Video Transcript
Benjamin has 6,624 dollars. He wants to round this number to
the nearest thousand. Complete. The number 6,624 is between what
and what. 4,000 and 5,000; 5,000 and 6,000;
6,000 and 7,000; or 7,000 and 8,000. How much money to the nearest
thousand does Benjamin have?
In this question, we’re told that
Benjamin has a four-figure sum of money. He has 6,624 dollars. And we’re also told that he wants
to round this number to the nearest thousand. When we round a number, we make it
simpler. Perhaps Benjamin has been asked
about, how much money do you have? Or maybe, can you tell me roughly
how much you have? And so, he doesn’t need to say the
exact amount he can make the number simpler. He can round it to the nearest
thousand.
And the first thing he needs to do
is to think about the two multiples of a thousand that this number is in
between. Then, he knows, whether he rounds
it up or down, what numbers he’s rounding to. And the first part of this question
takes us through this. We’ve got a sentence that we need
to complete. The number 6,624 is between what
and what. Let’s think about this number for a
second. It’s made up of six 1000s, six
100s, two 10s, and four ones. Now, which of these digits do you
think is most important if we’re thinking about the multiples of a thousand that
this number is in between? It’s the thousands digit. It tells us where this number
belongs.
Benjamin’s number has a six in the
thousands place. It’s six thousand something, so
it’s greater than 6,000. But if Benjamin carried on counting
from his number, the next 1,000 after his number would be 7,000. The number 6,624 is between 6,000
and 7,000. Now, which one of these is Benjamin
going to round his number to? Is he going to round it down or
up? The last part of the question asked
us to actually find the answer. How much money to the nearest
thousand does Benjamin have?
We can find the answer by looking
at a different digit. This time, we can look at the
hundreds digit, which is a six. And we can remember one of the
rules about rounding here. If the digit is a five or more, so
that’s five, six, seven, eight, or nine, we round our number up. And our hundreds digit is a five or
more, so we need to round our number up. So, when Benjamin is asked the
question, “About how much money do you have?”, he can say, well, roughly 7,000
dollars. In this question, we rounded an
amount of money to the nearest thousand. By looking at the thousands digit,
we could tell that the number 6,624 is between 6,000 and 7,000. And then by looking at the hundreds
digit, we knew we had to round up. Benjamin has to the nearest
thousand dollars 7,000 dollars.
