Subtract Decimals: Finding 16.44 - 0.66 Step by Step

Decimal Subtraction with Column Borrowing

16.440.66-

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:07 We'll start subtracting from right to left.
00:10 If the digit is too small to subtract, we borrow from the next one.
00:16 The next digit decreases by one, and our original digit increases by ten.
00:21 Now, let's subtract from this larger number.
00:26 Calculate carefully and write down your answer.
00:32 If the next digit is also too small, just borrow again.
00:37 Use the same borrowing method as before.
00:48 Calculate your answer, step by step.
00:55 Keep subtracting, calculating each time, and writing each result.
01:13 Great job! That's the solution to our problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

16.440.66-

2

Step-by-step solution

To solve this problem of subtracting 0.660.66 from 16.4416.44, we need to perform the following steps:

  • Step 1: Write down the numbers vertically and align the decimal points:

16.44  0.66 \begin{aligned} 16.44 \\ \underline{-~~ 0.66}\\ \end{aligned}

  • Step 2: Subtract the hundredths place:

  • 4 minus 6 cannot be done without borrowing. Borrow 1 from the tenths place, so it becomes 3, and the hundredths becomes 14.
    146=814 - 6 = 8.

  • Step 3: Subtract the tenths place (after borrowing):

  • 3 minus 6 again requires borrowing. Borrow 1 from the units place, leaving it as 5. The tenths place becomes 13.
    136=713 - 6 = 7.

  • Step 4: Subtract the units place:

  • 5 minus 0 gives 55.

  • Step 5: Subtract the tens place:

  • 1 minus 0 gives 11.

    This gives us a final result of 15.7815.78.

    Therefore, the solution to the problem is 15.78 \text{15.78} .

3

Final Answer

15.78

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before subtracting
  • Borrowing: When 4-6 becomes impossible, borrow: 14-6=8
  • Check: Add your answer to subtrahend: 15.78+0.66=16.44 ✓

Common Mistakes

Avoid these frequent errors
  • Not borrowing correctly across decimal places
    Don't just ignore borrowing when top digit is smaller = wrong answer like 16.22! This happens when you subtract 6-4=2 instead of borrowing. Always borrow from the next place value to make subtraction possible.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is written correctly in relation to the position of the decimal point:

2.10-3.2

FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

+

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

What happens when I need to borrow from a decimal place?

+

Borrowing works the same way! When you borrow 1 from the tenths place, it becomes 10 hundredths. So 4 hundredths becomes 14 hundredths after borrowing.

How do I know when to borrow?

+

You need to borrow whenever the top digit is smaller than the bottom digit. In 16.440.6616.44 - 0.66, you can't do 4-6, so you must borrow!

Can I check my decimal subtraction answer?

+

Yes! Add your answer to the number you subtracted: 15.78+0.6615.78 + 0.66. If you get the original number 16.4416.44, you're correct!

What if I forget to borrow and just subtract the smaller from larger?

+

This gives you the wrong answer! If you do 6-4=2 instead of borrowing, you'll get 16.22 instead of the correct 15.78. Always borrow when needed!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations