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# Multiplying and dividing decimals by 10, 100, 1000

Explore the concept of multiplying and dividing decimals by 10, 100, and 1000. Learn how each digit in a decimal number shifts places when multiplied or divided by these powers of 10, providing a visual and intuitive understanding of the process.

## Want to join the conversation?

• Why do you have to say tenths or ones. For example 3 tenths or 5 ones.
• Great question! Well, it is not 100 percent determined but I think mathematicians just decided to do it.
• Wait... I thought that when we multiply we move places to the right..?
• Yes, that is correct. I would like to add that when you divide, you move the decimal to the left. I hope this helped!
• Wait-I thought that when we multiply we move places to the right..?
• No Jaiden , when you multiply it goes one place to the left.
• how do i divide and multiply decimals
• When you divide a number like 10.4 by 10, since you're dividing it the numbers move one place value to the right, if you're dividing it by 100, then it moves two places to the right. For multiplying, you move the digits to the left
• hi I love khan academy
• For anyone confused, here's a neat guide for you.

When you multiply a number by 10:
- The decimal point shifts over to the right one time.
- The place value shifts over to the left one time.

For example, take the number 29. We know that there is an imaginary decimal point at the end of every whole number, so if we shift the decimal point one place to the right, it becomes 290.

Basically, we shifted the decimal point to the right, but our place values got shifted left. The number 9 which used to be in the ones place was moved to the tens place and a zero was put in the ones place instead. The number 2 which used to be in the tens place was moved to the left one time, which is the hundreds place.

The same rules apply to division but in reverse.

When you divide a number by 10:
- The decimal point shifts over to the left one time.
- The place value shifts over to the right one time.

Hope this helps and good luck to everyone!
• this helped me a lot thx