Subtract 667 from 756: Vertical Format Three-Digit Subtraction

756667776 \begin{aligned} &756 \\ -& \\ &667 \\ &\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 we consider borrowing 2 digits, and then we place
00:06 6 is less than 7
00:10 Therefore we subtract 1 from the tens and add this amount to the ones
00:14 So now instead of 6 we will have 16
00:17 We subtract the ones from the ones plus ten
00:20 We place in the ones
00:25 4 is less than 6
00:29 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:32 So now instead of 4 we will have 14
00:36 We subtract the tens from the tens plus ten
00:42 We place in the tens
00:47 We subtract hundreds from hundreds, and place in hundreds
00:53 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

756667776 \begin{aligned} &756 \\ -& \\ &667 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Write down the numbers aligning them by their place values:

7566670 \begin{aligned} & 756 \\ - & 667 \\ \hline \phantom{0} \end{aligned}

  • Step 2: Subtract the units digit:

The units digit of 756 is 6, and the units digit of 667 is 7. Since 6 < 7, we need to regroup. We borrow 1 from the tens column, turning the 5 into a 4, and make the 6 into 16. Now 167=9 16 - 7 = 9 .

  • Step 3: Subtract the tens digit:

After regrouping, the tens digit of 756 became 4, and we subtract the tens digit of 667, which is 6. Again, since 4 < 6, we need to regroup from the hundreds column. Borrowing 1, we turn the 7 into a 6, and the 4 into 14. Now 146=8 14 - 6 = 8 .

  • Step 4: Subtract the hundreds digit:

The hundreds digit of 756 after regrouping is now 6, and for 667, it is 6 as well. So, 66=0 6 - 6 = 0 .

After completing the subtraction, we have:

756667089 \begin{aligned} & 756 \\ - & 667 \\ \hline & 089 \end{aligned}

Therefore, the solution to the subtraction problem is 89 \boldsymbol{89} .

3

Final Answer

89

Practice Quiz

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\( \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)\( \)

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