Solve Decimal Subtraction: Finding the Difference Between 101.23 and 100.1

Decimal Subtraction with Different Place Values

101.23100.1-

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place 0 in missing digits, place the decimal point
00:06 First subtract the smallest digits
00:10 Calculate and place
00:15 Continue to subtract, calculate and place accordingly
00:51 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

101.23100.1-

2

Step-by-step solution

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

  • Align the decimal numbers vertically by placing the decimal points in the same column.
  • Subtract each digit from right to left, ensuring to borrow from the next column if necessary.

Let's apply these steps to the problem:

1. Write the numbers in a vertical format:
101.23
- 100.10
---------

2. Start subtracting from the rightmost column.
- In the hundredths place, subtract 303 - 0, which equals 33.
- Move to the tenths place: subtract 212 - 1, which equals 11.
- Move to the ones place: 101 - 0 equals 11.
- Finally, in the tens place, 000 - 0 equals 00, and in the hundreds place, 111 - 1 equals 00.

3. Combine the digits we calculated by restoring the decimal point placement to get the result:
1.13

Therefore, the solution to the problem is 1.13 1.13 .

3

Final Answer

1.13

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically for accurate column subtraction
  • Technique: Add placeholder zeros: 100.1 becomes 100.10 for easier calculation
  • Check: Add result to subtrahend: 1.13 + 100.10 = 101.23 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting without aligning decimal points
    Don't subtract 101.23 - 100.1 by treating them as whole numbers like 10123 - 1001 = wrong answer! This ignores decimal place values and gives 9122 instead of 1.13. Always align decimal points vertically first.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0.6+0}.5= \)

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 100.1?

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Adding a zero makes 100.10 which helps you see that the hundredths place has 0. This makes subtraction clearer: 3 - 0 = 3 in the hundredths column!

What if the top number is smaller in a column?

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You would need to borrow from the next column to the left, just like with whole numbers. Fortunately, in this problem 101.23 is larger than 100.10 in every place!

Can I subtract from left to right instead?

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No! Always subtract from right to left (smallest place value first). This ensures borrowing works correctly when you need it.

How do I know where to put the decimal point in my answer?

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The decimal point in your answer goes in the same column as the decimal points in the problem. Since we aligned them vertically, it stays in that same position!

Is 1.13 the same as 1.130?

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Mathematically yes, but 1.13 is the preferred answer because we don't write unnecessary trailing zeros after the decimal point unless specifically required.

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