Subtract Decimals: 28.18 - 19.29 in Vertical Format

Decimal Subtraction with Borrowing Across Places

Solve the following exercise and circle the appropriate answer:

28.18-19.29

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 When we need to subtract a larger number from the number we have
00:06 We borrow from the next number
00:10 The digit decreases by 1, and the previous digit increases by 10
00:14 Now we subtract from the larger number
00:17 We place and continue to subtract and place accordingly
00:20 Again we borrow from the next number
00:23 The digit decreases by 1, and the previous digit increases by 10
00:26 Now we subtract from the larger number
00:29 We place and continue to subtract and place accordingly
00:32 And again we use the same method, and subtract
00:49 We reduce the 4
00:52 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 and circle the appropriate answer:

28.18-19.29

2

Step-by-step solution

Solve the following exercise in the correct order:

Let's subtract the hundreds after the decimal point:

89= 8-9=

Given that we cannot subtract, we will instead borrow ten from the tenths after the decimal point and obtain the following:

189=9 18-9=9

Let's subtract the tenths after the decimal point, remembering that we borrowed ten, therefore:

112=02 1-1-2=0-2

Due to the fact that we cannot subtract, we will instead borrow ten from the tens digit of the whole number as shown below:

102=8 10-2=8

Finally, let's proceed to subtract the whole numbers before the decimal point accordingly.

Since we borrowed ten from the tens digit of the whole number, we will obtain the following:

819=79 8-1-9=7-9

Given that we cannot subtract, we will instead borrow ten from the ones digit of the whole number as shown below:

179=8 17-9=8

Remember that we borrowed ten from the ones digit, therefore we obtain the following:

211=0 2-1-1=0

And we obtain:

28.1819.2908.89 28.18\\-19.29\\08.89

Ignoring the 0 before the 8, we obtain the number: 8.89

3

Final Answer

8.89

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points to match place values correctly
  • Borrowing: When 8 - 9 is impossible, borrow 10 from next place
  • Check: Add your answer to subtrahend: 8.89 + 19.29 = 28.18 ✓

Common Mistakes

Avoid these frequent errors
  • Not borrowing correctly across multiple place values
    Don't just borrow once and stop = incomplete borrowing creates wrong digits! Students often borrow from hundredths to tenths but forget to adjust the tens place when borrowing continues. Always track each borrowing step and reduce every place you borrow from by 1.

Practice Quiz

Test your knowledge with interactive questions

\( 2.6:0.1= \)

FAQ

Everything you need to know about this question

Why do I need to borrow so many times in this problem?

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In 28.18 - 19.29, you need to borrow three times! First from tenths to hundredths (8-9), then from units to tenths (1-2), and finally from tens to units (8-9). Each borrowing creates a chain reaction when the next digit is also too small.

How do I keep track of all the borrowing?

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Write small numbers above each digit as you borrow! For example, when you borrow 10 from the tenths place, cross out the 1 and write 0, then add 10 to the hundredths place. This visual method prevents confusion.

What happens when I borrow 10 from a decimal place?

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When you borrow from decimal places, you're still borrowing 10 units of that place value. Borrowing from tenths gives you 10 hundredths, just like borrowing from tens gives you 10 ones!

Can I check my decimal subtraction answer?

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Yes! Use addition to check subtraction. Add your answer (8.89) to what you subtracted (19.29). If you get the original number (28.18), your subtraction is correct!

Why is my answer 8.89 and not 08.89?

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We don't write unnecessary zeros before whole numbers! Since 08.89 = 8.89, we drop the leading zero. However, zeros after the decimal point (like in 8.90) do matter for precision.

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