Mastering Decimal Division: A Step-by-Step Guide
Are you ready to become a decimal division master? This tutorial will guide you through the process of dividing decimals with ease. By the end of this lesson, you’ll be able to tackle even the most challenging decimal division problems.
Understanding Decimal Division
Before we dive into the steps, let’s quickly review what decimal division is. Decimal division is a way of dividing a decimal number by another decimal number. It’s similar to regular division, but with decimals, we need to pay attention to the place value of the digits.
Step 1: Write the Problem
To start, write the division problem with the dividend (the number being divided) and the divisor (the number by which we are dividing). Make sure to line up the decimal points.
📝 Note: When writing the problem, make sure to line up the decimal points. This will help you keep track of the place value of the digits.
Example: 4.8 ÷ 0.6 =?
Step 2: Move the Decimal Point
Next, move the decimal point in the divisor (0.6) to the right until it becomes a whole number. In this case, we need to move the decimal point one place to the right, making the divisor 6.
As we move the decimal point in the divisor, we also need to move the decimal point in the dividend (4.8) the same number of places. So, we’ll move the decimal point in the dividend one place to the right, making it 48.
Step 3: Divide
Now, divide the new dividend (48) by the new divisor (6).
48 ÷ 6 = 8
Step 4: Write the Answer
Finally, write the answer, making sure to include the decimal point in the correct place. Since we moved the decimal point one place to the right in the dividend, we’ll move it one place to the left in the answer.
8 → 8.0
So, the final answer is 8.0.
Practice Time!
Now it’s your turn to practice decimal division. Try the following problems:
- 2.4 ÷ 0.4 =?
- 9.6 ÷ 1.2 =?
- 7.2 ÷ 0.9 =?
Solutions
- 2.4 ÷ 0.4 = 6.0
- 9.6 ÷ 1.2 = 8.0
- 7.2 ÷ 0.9 = 8.0
Tips and Tricks
- Always line up the decimal points when writing the problem.
- Move the decimal point in the divisor and dividend the same number of places.
- Check your answer by plugging it back into the original problem.
| Problem | Solution |
|---|---|
| 4.8 ÷ 0.6 =? | 8.0 |
| 2.4 ÷ 0.4 =? | 6.0 |
| 9.6 ÷ 1.2 =? | 8.0 |
By following these steps and practicing regularly, you’ll become a pro at decimal division in no time!
To recap, the key steps to master decimal division are:
- Write the problem with lined-up decimal points.
- Move the decimal point in the divisor and dividend the same number of places.
- Divide the new dividend by the new divisor.
- Write the answer, making sure to include the decimal point in the correct place.
Remember, practice makes perfect. Keep practicing, and you’ll be dividing decimals like a pro in no time!
What is decimal division?
+Decimal division is a way of dividing a decimal number by another decimal number.
Why do we need to move the decimal point in the divisor and dividend?
+We need to move the decimal point to make the divisor a whole number, making it easier to divide.
How do we write the answer to a decimal division problem?
+We write the answer, making sure to include the decimal point in the correct place.
Related Terms:
- Dividing Decimals Worksheet PDF
- 6th grade Decimal Operations worksheets
- Division of decimals grade 6
- Fraction to decimal grade 6
- Decimals worksheets Grade 6 PDF
