INTRO

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When we multiply decimals, we think of Kamala Khan and her superhero identity, Ms. Marvel.Of course, when Kamala’s done fighting, she has to shrink her fists back down to normal size.Check out our or explore our and sections to learn more about multiplying decimals and test your understanding.

Kamala has shape-shifting powers, and when she needs to fight off villains to complete a mission, she can “embiggen” her fists (making them bigger) to get the job done more easily.

Similarly, when we multiply decimals, we first need to “embiggen” or enlarge the decimals by moving their decimal points

**to the right**to turn them into whole numbers.$1$

$.25.$

$×1$$.5.$

$⇒125×15$⤻⤻

⤻

Similarly, when we’re done multiplying…

$125×15=1875$...we have to shrink back down by moving the decimal point

**to the left**the same number of times to undo the enlarging.$1$

$.875.$

$⇒1.875$⤻⤻⤻

Calculator

Lesson

Practice

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CALCULATOR

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## Multiplying Decimals Calculator

$×$

KEY STEPS

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## How to Multiply Decimals

#### Step 1. Move the decimal points to the right to make whole numbers.

In order to complete our multiplication mission, we need to enlarge or “embiggen” the numbers.

Make sure to keep track of how many places the decimal moves in total.

#### Step 2. Multiply the numbers.

#### Step 3. Move the decimal point back to the left.

Now that we’ve completed our multiplication mission, we need to shrink back down.

Move the decimal point the same number of times we moved it in Step 1.

LESSON

— Multiplying Decimals

## Multiplying Decimals

Multiplying decimals is a lot like multiplying whole numbers. In fact, before we multiply decimals, we first need to “embiggen” or enlarge them by moving the decimal point**to the right**until they are whole numbers!

$1$

$.75.$

$×0$$.01.$

$⇒175×1$⤻⤻

⤻⤻

**to the left**the same number of times we moved it to "embiggen" or enlarge:

$0$

$.0175.$

$⇒0.0175$⤻⤻⤻⤻

### Multiplying by Powers of 10

When we multiply decimals by $10$, $100$, $1000$, or other powers of $10$ that are greater than $1$, we can keep the decimal number the same and just move the decimal point

**to the right**once for every zero.$1.75×1$$00$$⇒1$

$.75.$

$⇒$$175$⤻⤻

When we multiply a decimal by $0.1$, $0.01$, $0.001$, or other powers of $10$ that are less than $1$, we can keep the decimal number the same and just move the decimal point

**to the left**once for every decimal place.$1.75×0.$$01$$⇒$

$.01.$

$75⇒$$0.0175$⤻⤻

PRACTICE

— Multiplying Decimals

## Practice: Multiplying Decimals

Question 1 of 10:

$49.7×10=?$

### Step 1. Move the decimal points to the right to make whole numbers.

Decimal Places Moved | |

$49$ $.7.$ $⇒$. |

CONCLUSION

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Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?