QUICK LINKS


Introduction

QUICK LINKS


Introduction

INTRO
When we divide 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 divide decimals, we first need to “embiggen” or enlarge the dividend and divisor by moving their decimal points to the right until the divisor is a whole number.
Kamala Fist Growing Smaller
This makes it easier for us to do long division:Notice that when Kamala’s done fighting, she “undoes” her power by shrinking her fists back down to normal size.
Similarly, when we divide the enlarged numbers, we “undo” the “embiggening.” Each time we moved the decimal point, we were just multiplying by , and when we divide, we cancel these out.
Kamala Fist Growing Smaller

What is a dividend? What is a divisor?

When dividing numbers, the dividend is the number being divided, and the divisor is the number doing the dividing.
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Lesson
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Practice
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CALCULATOR

Dividing Decimals Calculator

What does the division look like?

Step 3. Divide using long division.

The first number goes on the inside, and the second number goes on the outside.
So, our answer is .
KEY STEPS

How to Divide Decimals

What does the division look like?

Step 1. Move the decimal point of the divisor to the right to make a whole number.

In order to complete our division mission, we need to enlarge or "embiggen" the divisor.
The divisor is the second number.

Step 2. Move the decimal point of the dividend to the right the same number of places.

In order to complete our division mission, we need to enlarge or "embiggen" the dividend. Move the decimal point the same number of times we moved it in Step 1.
The dividend is the first number.

Step 3. Divide using long division.

When we divide, we're shrinking back down, and our answer is the number on top of the long division.
LESSON
Dividing Decimals

Dividing Decimals

When we divide decimals, we first need to “embiggen” or enlarge the dividend and divisor by moving their decimal points to the right until the divisor is a whole number.
Kamala Fist Growing Smaller
Each time we move the decimal point to the right to “embiggen”, we really multiply the number by .
Kamala Fist Growing Smaller
This makes it easier for us to do long division.When we divide the enlarged numbers, we “undo” the “embiggening” by canceling out each time we multiplied by 10.
Kamala Fist Growing Smaller

Dividing by Powers of 10

When we divide 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 left once for every zero.
When we divide 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 right once for every decimal place.
Let’s look at some step-by-step examples of dividing decimals!

EXAMPLE 1

Let's start by finding the answer to:

EXAMPLE 2

Nice work! Now, let's find the answer to:

EXAMPLE 3

Amazing job! Last one - let's find the answer to:
Awesome! If you’d like to practice additional problems with dividing decimals, expand the
Practice
below before closing out this lesson! ⚡
PRACTICE
Dividing Decimals

Practice: Dividing Decimals

Question 1 of 10:

Step 1. Move the decimal point of the divisor to the right to make a whole number.

Kamala Fist Growing Bigger

Decimal Places Moved:

Step 3. Divide using long division.

Kamala Fist Growing Bigger
Awesome job! The quotient is  .

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