Solve Three-Digit Subtraction: 478 minus 289 in Vertical Format

Video Solution

Solution Steps

00:00 Solve

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

00:06 8 is less than 9

00:10 So we'll subtract 1 from the tens place, and add this amount to the ones

00:14 Meaning now instead of 8 we'll have 18

00:19 We'll subtract the ones from the ones plus ten

00:23 We'll place in the ones place

00:35 So we'll subtract 1 from the hundreds, and add this amount to the tens

00:40 Meaning now instead of 6 we'll have 16

00:44 We'll subtract the tens from the tens plus ten

00:49 We'll place in the tens place

00:54 Subtract hundreds from hundreds, and place in hundreds

00:57 And this is the solution to the question

Step-by-Step Solution

To solve the problem of subtracting 289 from 478, we perform the following steps:

Setup: Write the numbers in column form, aligning by place value:
$\begin{aligned} & 478 \\ - & 289 \\ \end{aligned}$
Subtract Ones: Start from the rightmost column (ones place):
$8 - 9$ . Since 8 is smaller than 9, borrow 1 from the tens place (7), making it 6 and converting the 8 to 18.
Now, perform $18 - 9 = 9$ .
Subtract Tens: Move to the tens column, now having $6$ from borrowing from the previous step:
$6 - 8$ . Again, since 6 is less than 8, borrow 1 from the hundreds place (4), making it 3 and converting the 6 to 16.
Now, perform $16 - 8 = 8$ .
Subtract Hundreds: Finally, subtract the hundreds column:
$3 - 2 = 1$ .
Assemble the result: The completed subtraction gives us $189$ .

Therefore, the solution to the problem is $189$ , which corresponds to choice 2.