Subtract 54,636 from 80,004: Vertical Format Solution

8000454636776 \begin{aligned} &80004 \\ -& \\ &54636 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time we subtract 2 digits, and then we place
00:06 4 is less than 6
00:09 We want to borrow from the larger digits
00:12 Both tens and hundreds equal 0 so we'll borrow from the thousands
00:15 What will change the ten thousands from 8 to 7
00:20 And now we'll have 10 instead of 0, in thousands!
00:23 And we'll borrow from thousands to hundreds
00:26 We'll continue with the same method until we reach the ones
00:42 We'll borrow from tens to ones, and we'll have 14 instead of 4 in ones!
00:51 Subtract ones from ones, and place in ones
00:56 Subtract tens from tens, and place in tens
00:59 Subtract hundreds from hundreds, and place in hundreds
01:06 Subtract thousands from thousands, and place in thousands
01:11 Subtract ten thousands from ten thousands, and place
01:15 And that's the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8000454636776 \begin{aligned} &80004 \\ -& \\ &54636 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we will perform vertical subtraction, paying close attention to borrowing across zeros:

Step-by-step solution:

  • Write the numbers such that they align vertically, with the larger number on top and the smaller number directly below each corresponding digit:

800045463677600 \begin{aligned} &80004 \\ -&54636 \\ &\overline{\phantom{77600}} & \\ \end{aligned}

  • Start subtracting from the rightmost digit:

  • 1. Units place: 464 - 6. Since 4 is less than 6, borrow 1 from the tens place (next digit).
    2. Tens place: Now, treat it as 10310 - 3, but since you borrowed 1 for the units place, it becomes 93=69 - 3 = 6.
    3. Hundreds place: Borrow from the thousands place since you need a digit to make 060 - 6. It becomes 106=410 - 6 = 4.
    4. Thousands place: Now subtract from what remains after borrowing from it, 949 - 4, which equals 5.
    5. Ten-thousands place: Since you borrowed to the right, 75=27 - 5 = 2 in this position.

  • The subtraction yields the result as follows:

956014054636025368 \begin{aligned} &9560 14 \\ -&\phantom{0}54636 \\ &\phantom{0}\underline{25368} & \\ \end{aligned}

Therefore, the solution to the subtraction problem is 25368\mathbf{25368}.

3

Final Answer

25368

Practice Quiz

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\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

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