Solve Vertical Subtraction: 505 minus 367 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:06 5 is less than 7

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

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

00:16 So now instead of 0 we'll have 10, in the tens!

00:22 And now we'll borrow ten from the tens for the ones

00:25 Which will turn the tens from 10 to 9

00:29 So now instead of 5 we'll have 15, in the ones!

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

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

00:42 Subtract hundreds from hundreds, and place in hundreds

00:46 And this is the solution to the problem

Step-by-Step Solution

To solve this problem of subtracting $367$ from $505$ , we'll follow these steps:

Step 1: Start at the ones place. Subtract $7$ from $5$ . Since $5$ is smaller than $7$ , we need to borrow from the tens place.
Step 2: Move to the tens place, before borrowing. There is $0$ in the tens place, so we cannot borrow directly. We must borrow from the hundreds place.
Step 3: Borrow $1$ from the hundreds place, reducing it to $4$ . The tens place becomes $10$ .
Step 4: Now borrow $1$ from the $10$ in the tens place, making it $9$ . The $5$ in the ones place becomes $15$ .
Step 5: Now subtract $7$ from $15$ , which gives us $8$ .
Step 6: In the tens place, subtract $6$ from $9$ , resulting in $3$ .
Step 7: In the hundreds place, subtract $3$ from $4$ , resulting in $1$ .

Putting it all together, we have:

$505 - 367 = 138$

Therefore, the solution to the problem is $\textbf{138}$ , which corresponds to choice 2.