AI Tutor
Imagine placing a single 1billintoanarcademultiplierthatmakesyourmoneyworthtentimesmore.Suddenly,youhavea1 bill into an arcade multiplier that makes your money worth ten times more. Suddenly, you have a 10 bill!
In our number system, every place value column is worth exactly ten times the column to its right.
So what actually happens to the digits in a number when we multiply by 10?

Multiplying by 10

When you multiply any whole number by 1010, every digit moves one place to the left.
A zero fills the empty ones column as a place holder to keep the other digits in their new positions.
What if you start with a two-digit number like 3535?
For 35×1035 \times 10, the 33 tens shift to become 33 hundreds, and the 55 ones shift to become 55 tens. With a zero in the ones place, the answer is 350350.
What happens if we multiply by 100 instead of 10?

Multiplying by 100

Because 100100 equals 10×1010 \times 10, multiplying by 100100 shifts every digit two places to the left.