Subtract 667 from 756: Vertical Format Three-Digit Subtraction

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

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

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

• 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 $16 - 7 = 9$.

• 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 $14 - 6 = 8$.

• 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, $6 - 6 = 0$.

After completing the subtraction, we have:

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

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