Solve Vertical Subtraction: 24 minus 5 Step-by-Step

Vertical Subtraction with Regrouping

24  5776 \begin{aligned} &24 \\ -& \\ &~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider a subtraction of 2 digits, and then we'll place
00:06 4 is less than 5
00:10 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 So now instead of 4 we will have 14
00:29 We subtract the ones from the ones plus ten
00:34 We place in ones
00:37 We place 0 in the missing digits
00:41 Subtract tens from tens, and place in tens
00:45 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

24  5776 \begin{aligned} &24 \\ -& \\ &~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers vertically by place value, with larger on top.
  • Step 2: Subtract the digit in the ones place.
  • Step 3: Consider if regrouping is needed for subtraction.

Now, let's work through each step:

Step 1: Align the numbers vertically like this:
240  5\begin{array}{r} 24 \\ - \phantom{0}\\ ~~5 \\ \end{array}

Step 2: Start subtraction at the units (ones) place and go from right (ones column) to left (tens column):

Subtract the ones place:
4 (top number) - 5 (bottom number) is not possible without borrowing because 4 is less than 5.

Step 3: Regroup: Borrow 1 ten from the tens place of the top number 2424:
- Turn the 2 tens into 1 ten, so it becomes 1 in the tens place, and add 10 to the ones place, turning it into 14.

Now we have:
1140   5\begin{array}{r} 1 {14} \\ - \phantom{0}\\ ~~~5 \\ \end{array}

Now subtract the ones: 145=914 - 5 = 9
Subtract the tens: 10=11 - 0 = 1 (as there are no tens in 55).
Combine them to get 19.

Therefore, the solution to the problem is 1919.

3

Final Answer

19

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place values must line up correctly before subtracting
  • Regrouping: Borrow 1 ten when ones digit too small: 4 becomes 14
  • Check: Add your answer to the subtracted number: 19 + 5 = 24 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the tens place after borrowing
    Don't subtract 4 - 5 = impossible, then ignore borrowing = wrong answer! Students often borrow 10 but forget to reduce the tens place from 2 to 1. Always remember: when you borrow 1 ten, reduce the tens digit by 1.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

When do I need to borrow in subtraction?

+

You need to borrow when the top digit is smaller than the bottom digit in any column. In this problem, 4 < 5, so we must borrow from the tens place.

Why does 4 become 14 when I borrow?

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When you borrow 1 ten, you're actually borrowing 10 ones! So 4 ones + 10 ones = 14 ones. Think of trading one $10 bill for ten $1 bills.

What happens to the tens place when I borrow?

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The tens place decreases by 1 because you "gave away" one ten. So 2424 becomes 11 ten and 1414 ones.

How can I check if my subtraction is correct?

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Add your answer to the number you subtracted! If you get the original top number, you're right: 19+5=2419 + 5 = 24

What if there's a 0 in the tens place?

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If the tens place is 0, you'll need to borrow from the hundreds place first, then continue borrowing. It's like a chain reaction moving left!

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