Solve Decimal Subtraction: 33.10 - 11.10 Step by Step

Decimal Subtraction with Place Value Alignment

Solve the following exercise:

33.10-11.10

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place the point in the appropriate location
00:06 Subtract accordingly, and substitute
00:14 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

Solve the following exercise:

33.10-11.10

2

Step-by-step solution

Let's solve the exercise in order:

We'll first subtract the hundreds after the decimal point:

00=0 0-0=0

Next, we'll subtract the tenths after the decimal point:

11=0 1-1=0

Finally, we'll subtract the whole numbers before the decimal point accordingly:

31=2 3-1=2

31=2 3-1=2

Therefore:

33.1011.1022.00 33.10\\-11.10\\22.00

3

Final Answer

22

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up decimal points to match place values correctly
  • Technique: Subtract column by column: hundredths (0-0=0), tenths (1-1=0), ones (3-1=2)
  • Check: Add your answer to the subtracted number: 22.00 + 11.10 = 33.10 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up the rightmost digits without considering decimal points = wrong place value subtraction! This treats 33.10 as 3310 and 11.10 as 1110, giving completely wrong results. Always align decimal points first, then subtract column by column.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do the trailing zeros matter in 33.10 and 11.10?

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The zeros show place value! 33.10 has 1 tenth and 0 hundredths, while 33.1 looks different but means the same thing. Including zeros helps you align columns correctly during subtraction.

Can I just ignore the decimal point and subtract 3310 - 1110?

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No! That changes the actual values completely. 33.10 means thirty-three and one tenth, not three thousand three hundred ten. Always keep the decimal point in the same position.

What if I get confused about which column to subtract first?

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Start from the rightmost column (hundredths place) and work left, just like regular subtraction. Think: hundredths, then tenths, then ones, then tens.

Why is my answer 22.00 instead of just 22?

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Both are correct! 22.00=22 22.00 = 22 . The trailing zeros after the decimal point don't change the value, but they show you worked with hundredths place precision.

How do I check if my decimal subtraction is right?

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Use addition to check: Add your answer to the number you subtracted. 22.00+11.10=33.10 22.00 + 11.10 = 33.10 ✓ This matches the original number!

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