Solve Subtraction: 956 minus 74 in Vertical Format

Video Solution

Solution Steps

00:00 Solve

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

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

00:09 5 is less than 7

00:15 Therefore we subtract 1 from hundreds and add this amount to tens

00:20 So now instead of 5 we will have 15

00:24 Subtract the tens from tens plus the ten

00:32 Place in tens

00:35 Place 0 in the missing digits

00:38 Subtract hundreds from hundreds, and place in hundreds

00:43 And this is the solution to the question

Step-by-Step Solution

To solve this mathematical problem, we will subtract 74 from 956 using vertical subtraction with regrouping when necessary.

Let's perform the subtraction step-by-step:

Step 1: Write the numbers one below the other, aligning them by their place values:

$\begin{aligned} & 956 \\ -& \phantom{0}74 \\ & \underline{\phantom{776}} \end{aligned}$

Step 2: Start by subtracting the units column: - We have 6 (from 956) minus 4 (from 74), which gives us 2. Place 2 in the units column of the result.
Step 3: Move to the tens column: - We have 5 (from 956) minus 7 (from 74). Since 5 is smaller than 7, we need to regroup (borrow) 1 ten from the hundreds column: - This changes the 5 in the tens column to 15 and the 9 in the hundreds column to 8. - Now, subtract 7 from 15, which gives us 8. Place 8 in the tens column of the result.
Step 4: Finally, move to the hundreds column: - We have 8 (after regrouping) minus 0 (since there is no hundreds digit in 74), which gives us 8. Place 8 in the hundreds column of the result.

Now, the result is written as:

$\begin{aligned} &956 \\ -&\phantom{0}74 \\ & \overline{882} \end{aligned}$

Therefore, the solution to the problem is 882.