Solve: 15.222 - 11.30 Decimal Subtraction Problem

Decimal Subtraction with Borrowing

Circle the correct answer to the following exercise:

15.222-11.30

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem together!
00:09 Start by placing zero in the right spot, then set the decimal point correctly.
00:15 Next, subtract as needed. Remember to place each number carefully.
00:20 If you need to subtract a bigger number than what you have,
00:24 borrow from the next digit.
00:26 Reduce the next digit by one, and increase the current digit by ten.
00:31 Now, subtract from this new larger number.
00:35 Keep placing numbers carefully and continue subtracting as needed.
00:42 Finally, reduce the digit four,
00:46 and there you have it! This is the solution to our problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Circle the correct answer to the following exercise:

15.222-11.30

2

Step-by-step solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 11.30 as follows:

15.22211.300 15.222\\-11.300\\

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

20=2 2-0=2

Let's subtract the hundreds after the decimal point:

20=2 2-0=2

Let's subtract the tenths after the decimal point:

23= 2-3=

Since we cannot subtract, we will borrow ten from the tens digit in the whole number before the decimal point and get:

123=9 12-3=9

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

Remember that we borrowed ten from the tens digit, therefore:

511=3 5-1-1=3

11=0 1-1=0

And we get:

15.22211.30003.922 15.222\\-11.300\\03.922

3

Final Answer

3.922

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before subtracting
  • Technique: Add trailing zeros: 11.30 becomes 11.300 to match places
  • Check: Add your answer to the subtrahend: 3.922 + 11.300 = 15.222 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't subtract without lining up place values = wrong digits subtracted! When decimals aren't aligned, you subtract hundreds from tens or tenths from ones. Always align decimal points vertically and add zeros to match decimal places.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is correctly written or not.

3.05+53.2

FAQ

Everything you need to know about this question

Why do I need to add zeros to 11.30?

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Adding zeros helps you see all the place values clearly! 11.30 11.30 becomes 11.300 11.300 so you can subtract thousands, hundreds, and tenths in order.

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. In 23 2 - 3 , we borrow from the ones place: 123=9 12 - 3 = 9 .

How do I know which direction to subtract?

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Always subtract the bottom number from the top number in each place value column. Work from right to left, just like with whole numbers!

What if I get confused about place values?

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Remember the pattern: ones, tenths, hundredths, thousandths. Each place to the right of the decimal gets smaller by a factor of 10.

Can I check my answer?

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Yes! Add your answer to the number you subtracted: 3.922+11.300=15.222 3.922 + 11.300 = 15.222 . If you get the original number, you're correct!

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