Solve Vertical Subtraction: 767 minus 9 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider a shortage of 2 digits, and then place

00:06 7 is less than 9

00:09 Therefore subtract 1 from the tens, and add this amount to the ones

00:14 Which means now instead of 7 we will have 17

00:19 Subtract the ones from the ones plus ten

00:22 Place in the ones

00:25 Place 0 in the missing digits

00:28 Subtract tens from tens, and place in tens

00:32 Subtract hundreds from hundreds, and place in hundreds

00:35 And this is the solution to the question

Step-by-Step Solution

To solve the subtraction of 9 from 767, we will perform the following steps:

Step 1: Set up the subtraction in a vertical format:
$\begin{array}{c} 767 \\ - 9 \\ \hline \end{array}$
Step 2: Start with the units column (rightmost column). We have 7 in the units place of the number 767. Since 7 is greater than 9, we need to regroup.
Step 3: Regroup by borrowing 1 ten from the tens place (left to the units), changing the 6 in the tens column to a 5, and making the units 10 + 7 = 17.
Step 4: Now, subtract the units place: 17 - 9 = 8.
Step 5: Move to the tens column. After regrouping, we have 5 in the tens place. Subtract 0 (nothing was subtracted here beyond initial borrowing), so it remains 5.
Step 6: Finally, look at the hundreds column. Since no borrowing affected this column, simply bring the 7 down.

The resulting number after subtracting 9 from 767 is 758.

Therefore, the solution to the subtraction problem is $758$ .