Solve the Decimal Subtraction: 4.1 - 0.1 Step by Step

Decimal Subtraction with Aligned Place Values

4.10.1= 4.1-0.1=

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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 Place the decimal point in the appropriate position
00:10 We'll start by subtracting the corresponding smallest digits
00:13 Place and continue to subtract and calculate
00:18 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

4.10.1= 4.1-0.1=

2

Step-by-step solution

To solve this problem, we'll perform the subtraction 4.10.1 4.1 - 0.1 .

Here are the steps we will follow:

  • Step 1: Align the decimal points for both numbers.
  • Step 2: Subtract each corresponding digit starting from the rightmost position.
  • Step 3: Ensure the decimal point in the result is directly below the decimal points of the numbers being subtracted.

Now, let's work through each step:

Step 1: Align the numbers:
4.10.1\begin{array}{r} 4.1 \\ - 0.1 \\ \hline \end{array}

Step 2: Perform the subtraction digit by digit:

The tenths column calculation:
11=01 - 1 = 0

The units column calculation:
40=44 - 0 = 4

Step 3: Write down the resulting number with the decimal point correctly placed:
4.04\begin{array}{r} 4.0 \\ \hline 4 \end{array}

Since the trailing zero in 4.04.0 is not necessary, we can write our final answer as 44.

Therefore, the solution to the problem 4.10.1 4.1 - 0.1 is 4 4 .

3

Final Answer

4

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Always line up decimal points before subtracting
  • Technique: Subtract digit by digit: 4.1 - 0.1 becomes 1-1=0, 4-0=4
  • Check: Add result back: 4 + 0.1 = 4.1 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up the rightmost digits instead of decimal points = wrong place values! This makes you subtract wrong digits and get incorrect answers. Always align the decimal points vertically before subtracting.

Practice Quiz

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FAQ

Everything you need to know about this question

Why does 4.1 - 0.1 equal 4 and not 4.0?

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Both 4 and 4.0 represent the same value! We typically drop trailing zeros after the decimal point unless they're needed to show precision. So 4.0 simplifies to just 4.

What if the numbers have different amounts of decimal places?

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Add zeros to make them the same length! For example, to subtract 2.5 - 0.25, rewrite as 2.50 - 0.25. This keeps everything aligned properly.

Do I always subtract from right to left?

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Yes! Just like with whole numbers, start from the rightmost column and work left. This ensures you handle any borrowing correctly if needed.

How can I check my decimal subtraction?

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Use addition! Add your answer to the number you subtracted. If you get the original number back, your subtraction is correct.

What does it mean to 'align decimal points'?

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Line up the decimal points vertically so they're directly above and below each other. This ensures you're subtracting tenths from tenths, units from units, etc.

Can decimal subtraction give me a negative answer?

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Yes! If you subtract a larger decimal from a smaller one, like 0.14.1 0.1 - 4.1 , you'll get -4.0 or -4. The process is the same, just watch your signs!

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