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Lesson 2: 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.
$71.55×10,000=$

$0.8×1,000,000=$