Solve Decimal Subtraction: 19.28 - 17.99 Step by Step

Decimal Subtraction with Borrowing

Solve the following exercise and circle the appropriate answer:

19.28-17.99

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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
00:07 We borrow from the next number
00:11 The current digit decreases by 1, and the previous digit increases by 10
00:14 Now we subtract from the larger number
00:19 Again we borrow from the next number
00:23 The current digit decreases by 1, and the previous digit increases by 10
00:27 Now we subtract from the larger number
00:35 We place and continue to subtract and place accordingly
00:43 We reduce the 0
00:47 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:

19.28-17.99

2

Step-by-step solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point:

89= 8-9=

Since we cannot subtract, we'll borrow ten from the tenths after the decimal point and get:

189=9 18-9=9

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

219=19 2-1-9=1-9

Since we cannot subtract, we'll borrow ten from the tens digit of the whole number and get:

119=2 11-9=2

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

Since we borrowed ten from the tens digit of the whole number we get:

917=1 9-1-7=1

11=0 1-1=0

And we get:

19.2817.9901.29 19.28\\-17.99\\01.29

We can ignore the 0 before the 1, so we got the number: 1.29

3

Final Answer

1.29

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically to maintain place values
  • Borrowing: Borrow 10 from next column when needed: 18 - 9 = 9
  • Check: Add result to subtrahend: 1.29 + 17.99 = 19.28 ✓

Common Mistakes

Avoid these frequent errors
  • Not borrowing correctly across decimal places
    Don't forget to reduce the borrowed digit by 1 and add 10 to the current digit = wrong calculations! Students often borrow 10 but forget to subtract 1 from the lending place, creating errors throughout. Always subtract 1 from the place you borrowed from and add 10 to the current place.

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 line up the decimal points?

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Decimal alignment ensures each digit is in the correct place value! Without proper alignment, you'd be subtracting tenths from hundredths, which gives completely wrong answers.

What happens when I can't subtract a digit?

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When the top digit is smaller than the bottom digit, you need to borrow from the next column to the left. Borrow 10, add it to your current digit, then subtract 1 from the column you borrowed from.

How do I borrow from a decimal place?

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Borrowing works the same way across the decimal point! For example, if you need to borrow from the tenths place (2) to help the hundredths place (8), the tenths becomes 1 and hundredths becomes 18.

Why is the answer 1.29 instead of 01.29?

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We don't write leading zeros before whole numbers! The zero in the ones place means there are no complete units, so we write 1.29 instead of 01.29.

How can I check if my subtraction is correct?

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Add your answer to the number you subtracted: 1.29+17.99=19.28 1.29 + 17.99 = 19.28 . If you get the original number, your subtraction is correct!

What if I make a mistake while borrowing?

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If your final answer doesn't check out, trace back through each borrowing step. Make sure you subtracted 1 from each place you borrowed from and added 10 to the place that needed help.

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