Subtract 968 minus 89: Vertical Format Solution

Video Solution

Solution Steps

00:00 Solve

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

00:05 8 is less than 9

00:12 Therefore we subtract 1 from the tens and add this amount to the ones

00:17 Meaning now instead of 8 we will have 18

00:22 We subtract the ones from the ones plus ten

00:27 We place in the ones

00:31 5 is less than 8

00:37 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:41 Meaning now instead of 5 we will have 15

00:46 We subtract the tens from the tens plus ten

00:52 We place in the tens

00:56 We place 0 in the missing digits

01:00 Subtract hundreds from hundreds, and place in hundreds

01:03 And this is the solution to the question

Step-by-Step Solution

To solve the problem $968 - 89$ using vertical subtraction, follow these steps:

$\begin{array}{c} ~ & 9 & 6 & 8 \\ - & ~ & 8 & 9 \\ \hline \end{array}$

Subtract the rightmost column (units):
Since $8 - 9$ is not possible directly, we borrow 1 from the tens column.
After borrowing, the units column becomes $18 - 9 = 9$ .

$\begin{array}{c} ~ & 9 & \cancel{\textcolor{red}{6}}~{5} \to & 18 \\ - & ~ & 8~~ & 9 \\ \hline ~ & ~ & ~ & 9 \\ \end{array}$

Subtract the tens column:
After borrowing, the tens column becomes $5 - 8$ not possible, so borrow 1 from the hundreds column.
After borrowing, the tens column becomes $15 - 8 = 7$ .

$\begin{array}{c} ~ & \cancel{\textcolor{red}{9}}~ 8\to &{15} & 8 \\ - & ~ & 8 & 9 \\ \hline ~ & ~ & 7 \\ \end{array}$

Subtract the hundreds column:
Now simply $8 - 0 = 8$ since there is nothing to subtract.

$\begin{array}{c} ~ & 8 & ~ & ~ \\ - & ~ & ~ & ~ \\ \hline &8 & 7 & 9 \\ \end{array}$

Therefore, the solution to the problem is $879$ .