QUICK LINKS


Introduction

QUICK LINKS


Introduction

INTRO
When we multiply decimals, we think of Kamala Khan and her superhero identity, Ms. Marvel.
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.
Kamala Fist Growing Smaller
Of course, when Kamala’s done fighting, she has to shrink her fists back down to normal size.
Similarly, when we’re done multiplying…
...we have to shrink back down by moving the decimal point to the left the same number of times to undo the enlarging.
Kamala Fist Growing Smaller
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about multiplying decimals and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

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CALCULATOR

Multiplying Decimals Calculator

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.
Decimal Places Moved
Total:

Step 2. Multiply the numbers.

Decimal Places Moved:

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.
Since we didn't have to move our decimal point in Step 1, we're done!
So, our answer is .
KEY STEPS

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!
Kamala Fist Growing Smaller
Keep track of how many times you move the decimal point - in this case, we moved it times. Now that our numbers are whole numbers, we can just multiply them:But we're not done yet - we have to remember to shrink back down by moving the decimal point in the product to the left the same number of times we moved it to "embiggen" or enlarge:
Kamala Fist Growing Smaller

Multiplying by Powers of 10

When we multiply decimals by , , , or other powers of that are greater than , we can keep the decimal number the same and just move the decimal point to the right once for every zero.
When we multiply a decimal by , , , or other powers of that are less than , we can keep the decimal number the same and just move the decimal point to the left once for every decimal place.
Now that we know what happens when we multiply decimals, let’s check out some examples of how to multiply decimals using our simple steps!

EXAMPLE 1

Let's start by finding the answer to:

EXAMPLE 2

Nice work! Now, let's find the answer to:
Awesome! If you’d like to practice additional problems with multiplying decimals, expand the
Practice
below before closing out this lesson! ⚡
PRACTICE
Multiplying Decimals

Practice: Multiplying Decimals

Question 1 of 10:

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

Kamala Fist Growing BiggerDecimal Places Moved
.
Total: 
Awesome job! The product is  .

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