Solve Vertical Subtraction: 3167 minus 2245

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider borrowing 2 digits, and then we'll place

00:06 Subtract ones from ones, and place in ones

00:09 Subtract tens from tens, and place in tens

00:13 1 is less than 2

00:19 Therefore we'll borrow 1 from thousands, and add this amount to hundreds

00:24 This means now instead of 1 we'll have 11

00:28 Subtract the hundreds from hundreds plus the hundred

00:32 Place in hundreds

00:36 Subtract thousands from thousands, and place in thousands

00:39 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of subtracting $2245$ from $3167$ , we'll perform vertical subtraction using step-by-step borrowing:

Let's set up the subtraction:

$\begin{array}{c} & 3 & 1 & 6 & 7 \\ - & 2 & 2 & 4 & 5 \\ \hline \\ \end{array}$

We start subtracting from the rightmost column (units):

Units: $7 - 5 = 2$
Tens: We need to subtract $4$ from $6$ : $6 - 4 = 2$
Hundreds: $1 < 2$ , so borrow $1$ from the thousands place:
- The number becomes $2$ in thousands place and hundreds place becomes $11$ .
- Subtract $2$ from $11$ : $11 - 2 = 9$ .
Thousands: $2 - 2 = 0$

The calculation results in:

$\begin{array}{c} & & & & 9 & 2 & 2 \\ \hline \end{array}$

Thus, the final result of the subtraction is $922$ .

Therefore, the solution to the problem is $922$ .