Solve 507 minus 69: Vertical Subtraction Problem

Question

amp;507amp;amp;  69amp;776amp; \begin{aligned} &507 \\ -& \\ &~~69 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time subtract 2 digits, and then place
00:06 7 is less than 9
00:09 The tens digit is also equal to 0 so we can't borrow from it
00:13 We'll borrow a hundred from the hundreds for the tens
00:17 So now instead of 0 we'll have 10, in the tens!
00:20 And now we'll borrow ten from the tens for the ones
00:23 Which will turn the tens from 10 to 9
00:26 So now instead of 7 we'll have 17, in the ones!
00:31 Now subtract ones from ones, and place in ones
00:35 Subtract tens from tens, and place in tens
00:40 Place 0 in the missing digits
00:44 Subtract hundreds from hundreds, and place in hundreds
00:47 And that's the solution to the problem

Step-by-Step Solution

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

  • Step 1: Align the two numbers for vertical subtraction
  • Step 2: Subtract digit by digit, starting from the right
  • Step 3: Borrow when necessary, particularly across zeros

Now, let's work through each step:
Step 1: Write the numbers vertically, aligning by place values:
50769 \begin{array}{c} 507 \\ - 69 \\ \hline \end{array}

Step 2: Start subtracting from the units (right-most) digit:
Units column: 7 (from 507) minus 9 (from 69). Since 7 is smaller than 9, borrow 1 from the tens column.

Step 3: Borrowing across zeros:
Borrowing from the tens column requires rolling up to the hundreds column because there is a 0 in the tens place. Change 5 in the hundreds place to 4, making the tens place 10. Now the tens column has 9 after lending 1 to the units column, making it 17.
Subtract 9 from 17 in the units place to get 8.

Step 4: Subtract the tens column:
9 (from borrowing adjustment) minus 6 (from 69) is 3.

Step 5: Subtract the hundreds column:
4 (from borrowing adjustment) minus 0 (from 69) is 4.

Therefore, the subtraction result is:
438 \begin{array}{c} 438 \\ \end{array}

Thus, the solution to the problem is 438 438 .

Answer

438