Solve: 768 minus 74 - Three-Digit Subtraction Problem

768  74776 \begin{aligned} &768 \\ -& \\ &~~74 \\ &\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 consider borrowing 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:09 6 is less than 7
00:13 Therefore we subtract 1 from hundreds, and add this amount to tens
00:17 Meaning now instead of 6 we will have 16
00:20 Subtract tens from tens plus the ten
00:24 Place in tens
00:27 Place 0 in the missing digits
00:30 Subtract hundreds from hundreds, and place in hundreds
00:33 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

768  74776 \begin{aligned} &768 \\ -& \\ &~~74 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem of 76874768 - 74, we'll use vertical subtraction with borrowing:

Let's lay out the subtraction:

7 6 80 7 4 \begin{array}{c} &7\ 6\ 8 \\ - & \phantom0\ 7\ 4 \\ \hline \end{array}

Follow these steps:

  • Step 1: Start with the ones column. Subtract 4 from 8. Since 8 is larger, we simply do 84=48 - 4 = 4.

  • Step 2: Move to the tens column. Subtract 7 from 6. Here, 6 is smaller than 7, so we need to borrow from the hundreds column.
    - Cross out the "7" in hundreds place and reduce it by 1 to make it "6".
    - Change 6 in the tens place to 16.
    - Now, perform the subtraction: 167=916 - 7 = 9.

  • Step 3: Move to the hundreds column. Subtract 0 from 7 (after reduction): 70=67 - 0 = 6.

Thus, the result of the subtraction is:

6 9 4 \begin{array}{c} 6\ 9\ 4 \\ \end{array}

Therefore, the answer to the subtraction problem is 694694.

3

Final Answer

694

Practice Quiz

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\( \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)\( \)

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