Solve: Finding the Difference Between 514941 and 221871

514941221871776 \begin{aligned} &514941 \\ -& \\ &221871 \\ &\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 consider borrowing 2 digits, and then we'll place
00:06 Borrow ones from ones, and place in ones
00:09 4 is less than 7
00:12 In this case, we borrow one hundred from the hundreds place, for the tens
00:15 Which will change the hundreds from 9 to 8
00:17 And now we'll have 14 instead of 4, in the tens!
00:20 Borrow tens from tens, and place in tens
00:26 Borrow hundreds from hundreds, and place in hundreds
00:33 Borrow thousands from thousands, and place in thousands
00:37 1 is less than 2
00:40 Therefore we borrow from the hundred thousands digit, for the ten thousands
00:45 Which will change the hundred thousands from 5 to 4
00:48 And now we'll have 11 instead of 1, in the ten thousands!
00:51 Borrow ten thousands from ten thousands, and place
00:55 Borrow hundred thousands from hundred thousands, and place
00:59 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

514941221871776 \begin{aligned} &514941 \\ -& \\ &221871 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, follow these steps:

  • Step 1: Write down the numbers in vertically aligned format, placing the bigger number (514941) on top and the smaller number (221871) underneath it, ensuring digits are aligned according to their place value.

  • Step 2: Begin with the rightmost digits. Subtract the units place: 11=01 - 1 = 0.

  • Step 3: Move to the tens place. Subtract: 474 - 7. Since 4 is less than 7, we need to borrow 1 from the next left column (hundreds place). The 9 becomes 8, and the 4 becomes 14. Now, subtract: 147=714 - 7 = 7.

  • Step 4: Hundreds place. Subtract 88=08 - 8 = 0.

  • Step 5: Thousands place. Subtract 41=34 - 1 = 3.

  • Step 6: Ten-thousands place. Subtract 121 - 2. Borrow 1 from the hundred-thousands place, which makes 5 become 4. Now, 112=911 - 2 = 9.

  • Step 7: Hundred-thousands place. Subtract 42=24 - 2 = 2.

Upon performing these steps, the calculated difference of the two numbers is:

The answer is 293070\boldsymbol{293070}.

Therefore, the solution to the subtraction is 293070 293070 , which matches choice 4.

3

Final Answer

293070

Practice Quiz

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

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