Solve Multi-digit Subtraction: 6002 minus 373

Question

amp;6002amp;amp;  373amp;776amp; \begin{aligned} &6002 \\ -& \\ &~~373 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we subtract 2 digits, and then we place
00:06 2 is less than 3
00:09 The tens digit is also equal to 0 so we can't borrow from it
00:12 The hundreds digit is also equal to 0 so we can't 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 the hundreds!
00:22 And now we'll borrow ten from the hundreds for the tens
00:25 Which will turn the hundreds from 10 to 9
00:29 So now instead of 0, we'll have 10 in the tens!
00:32 And now we'll borrow ten from the tens for the ones
00:35 Which will turn the tens from 10 to 9
00:39 So now instead of 0, we'll have 10 in the ones!
00:45 Now we subtract ones from ones, and place in ones
00:49 Subtract tens from tens, and place in tens
00:52 Subtract hundreds from hundreds, and place in hundreds
00:55 Place 0 in the missing digits
00:59 Subtract thousands from thousands, and place in thousands
01:04 And this is the solution to the problem

Step-by-Step Solution

Let's solve 6002373 6002 - 373 using the vertical subtraction method:

  • Step 1: Write the numbers in column form, ensuring they are aligned by place value: 6002  373 \begin{array}{c} 6002 \\ -~~373 \\ \hline \end{array}

  • Step 2: Subtract each digit starting from the right (units place). First, inspect the units place:

    • We need to subtract 3 from 2. Since 3 > 2, we must borrow.

    • Borrow 1 from 600 (next higher order, thousands in this case):

      • The result: Change 6002 to 5992.

    • Now, subtract 123=9 12 - 3 = 9 , in the units place.

    5992  373         9 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline ~~~~~~9 \\ \end{array}

  • Step 3: Move to the tens place:

    • Subtract 97=2 9 - 7 = 2 .

    5992  373      29 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline ~~~29 \\ \end{array}

  • Step 4: Move to the hundreds place:

    • Subtract 93=6 9 - 3 = 6 .

    5992  373     629 \begin{array}{c} 5992 \\ -~~373~~~~ \\ \hline ~629 \\ \end{array}

  • Step 5: Move to the thousands place:

    • We have 5 remaining and no subtraction needed here.

    • Therefore, the result is 5629 5629 .

    5992  373   5629 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline 5629 \\ \end{array}

Therefore, the solution to 6002373 6002 - 373 is 5629 5629 .

Answer

5629