Subtract 951 from 1000: Vertical Subtraction Practice

Vertical Subtraction with Borrowing Across Zeros

1000  951776 \begin{aligned} &1000 \\ -& \\ &~~951 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ 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
00:00 Solve
00:03 Each time we count a shortage of 2 digits, and then we'll place
00:06 0 is less than 1
00:09 The tens digit is also equal to 0 so we cannot borrow from it
00:12 The hundreds digit is also equal to 0 so we cannot borrow from it
00:15 We'll borrow a thousand from the thousands for the hundreds
00:19 This means now instead of 0 we'll have 10, in hundreds!
00:22 And now we'll borrow ten from the hundreds for the tens
00:25 Which will change the hundreds from 10 to 9
00:29 This means now instead of 0 we'll have 10, in tens!
00:32 And now we'll borrow ten from the tens for the ones
00:35 Which will change the tens from 10 to 9
00:39 This means now instead of 0 we'll have 10, in ones!
00:42 Now we'll subtract ones from ones, and place in ones
00:45 Subtract tens from tens, and place in tens
00:49 Subtract hundreds from hundreds, and place in hundreds
00:53 Place 0 in the missing digits
00:56 Subtract thousands from thousands, and place in thousands
00:59 And that's the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

1000  951776 \begin{aligned} &1000 \\ -& \\ &~~951 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Set up the vertical subtraction with 1000 above 951.
  • Step 2: Start subtracting from the rightmost digit.
  • Step 3: Borrow as needed across zeros.
  • Step 4: Perform the subtraction of each digit, ensuring proper arithmetic adjustment from borrowing.

Now, let's work through each step:
Step 1: We write 1000 1000 and 951 951 in vertical alignment for subtraction.
Step 2: Begin from the units column: We need to subtract 1 1 from 0 0 , so borrowing is required.
Step 3: As there are zeros in both the units and the tens place, we must borrow from the hundreds place and subsequently from the thousands place.
Step 4: Change 1000 1000 as follows for borrowing: The thousands digit gives 1 to the hundreds, transforming so it looks like 10 10 at hundreds, zero at the thousands, from which the hundreds gives 1 to the tens, and similarly tens gives 1 to the units.
The number 1000 1000 effectively becomes 0990 0990 temporarily while processing subtraction:
- Now units column: 101=9 10 - 1 = 9 .
- In the tens column: 95=4 9 - 5 = 4 .
- In the hundreds column: 99=0 9 - 9 = 0 .
- Thousands column: 00=0 0 - 0 = 0 .

Therefore, the solution to the subtraction problem of 1000951 1000 - 951 is 49 49 .

3

Final Answer

49

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When subtracting from zeros, borrow sequentially from left
  • Technique: Transform 1000 to 0990 for calculation: 10-1=9, 9-5=4
  • Check: Add your answer to subtrahend: 49 + 951 = 1000 ✓

Common Mistakes

Avoid these frequent errors
  • Attempting to subtract from zero without borrowing
    Don't try to subtract 1 from 0 directly = impossible negative digit! This creates confusion and wrong answers. Always borrow from the next non-zero digit to the left, transforming zeros into 10s along the way.

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

Why can't I just subtract 1 from 0?

+

You cannot subtract a larger number from a smaller one in basic arithmetic! When you see 0-1, you must borrow from the next column to make it 10-1 = 9.

What happens when there are multiple zeros in a row?

+

You need to borrow through all the zeros! Each zero becomes a 9 after lending 1 to the right, until you reach a non-zero digit that can actually lend.

How do I remember the borrowing pattern with 1000?

+

Think of it as breaking a big bill! The 1000 becomes 0 hundreds, 9 tens, 9 ones, and 10 in the working column. So 10000990 1000 \rightarrow 0990 for subtraction.

Is there an easier way than borrowing?

+

Borrowing is the standard method and helps you understand place value! You could also think: 1000 - 951 = 1000 - 1000 + 49 = 49, but learning to borrow builds important skills.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted: 49 + 951. If you get the original number (1000), your answer is right!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations 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