INTRO

—

When we divide decimals, we think of Kamala Khan and her superhero identity, Ms. Marvel.This makes it easier for us to do long division:$1.2125)150.0−125.0 25.0−25.0 0 $Notice that when Kamala’s done fighting, she “undoes” her power by shrinking her fists back down to normal size.When dividing numbers, the dividend is the number being divided, and the divisor is the number doing the dividing.$a÷b=ba =b)a0$Check out our or explore our and sections to learn more about dividing 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 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.$1$

$.50.$

$÷1$$.25.$

$⇒150÷125$⤻⤻

⤻⤻

Similarly, when we divide the enlarged numbers, we “undo” the “embiggening.” Each time we moved the decimal point, we were just multiplying by $10$, and when we divide, we cancel these out.

$150÷125 =1.25×10×101.5×10×10 =1.25×10×10 1.5×10×10 =1.2 $

### What is a dividend? What is a divisor?

Calculator

Lesson

Practice

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

You can also use the Quick Links dropdown above to jump to a section of your choice.

CALCULATOR

—

## Dividing Decimals Calculator

What does the division look like?

$÷$

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.$1$

$.75.$

$÷0$$.01.$

$⇒175÷1$⤻⤻

⤻⤻

$1.75÷0.01⇒175÷1=(1.75×10×10)÷(0.01×10×10)$

$175÷1 =0.01×10×101.75×10×10 =0.01×10×10 1.76×10×10 =175 $

### Dividing by Powers of 10

When we divide 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 left**once for every zero.$1.75÷1$$00$$⇒$

$.01.$

$75⇒$$0.0175$⤻⤻

When we divide 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 right**once for every decimal place.$1.75÷0.$$01$$⇒1$

$.75.$

$⇒$$175$⤻⤻

PRACTICE

— Dividing Decimals

## Practice: Dividing Decimals

Question 1 of 10:

$0.1)1.25=?$

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

$0$

$.1.$

$)1.25$$)$

$1.25$

CONCLUSION

—

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