Solve 406 minus 78: Vertical Subtraction Practice Problem

Video Solution

Solution Steps

00:00 Solve

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

00:06 6 is less than 8

00:09 The tens digit is also equal to 0 so we can't borrow from it

00:12 We'll borrow a hundred from the hundreds for the tens

00:17 So now instead of 0 we'll have 10, in the tens!

00:21 And now we'll borrow ten from the tens for the ones

00:24 Which will change the tens from 10 to 9

00:27 So now instead of 6 we'll have 16, in the ones!

00:33 Now subtract ones from ones, and place in ones

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

00:42 Place 0 in the missing digits

00:46 Subtract hundreds from hundreds, and place in hundreds

00:49 And that's the solution to the problem

Step-by-Step Solution

To solve this subtraction problem $406 - 78$ , we use the vertical subtraction method, aligning the numbers by their place values:

Step-by-step process:

Align the numbers columnwise:
406
- 78
- - - - -
Subtract each column, starting from the right:
- Units place: $6 - 8$ cannot be done directly, so we need to borrow.
- Look to the tens column (0), but it is not possible to borrow directly from zero. Instead, we move to the hundreds column.
- From the hundreds, the 4 becomes a 3 (after borrowing), and the tens place (0) becomes 10. Borrow from 10 in tens, so it becomes 9 while units becomes 16.
Perform the subtraction with borrowing adjusted:
- Units place: $16 - 8 = 8$
- Tens place: $9 - 7 = 2$
- Hundreds place: $3 - 0 = 3$

The result of subtracting 78 from 406 is $\mathbf{328}$ .

The correct answer, matching our calculation, is option 3: 328.