Decimal Subtraction: Solve 0.6 - 0.3 Step by Step

Decimal Subtraction with Aligned Place Values

0.6-0.3= \text{0.6-0}.3=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We will use long subtraction for calculation
00:07 We will place the decimal point in the appropriate position
00:10 We will start by subtracting the corresponding smallest digits
00:13 We will substitute and continue to subtract and calculate
00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

0.6-0.3= \text{0.6-0}.3=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Perform the subtraction of the decimal numbers

Now, let's work through each step:
Step 1: The problem gives us two decimal numbers, 0.60.6 and 0.30.3.

Step 2: Align the decimal points and subtract:

0.60.3=0.30.6 - 0.3 = 0.3

Therefore, the solution to the problem is 0.30.3.

3

Final Answer

0.3

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up decimal points before subtracting digits
  • Technique: Subtract column by column: 6 tenths - 3 tenths = 3 tenths
  • Check: Add your answer to the subtracted number: 0.3 + 0.3 = 0.6 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't write 0.6 - 0.3 as 6 - 3 = 3 without decimals! This ignores place values and gives wrong results. Always line up the decimal points first, then subtract each place value column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

+

Decimal points show place value! Just like in whole numbers, you can only subtract digits that are in the same place value column. Lining up decimals ensures tenths subtract from tenths.

What if the decimals have different numbers of digits?

+

Add zeros to make them the same length! For example, 0.6 becomes 0.60 when subtracting from 0.25. This doesn't change the value but makes alignment easier.

How is this different from subtracting whole numbers?

+

It's exactly the same process! The only difference is you need to keep track of the decimal point and make sure it appears in your answer in the same position.

Can I do this problem in my head?

+

Yes! Think of it as 6 tenths minus 3 tenths equals 3 tenths. This mental math approach works great for simple decimal subtractions like this one.

What if I get confused about place values?

+

Remember: the first digit after the decimal point is tenths, the second is hundredths. Write out place value names if it helps you keep track!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations