Understanding Division of Decimals

Introduction

Dividing decimals can seem tricky at first, but with the right steps, it becomes easy! This guide will take you through the process step-by-step, ensuring you understand how to work with decimal numbers confidently.

What is Decimal Division?

Division of decimals involves dividing one decimal number by another. It’s important to remember that dividing decimals follows the same principles as dividing whole numbers, although a few extra steps are involved.

Steps to Divide Decimals

Step 1: Remove the Decimals

To divide decimals, start by making the divisor (the number you’re dividing by) a whole number. This is done by moving the decimal point in both the divisor and dividend (the number being divided) to the right. For example, if you are dividing 4.5 by 1.5:

Step 2: Divide as Usual

Now that both numbers are whole, perform the division just like with whole numbers. In the above example:

Step 3: Place the Decimal

After you find the quotient (the result of the division), place the decimal point in the answer. Count the total number of decimal places in the original dividend and divisor and shift the decimal in the answer accordingly.

Example Problem

Let’s go through a complete example to clarify:

Practice Problems

Conclusion

By following these steps, you can master division of decimals! Remember to practice regularly to become more comfortable with decimal division. Don't forget: practice makes perfect!