Subtract 659 from 3008: Column Method Practice Problem

Question

amp;3008amp;amp;  659amp;776amp; \begin{aligned} &3008 \\ -& \\ &~~659 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time it's considered a borrowing of 2 digits, and then we'll place
00:06 8 is less than 9
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 So 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 So 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 So now instead of 8 we'll have 18, in ones!
00:42 Now we'll subtract ones from ones, and place in ones
00:47 Subtract tens from tens, and place in tens
00:53 Subtract hundreds from hundreds, and place in hundreds
00:57 Place 0 in the borrowed digits
01:01 Subtract thousands from thousands, and place in thousands
01:04 And that's the solution to the problem

Step-by-Step Solution

To solve this problem, we will subtract 659 from 3008 using borrowing in the subtraction process:

  1. Line up the numbers with the larger number on top: 23008659 \begin{array}{c} \phantom{2}3008 \\ -659 \\ \end{array}

  2. Begin subtraction from the rightmost column (units place), where we have 898 - 9. Since 88 is smaller than 99, we need to borrow.

  3. Move to the tens place, which is also 00. Since we cannot borrow from a 00, move left to the hundreds place.

  4. The hundreds place is also 00, so continue to the thousands column, where we have 33:

  5. Decrease the 33 to 22 and make the hundreds column 1010. Now borrow from the hundreds column, turning it into 99 and the tens column into 1010.

  6. Finally, borrow 11 from the tens column to assist the units column: 2939   659 \begin{array}{c} {2939} \\ -~~~659 \\ \end{array} We can now do 189=918 - 9 = 9.

  7. Proceed to the tens column. 95=49 - 5 = 4.

  8. The hundreds column: 96=39 - 6 = 3.

  9. The thousands column: 20=22 - 0 = 2.

Writing down the final subtraction gives us:

29393008       65929392349 \begin{array}{c} \phantom{2939}3008 \\ -~~~~~~~659 \\ \overline{\phantom{2939}2349} \\ \end{array}

Therefore, the solution to the problem is 2349.

Answer

2349