Solve Vertical Subtraction: 53 minus 36

5336776 \begin{aligned} &53 \\ -& \\ &36\\ &\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 a shortage of 2 digits, and then we put
00:06 3 is less than 6
00:09 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 Meaning now instead of 3 we'll have 13
00:20 We subtract the ones from the ones plus the ten
00:23 We put in the ones
00:27 We subtract tens from tens, and put in the tens
00:30 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5336776 \begin{aligned} &53 \\ -& \\ &36\\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers by their place values, so the digits in the same position are directly on top of each other.

  • Step 2: Subtract the digits in the ones place and perform borrowing if necessary.

  • Step 3: Subtract the digits in the tens place after performing any borrowing from the previous step.

Now, let's work through each step:

Step 1: Align the numbers vertically:

5336 \begin{aligned} & 53 \\ - & 36 \\ \end{aligned}

Step 2: Starting with the ones place, we see that 3 (in the minuend) is less than 6 (in the subtrahend). So we need to borrow.

  • Borrow 1 from the tens place of 53, giving the tens place a value of 4. The borrowed number converts the ones place's 3 into 13.

Now subtract: 136=713 - 6 = 7.

The new arrangement looks like this:

54  13   3    612312345 \begin{aligned} \cancel{5}&4 ~~13 \\ -~~~&3~~~~6 \\ \overline{\phantom{123}}& \overline{\phantom{12345}} \\ \end{aligned}

Step 3: Move to the tens place. After borrowing, the new value is 4.

Subtract: 43=14 - 3 = 1.

Thus, the final result is:

533617 \begin{aligned} & 53 \\ - & 36 \\ & \underline{17} \\ \end{aligned}

Therefore, the result of the subtraction 533653 - 36 is 17\boxed{17}.

3

Final Answer

17

Practice Quiz

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

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