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### 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

## Want to join the conversation?

• gets hard once it gets to 100
• wanna tip? Just remember when dividing with decimals just slide decimal to the right acoordingto how many zeros in the number
• gets hard on 100,000 and 1m
• think about like this: if you want to divide shift the decimal point to the left based on the numbers of zeros. for example if you want to divide 4.25 ÷ 10 you will shift the decimal point one time to the left (because there is one zero in the ten). if you want to divide 4.35 ÷ 100 you will shift the decimal point two times to the left because there is two zeros in the 100.
• you move right when dividing and left when multipling?
• no, left when dividing, and right when multiplying
• Couldn't you put it in a more Engage(NY)ing way as the name suggests?
• i always forget where to move the point while dividing and multiplying
• When multiplying by a power of 10 (such as 10, 100, 1000, etc), move the decimal point the same number of places to the right as there are zeros in the power of 10.

When dividing by a power of 10, move the decimal point the same number of places to the left as there are zeros in the power of 10.

Have a blessed, wonderful new year!
• is their any kind of big tests we can take?
• You can take the unit test which is the test that is only for each section or you can take the course challenge which is everything in the entire grade