Solve Vertical Subtraction: 3167 minus 2245

31672245776 \begin{aligned} &3167 \\ -& \\ &2245 \\ &\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 Subtract ones from ones, and place in ones
00:09 Subtract tens from tens, and place in tens
00:13 1 is less than 2
00:19 Therefore we'll borrow 1 from thousands, and add this amount to hundreds
00:24 This means now instead of 1 we'll have 11
00:28 Subtract the hundreds from hundreds plus the hundred
00:32 Place in hundreds
00:36 Subtract thousands from thousands, and place in thousands
00:39 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

31672245776 \begin{aligned} &3167 \\ -& \\ &2245 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the problem of subtracting 22452245 from 31673167, we'll perform vertical subtraction using step-by-step borrowing:

Let's set up the subtraction:

  • Write the numbers vertically aligning them by place value:

31672245 \begin{array}{c} & 3 & 1 & 6 & 7 \\ - & 2 & 2 & 4 & 5 \\ \hline \\ \end{array}

We start subtracting from the rightmost column (units):

  • Units: 75=27 - 5 = 2

  • Tens: We need to subtract 44 from 66: 64=26 - 4 = 2

  • Hundreds: 1<21 < 2, so borrow 11 from the thousands place:

    • The number becomes 22 in thousands place and hundreds place becomes 1111.

    • Subtract 22 from 1111: 112=911 - 2 = 9.

  • Thousands: 22=02 - 2 = 0

The calculation results in:

922 \begin{array}{c} & & & & 9 & 2 & 2 \\ \hline \end{array}

Thus, the final result of the subtraction is 922922.

Therefore, the solution to the problem is 922 922 .

3

Final Answer

922

Practice Quiz

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

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