Solve: 768 minus 74 - Three-Digit Subtraction Problem

Video Solution

Solution Steps

00:00 Solve

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

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

00:09 6 is less than 7

00:13 Therefore we subtract 1 from hundreds, and add this amount to tens

00:17 Meaning now instead of 6 we will have 16

00:20 Subtract tens from tens plus the ten

00:24 Place in tens

00:27 Place 0 in the missing digits

00:30 Subtract hundreds from hundreds, and place in hundreds

00:33 And this is the solution to the question

Step-by-Step Solution

To solve this subtraction problem of $768 - 74$ , we'll use vertical subtraction with borrowing:

Let's lay out the subtraction:

$\begin{array}{c} &7\ 6\ 8 \\ - & \phantom0\ 7\ 4 \\ \hline \end{array}$

Follow these steps:

Step 1: Start with the ones column. Subtract 4 from 8. Since 8 is larger, we simply do $8 - 4 = 4$ .
Step 2: Move to the tens column. Subtract 7 from 6. Here, 6 is smaller than 7, so we need to borrow from the hundreds column.
    - Cross out the "7" in hundreds place and reduce it by 1 to make it "6".
    - Change 6 in the tens place to 16.
    - Now, perform the subtraction: $16 - 7 = 9$ .
Step 3: Move to the hundreds column. Subtract 0 from 7 (after reduction): $7 - 0 = 6$ .

Thus, the result of the subtraction is:

$\begin{array}{c} 6\ 9\ 4 \\ \end{array}$

Therefore, the answer to the subtraction problem is $694$ .