Decimal Subtraction: Calculate 16.29 - 13.35

Decimal Subtraction with Borrowing

Solve the following exercise and circle the appropriate answer:

16.29-13.35

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Subtract accordingly, and substitute
00:06 When we need to subtract a number larger than what we have
00:09 We borrow from the next number
00:12 The next digit decreases by 1, and the previous digit increases by 10
00:15 Now subtract from the larger number
00:19 Substitute and continue to subtract and place accordingly
00:26 Reduce the 0
00:29 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:

16.29-13.35

2

Step-by-step solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point

95=4 9-5=4

Let's subtract the tenths after the decimal point:

23= 2-3=

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

123=9 12-3=9

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:

613=2 6-1-3=2

11=0 1-1=0

And we get:

16.2913.3502.94 16.29\\-13.35\\02.94

We can ignore the 0 before the 2, so we got the number: 2.94

3

Final Answer

2.94

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before subtracting
  • Borrowing: When 2 < 3, borrow 10 from tens digit: 12 - 3 = 9
  • Check: Add answer to subtrahend: 2.94 + 13.35 = 16.29 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust borrowed digits
    Don't subtract 6 - 3 = 3 after borrowing from the 6! This ignores the borrowing and gives 3.94 instead of 2.94. Always reduce the digit you borrowed from: 6 becomes 5, so calculate 5 - 3 = 2.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

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Lining up decimal points ensures you're subtracting like place values - tenths from tenths, hundredths from hundredths. Without proper alignment, you'll get completely wrong answers!

What does 'borrowing' mean in decimal subtraction?

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Borrowing means taking 10 from the next higher place value when you can't subtract. For example, when 2 - 3 is impossible, borrow 10 from the tens place to make it 12 - 3 = 9.

How do I know when I need to borrow?

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You need to borrow whenever the top digit is smaller than the bottom digit in any column. Like 2 < 3 in the tenths place of this problem!

What happens to the digit I borrow from?

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The digit you borrow from gets reduced by 1. In our problem, the 6 in the tens place became 5 after we borrowed 10 for the tenths column.

Can I check my answer?

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Yes! Add your answer to the number you subtracted. If you get the original number, you're correct: 2.94+13.35=16.29 2.94 + 13.35 = 16.29

Why did the explanation show 02.94 instead of 2.94?

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The leading zero shows the borrowing process clearly, but we don't need it in our final answer. Both 02.94 and 2.94 represent the same number!

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