Solve Vertical Subtraction: 481 minus 83 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 1 is less than 3

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

00:15 In other words, now instead of 1 we'll have 11

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

00:22 We'll place in the ones

00:28 7 is less than 8

00:31 Therefore we'll subtract 1 from the hundreds, and add this amount to the tens

00:36 In other words, now instead of 7 we'll have 17

00:42 We'll subtract the tens from the tens plus ten

00:46 We'll place in the tens

00:49 We'll place 0 in the missing digits

00:52 Subtract hundreds from hundreds, and place in hundreds

00:55 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll perform vertical subtraction with regrouping of the numbers 481 and 83.

Follow these steps:

$\begin{array}{c} 481 \\ - ~~83~~~ \\ \underline{\phantom{77633}} \end{array}$

Step 2: Begin with the units column (rightmost column). The digit in the minuend (1) is less than the digit in the subtrahend (3). Therefore, we need to regroup.
- Regrouping involves borrowing 1 from the tens column of the minuend, changing 8 in 481 to 7 and increasing the units digit by 10, changing 1 to 11.
Step 3: Subtract the units column: $11 - 3 = 8$ .
Step 4: Move to the tens column. Since we borrowed 1, the tens digit in 481 is now 7. Subtract 8 from 7, borrowing again from the hundreds digit:
- Regroup by borrowing 1 from the hundreds column, changing 4 to 3 and increasing the tens digit by 10, changing 7 to 17.
Step 5: Subtract the tens column: $17 - 8 = 9$ .
Step 6: The hundreds column remains to be calculated: $3 - 0 = 3$ (since there’s nothing to subtract except the result of our previous borrow).

This process results in:

$\begin{array}{c} 481 \\ - ~~83~~~ \\ \underline{\phantom{776444}} \\ 398 \end{array}$

Therefore, the solution to this problem is $398$ , which corresponds to choice four.