Solve Vertical Subtraction: 577 minus 18 Step-by-Step

Question

amp;577amp;amp;  18amp;776amp; \begin{aligned} &577 \\ -& \\ &~~18 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:04 Let's solve this problem step by step.
00:08 First, we'll subtract two-digit numbers one by one.
00:12 Since 7 is less than 8, we have to adjust.
00:16 Let's borrow 1 from the tens place and add it to the ones.
00:21 Now, we have 17 instead of 7 in the ones place.
00:25 Subtract the smaller ones from the larger ones,
00:29 and place the result in the ones column.
00:33 Next, subtract tens from tens,
00:36 and put the result in the tens column.
00:40 Don't forget to fill in any missing digits with zero.
00:44 Finally, subtract hundreds from hundreds and record it.
00:48 And that's how we solve this subtraction problem!

Step-by-Step Solution

To solve this problem, we'll use vertical subtraction, often referred to as column subtraction. The given problem is:

amp;577amp;amp;  18776amp; \begin{aligned} &577 \\ -& \\ &~~18 \\ \underline{\phantom{776}} & \\ \end{aligned}

We'll perform the subtraction step by step:

  • Step 1: Subtract the rightmost column (units):
    - From 7, subtract 8. Since 8 is larger than 7, borrow 1 from the tens column of 577.
    - Borrowing makes the 7 into 17 in the units column and the 7 in the tens column into 6.

  • Step 2: Subtract in the tens column:
    - From the borrowed 6 in the tens column, subtract 1, giving us 5.

  • Step 3: Subtract the hundreds column:
    - There is no borrowing needed here. Simply bring down the 5 as there is no corresponding number to subtract from the subtrahend, yielding 5.

Hence, the calculation becomes:

amp;5amp;76amp;amp;17amp;amp;1amp;amp;82342 \begin{aligned} &5 &\cancel{7}6 &&17 \\ - \\ &&1 &&8 \\ \overline{\phantom{2342}} \\ \end{aligned}

Therefore, the solution to the subtraction problem is 559 559 .

Answer

559