Subtract 951 from 1000: Vertical Subtraction Practice

Question

amp;1000amp;amp;  951amp;776amp; \begin{aligned} &1000 \\ -& \\ &~~951 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we count a shortage of 2 digits, and then we'll place
00:06 0 is less than 1
00:09 The tens digit is also equal to 0 so we cannot borrow from it
00:12 The hundreds digit is also equal to 0 so we cannot borrow from it
00:15 We'll borrow a thousand from the thousands for the hundreds
00:19 This means now instead of 0 we'll have 10, in hundreds!
00:22 And now we'll borrow ten from the hundreds for the tens
00:25 Which will change the hundreds from 10 to 9
00:29 This means now instead of 0 we'll have 10, in tens!
00:32 And now we'll borrow ten from the tens for the ones
00:35 Which will change the tens from 10 to 9
00:39 This means now instead of 0 we'll have 10, in ones!
00:42 Now we'll subtract ones from ones, and place in ones
00:45 Subtract tens from tens, and place in tens
00:49 Subtract hundreds from hundreds, and place in hundreds
00:53 Place 0 in the missing digits
00:56 Subtract thousands from thousands, and place in thousands
00:59 And that's the solution to the problem

Step-by-Step Solution

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

  • Step 1: Set up the vertical subtraction with 1000 above 951.
  • Step 2: Start subtracting from the rightmost digit.
  • Step 3: Borrow as needed across zeros.
  • Step 4: Perform the subtraction of each digit, ensuring proper arithmetic adjustment from borrowing.

Now, let's work through each step:
Step 1: We write 1000 1000 and 951 951 in vertical alignment for subtraction.
Step 2: Begin from the units column: We need to subtract 1 1 from 0 0 , so borrowing is required.
Step 3: As there are zeros in both the units and the tens place, we must borrow from the hundreds place and subsequently from the thousands place.
Step 4: Change 1000 1000 as follows for borrowing: The thousands digit gives 1 to the hundreds, transforming so it looks like 10 10 at hundreds, zero at the thousands, from which the hundreds gives 1 to the tens, and similarly tens gives 1 to the units.
The number 1000 1000 effectively becomes 0990 0990 temporarily while processing subtraction:
- Now units column: 101=9 10 - 1 = 9 .
- In the tens column: 95=4 9 - 5 = 4 .
- In the hundreds column: 99=0 9 - 9 = 0 .
- Thousands column: 00=0 0 - 0 = 0 .

Therefore, the solution to the subtraction problem of 1000951 1000 - 951 is 49 49 .

Answer

49