AI Tutor
Imagine you have 4,582 shiny stickers in a giant album, and you give away 2,000 to your school friend. Do you need to count them backwards one by one?
You do not need paper or a pencil either! You can solve this in your head in two seconds using place value.
A four-digit number has four rooms: Thousands, Hundreds, Tens, and Ones. When we subtract a multiple of 1,000, only the thousands room changes!
Why? Because 2,000 has zero hundreds, zero tens, and zero ones, so nothing leaves those rooms.

Taking Away Thousands

Let's do 4,582−2,0004,582 - 2,000 in our heads. Look right at the thousands digit, which is 4.
We know that 4−2=24 - 2 = 2, so 4 thousands take away 2 thousands leaves 2 thousands. The hundreds, tens, and ones stay exactly the same: 2,582!
What happens if we take away hundreds instead of thousands?

Taking Away Hundreds

Let's try 3,745−3003,745 - 300. This time, our target is the hundreds digit.
There are 7 hundreds, and we take away 3 hundreds. Because 7−3=47 - 3 = 4, our new hundreds digit is 4, giving us 3,445.