Subtract 1789 - 793: Vertical Format Solution Guide

Multi-digit Subtraction with Borrowing

1789  793776 \begin{aligned} &1789 \\ -& \\ &~~793 \\ &\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 shortage of 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:09 8 is less than 9
00:16 Therefore we subtract 1 from hundreds, and add this amount to tens
00:20 So now instead of 8 we will have 18
00:25 Subtract tens from tens plus the ten
00:28 Place in tens
00:32 6 is less than 7
00:38 Therefore we subtract 1 from thousands, and add this amount to hundreds
00:44 So now instead of 6 we will have 16
00:51 Subtract hundreds from hundreds plus the hundred
00:54 Place in hundreds
00:57 Place 0 in the missing digits
01:00 Subtract thousands from thousands, and place in thousands
01:03 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

1789  793776 \begin{aligned} &1789 \\ -& \\ &~~793 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll carry out vertical subtraction by following these steps:

  • Step 1: Write the minuend and subtrahend vertically aligned, ensuring each digit stands in its respective column.
  • Step 2: Start subtracting from the rightmost column (units) and move leftwards, managing any requisite borrowing.

Let's execute the subtraction:

Step 1: Begin with the units column.

93=6 9 - 3 = 6

Step 2: Move to the tens column.

89 8 - 9

Since 8 is smaller than 9, we need to borrow 1 from the hundreds column, changing 8 to 18:

189=9 18 - 9 = 9

Step 3: Move to the hundreds column. Since we've borrowed 1, adjust accordingly.

67 6 - 7

Here, we again need to borrow from the thousands column making it 16:

167=9 16 - 7 = 9

Step 4: In the thousands column, after borrowing, we have:

10=0 1 - 0 = 0

Thus, compiling the subtractions, we are left with the final solution:

996 996

Therefore, the solution to the subtraction problem 1789793 1789 - 793 is 996 996 , which corresponds to choice 2.

3

Final Answer

996

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always align digits by place value before starting subtraction
  • Technique: Borrow from left column when top digit is smaller: 8 becomes 18
  • Check: Add the answer to subtrahend: 996 + 793 = 1789 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust borrowed-from digits
    Don't subtract 7 - 7 = 0 in hundreds column after borrowing = wrong answer 1996! When you borrow 1 from a column, that digit decreases by 1. Always reduce the borrowed-from digit before subtracting.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I need to borrow when the top number is bigger overall?

+

Even though 1789 is bigger than 793, you still need to borrow when individual digits on top are smaller. Look at each column separately - that's how place value works!

What happens to the digit I borrow from?

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When you borrow 1 from a digit, that digit decreases by 1. So if you borrow from 7 in the hundreds place, it becomes 6 before you subtract.

How do I know which direction to work?

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Always start from the rightmost column (ones place) and work left. This ensures you handle any borrowing correctly as you move through each place value.

What if I need to borrow from a zero?

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If you need to borrow from 0, you must first borrow from the column to its left. The 0 becomes 10, then you borrow 1 from it, making it 9.

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 number back, you're right! 996+793=1789 996 + 793 = 1789

Why does borrowing make the digit worth 10 more?

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When you borrow 1 from the tens place, you're actually borrowing 10 ones. So 8 ones plus 10 borrowed ones equals 18 ones total.

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