Calculate the Difference: 33.23 - 30.1 Decimal Subtraction

Q: Why do I need to add a zero to 30.1?

Adding a zero makes 30.10 so both numbers have the same number of decimal places. This helps you align the place values correctly when subtracting column by column.

Q: How do I subtract when there are different numbers of decimal places?

Add trailing zeros to make both numbers have the same number of decimal places. So 30.1 becomes 30.10, then subtract normally: $ 33.23 - 30.10 = 3.13 $

Q: Should I remove the decimal point in my answer?

Never! The decimal point shows the place value. 3.13 means 3 ones, 1 tenth, and 3 hundredths. Without the decimal point, it would be a completely different number.

Q: How can I check if my subtraction is correct?

Use addition to check: Add your answer to the number you subtracted. If you get the original number, you're right! $ 3.13 + 30.10 = 33.23 $ ✓

Decimal Subtraction with Alignment

Solve the following exercise::

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Place 0 in the appropriate place, place the point in the appropriate place

00:07 Subtract accordingly, and place

00:19 Reduce the 0

00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise::

Step-by-step solution

To avoid confusion when solving the exercise, we will first add the digit 0 to the number 30.1 as follows:

$33.23\\-30.10\\$

Now let's solve the exercise in order:

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

$3-0=3$

We'll then subtract the tenths after the decimal point:

$2-1=1$

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

$3-0=3$

$3-3=0$

Therefore:

$33.23\\-30.10\\03.13$

Final Answer

3.13

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points and add zeros for equal place values
Technique: Convert 30.1 to 30.10 before subtracting: 33.23 - 30.10
Check: Add result to subtracted number: 3.13 + 30.10 = 33.23 ✓

Common Mistakes

Avoid these frequent errors

Not aligning decimal points properly
Don't subtract 33.23 - 30.1 without proper alignment = wrong place values! This leads to subtracting hundredths from tenths incorrectly. Always line up decimal points and add trailing zeros to match place values.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 30.1?

Adding a zero makes 30.10 so both numbers have the same number of decimal places. This helps you align the place values correctly when subtracting column by column.

What if I forget to line up the decimal points?

You'll subtract the wrong digits! For example, you might subtract 1 from 3 instead of 1 from 2. Always write the numbers vertically with decimal points directly under each other.

How do I subtract when there are different numbers of decimal places?

Add trailing zeros to make both numbers have the same number of decimal places. So 30.1 becomes 30.10, then subtract normally: $33.23 - 30.10 = 3.13$

Should I remove the decimal point in my answer?

Never! The decimal point shows the place value. 3.13 means 3 ones, 1 tenth, and 3 hundredths. Without the decimal point, it would be a completely different number.

How can I check if my subtraction is correct?

Use addition to check: Add your answer to the number you subtracted. If you get the original number, you're right! $3.13 + 30.10 = 33.23$ ✓

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