Subtract 5 from 473: Vertical Format Arithmetic Problem

Question

amp;473amp;amp;    5amp;776amp; \begin{aligned} &473 \\ -& \\ &~~~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 3 is less than 5
00:09 So we'll subtract 1 from the tens and add this amount to the ones
00:15 In other words, instead of 3 we'll now have 13
00:18 We'll subtract the ones from the ones plus the carried ten
00:23 Place in ones
00:26 Place 0 in the missing digits
00:31 Subtract tens from tens, and place in tens
00:35 Subtract hundreds from hundreds, and place in hundreds
00:38 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform a vertical subtraction:

  • Step 1: Set up the subtraction vertically
    Write the larger number, 473, above and align the smaller number, 5, beneath it on the far right:

473   5776 \begin{aligned} &473 \\ -& \\ &~~~5 \\ \underline{\phantom{776}} & \\ \end{aligned}

  • Step 2: Subtract each column, starting from the right
    - Units: We have 3 minus 5. Since 3 is smaller than 5, we need to regroup by borrowing. Take 1 ten from the tens place.
    - After borrowing, the tens digit decreases by 1 (from 7 to 6), and the units place becomes 13 (3 + 10 = 13).
    - Now, subtract 5 from 13, which equals 8.
  • Step 3: Move to the tens column
    - After borrowing, subtract 0 from 6, which leaves 6.
  • Step 4: Move to the hundreds column
    - Finally, subtract 0 from 4, which leaves 4.

The result of the subtraction is:

473   5     468 \begin{aligned} & 473 \\ -& \\ &~~~5 \\ \underline{~~~~~} & \\ & 468 \\ \end{aligned}

Therefore, the solution to the problem is 468 468 .

Answer

468