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### Course: MAP Recommended Practice>Unit 34

Lesson 41: Multiplying and dividing decimals by 10, 100, and 1000

# Multiplying decimals by 10, 100, and 1000

Practice multiplying decimals by 10, 100, and 1000.

## Part 1: Multiplying decimals by 10

Key idea: Multiplying by 10 moves every digit one place to the left.
Let's visualize it! Drag the dot all the way to the right.
$5.14×10=$

## Let's try a few more.

$4.006×10=$

$583.2×10=$

$0.7761×10=$

## Part 2: Multiplying decimals by 100

Key idea: Multiplying by 100 moves every digit two places to the left.
Let's visualize it! Drag the dot all the way to the right.
Notice that we add a zero to fill the empty place value.
$23.8×100=$

## Let's try a few more.

$90.5×100=$

$6.33×100=$

$0.0047×100=$

## Part 3: Multiplying decimals by 1,000

Key idea: Multiplying by 1,000 moves every digit three places to the left.
Let's visualize it! Drag the dot all the way to the right.
Notice that we add zeros to fill the empty place values.
$0.6×1000=$

## Let's try a few more.

$3.4×1000=$

$62.11×1000=$

$0.0577×1000=$

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

Multiplying by $10$ moves every digit $1$ place to the left.
Multiplying by $100$ moves every digit $2$ places to the left.
Multiplying by $1,000$ moves every digit $3$ places to the left.
Multiplying by $10,000$ moves every digit
places to the left.
Multiplying by $10,000,000$ moves every digit
places to the left.

## Part 5: Challenge time!

Use the pattern above to answer the following questions.
$71.55×10,000=$

$0.8×1,000,000=$

## Want to join the conversation?

• this is so easy
• it might be hard for other people
• why is it so hard for me
• Another way to think of it is, shift the decimal point to the right. 23 = 23.0 so 23x10 = 230
• the 100's were kinda hard but the 10's were good
• think about like this: if you want to multiply shift the decimal point to the right based on the numbers of zeros. for example if you want to multiply 4.25 X 10 you will shift the decimal point one time to the right (because there is one zero in the ten). if you want to multiply 4.35 X 100 you will shift the decimal point two times to the right because there is two zeros in the 100.
• good job all of you hope you pass
• This is easy for me. But it is hard for some people.
• it's okay I mean hard but it's okay