000s, and both numbers have four 100s. Let’s compare the tens digits. 2,415 has one 10. 2,487 has eight 10s. Eight 10s are worth more than one
10, and eight 10s are worth more than six 10s. But 2,561 has five 100s, so it’s
worth more than 2,487. This could be the number we’re
looking for. 2,415 is less than 2,487, which is
less than 2,561. The missing number is 2,487.
