Solve Vertical Subtraction: 132 minus 35 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:06 2 is less than 5

00:11 Therefore we subtract 1 from the tens and add this amount to the ones

00:21 So now instead of 2 we'll have 12

00:27 We subtract the ones from the ones plus ten

00:32 We place in the ones

00:38 2 is less than 3

00:46 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:51 So now instead of 2 we'll have 12

00:58 We subtract the tens from the tens plus ten

01:01 We place in the tens

01:04 We place 0 in the missing digits

01:07 Subtract hundreds from hundreds, and place in hundreds

01:10 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Align the numbers by their place values. The number 132 is written above 35, ensuring the units, tens, and hundreds columns are properly placed.
Step 2: Start from the rightmost column, which is the units column:

Subtract the units digit: $2 - 5$ requires borrowing since 2 is smaller than 5. Borrowing from the tens column converts 2 into 12.
After borrowing, subtract: $12 - 5 = 7$ .

After borrowing one "ten" to the units place, the tens column in the minuend is now $2 - 1 = 1$ (since the tens digit went from 3 to 2 after borrowing).
Subtract: $2 - 3 = -1$ , recognizing the necessity to borrow from the hundreds.
Borrow 1 hundred, adding it to the tens to make: $12 - 3 = 9$ .

With borrowing adjustment: $0 - 0$ remains unchanged because we lent one hundred to the tens place.
This happens because we effectively do $1 - 1 = 0$ after resolving borrowing in tens and units.

Therefore, after performing all borrowing and subtractions,

The solution to $132 - 35$ is $97$ .