Solve the Subtraction Problem: 5763 minus 178

Video Solution

Solution Steps

00:00 Solve

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

00:07 3 is less than 8

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

00:15 So now instead of 3 we'll have 13

00:20 We'll subtract the ones from the ones plus ten

00:25 We'll place in the ones

00:30 5 is less than 7

00:39 Therefore we'll subtract 1 from the hundreds and add this amount to the tens

00:43 So now instead of 5 we'll have 15

00:47 We'll subtract the tens from the tens plus ten

00:50 We'll place in the tens

00:54 We'll subtract hundreds from hundreds, and place in hundreds

00:57 We'll place 0 in the missing digits

01:00 We'll subtract thousands from thousands, and place in thousands

01:03 And this is the solution to the question

Step-by-Step Solution

We aim to solve $5763$ minus $178$ using vertical subtraction.

First, align the numbers by their place value:
$\begin{array}{c} \phantom{1}5763 \\ -~~178 \\ \hline \end{array}$

Step 1: Start from the rightmost digit (units place).
Units: $3 - 8$ : Since $3$ is less than $8$ , we need to borrow.

Borrow from the tens place:
The $6$ in the tens becomes $5$ (after borrowing 1), making the units place $13$ .

So, $13 - 8 = 5$ .

Step 2: Move to the tens place now.
Tens: $5 - 7$ : Borrow again because $5$ is less than $7$ .

Borrow from the hundreds place:
The $7$ in the hundreds becomes $6$ , turning the tens into $15$ .

So, $15 - 7 = 8$ .

Step 3: Now the hundreds place.
Hundreds: $6 - 1 = 5$ (Simple subtraction, no borrowing needed).

Step 4: Finally, the thousands place, which is direct.
Thousands: $5 - 0 = 5$ .

Thus, after all stages of subtraction, the result is:
$\begin{array}{c} \phantom{1}5763 \\ -~~178 \\ \hline ~~~ 5585 \\ \end{array}$

Therefore, the solution to the subtraction problem is $5585$ .