If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Unit 4: Lesson 7

Multiplying and dividing decimals by 10, 100, and 1000

# Dividing decimals by 10, 100, and 1000

Practice dividing decimals by 10, 100, and 1000.

## Part 1: Dividing decimals by 10

Key idea: Dividing by 10 moves every digit one place to the right.
Let's visualize it! Drag the dot all the way to the right.
5, point, 14, divided by, 10, equals

## Let's try a few more dividing by $10$10:

44, point, 2, divided by, 10, equals

145, point, 18, divided by, 10, equals

0, point, 678, divided by, 10, equals

And one multiplying by 10 (for review):
0, point, 933, times, 10, equals

## Part 2: Dividing decimals by 100

Key idea: Dividing by 100 moves every digit two places to the right.
Let's visualize it! Drag the dot all the way to the right.
Notice that we add zeros to fill the empty place values.
2, point, 8, divided by, 100, equals

## Let's try a few more dividing by $100$100:

6, point, 33, divided by, 100, equals

71, point, 005, divided by, 100, equals

189, point, 2, divided by, 100, equals

And one multiplying by 100 (for review):
5, point, 4, times, 100, equals

## Part 3: Dividing decimals by 1000

Key idea: Dividing by 1000 moves every digit three places to the right.
Let's visualize it! Drag the dot all the way to the right.
Notice that we add zeros to fill the empty place values.
0, point, 6, divided by, 1000, equals

## Let's try a few more dividing by $1000$1000:

7500, point, 9, divided by, 1000, equals

0, point, 1, divided by, 1000, equals

623, point, 88, divided by, 1000, equals

And one multiplying by 1000 (for review):
0, point, 0043, times, 1000, equals

## Part 4: Let's look at the pattern.

Dividing by 1, start color #11accd, 0, end color #11accd moves every digit start color #11accd, 1, end color #11accd place to the right.
Dividing by 1, start color #1fab54, 00, end color #1fab54 moves every digit start color #1fab54, 2, end color #1fab54 places to the right.
Dividing by 1, start color #aa87ff, 000, end color #aa87ff moves every digit start color #aa87ff, 3, end color #aa87ff places to the right.
Dividing by 1, start color #01a995, 00, comma, 000, end color #01a995 moves every digit
places to the right.
Dividing by 1, start color #e07d10, comma, 000, comma, 000, end color #e07d10 moves every digit
places to the right.

## Part 5: Challenge time!

Use the pattern above to answer the following questions.
333, point, 4, divided by, 100, comma, 000, equals

29, point, 7, divided by, 1, comma, 000, comma, 000, equals

And a multiplication challenge:
0, point, 055, times, 10, comma, 000, equals