Subtract 654 from 1568: Column Subtraction Practice

Question

amp;1568amp;amp;  654amp;776amp; \begin{aligned} &1568 \\ -& \\ &~~654 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time subtract 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:11 Subtract tens from tens, and place in tens
00:15 5 is less than 6
00:20 Therefore we subtract 1 from thousands, and add this amount to hundreds
00:26 Meaning now instead of 5 we will have 15
00:30 Subtract the hundreds from hundreds plus the hundred
00:36 Place in hundreds
00:40 Place 0 in the missing digits
00:41 Subtract thousands from thousands, and place in thousands
00:45 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, writing the minuend (1568) above the subtrahend (654) with digits lined up according to their place value.

  • Step 2: Start subtracting from the rightmost digits (units place):

1. Subtract the units column:
- 8 is greater than 4; we can subtract 4 from 8 directly to get 4.

2. Subtract the tens column:
- 6 from 5: We cannot subtract 6 from 5 directly, so we need to borrow. Borrow 1 from the hundreds column, making it 4 and the tens column 15.
- Subtract: 15 - 6 = 9.

3. Subtract the hundreds column:
- The new value after borrowing is 4 (since we borrowed 1 for the tens column). Now, subtract 6 from 4. Again, we cannot directly subtract 6 from 4, so borrow 1 from the thousands place. This makes the hundreds column 14.
- Subtract: 14 - 6 = 8.

4. Subtract the thousands column:
- After borrowing, the thousands column is reduced to 0 from 1, so we write this as it remains unaltered.

  • Step 3: Write the results in each column:

The final difference is determined by the numbers calculated: 914 914 .

Therefore, the solution to the problem is 914 914 .

Answer

914