Video Transcript
Calculate 12 multiplied by
1,000.
The number 12 is made up of one 10
and two ones. But as soon as we multiply this
number by 1,000, each of these digits is going to be worth 1,000 times as much as it
does at the moment. We know that when we’re thinking
about the place value in a number, as we move from right to left, each place to the
left of another one is worth 10 times as much. So we know if we want to multiply a
number by 10, we shift the digits one place to the left. To multiply by 100 is the same as
shifting the digits two places to the left. And to multiply by 1,000 is the
same as shifting the digits three places to the left.
We need to multiply the number 12
by 1,000, so we can write it in our place value grid and then move our digits once,
twice, three times to the left. And to show that they’ve moved, we
better write in some zeros to mark the three empty columns. We know that multiplying a number
by 1,000 is the same as multiplying it by 10, by 10 again, and then by 10 again. We also know that each time we
multiply by 10, we just need to shift the digits of a number one place to the
left. So to multiply by 1,000, that’s
just a shift of three places to the left. 12 multiplied by 1,000 equals
12,000.
