Solve Vertical Subtraction: 53 minus 36

Question

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

Video Solution

Solution Steps

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 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:

amp;53amp;36 \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:

5amp;4  13   amp;3    6123amp;12345 \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:

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

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

Answer

17