Subtract 937 from 5004: Step-by-Step Solution Guide

We need to subtract 937 from 5004 using vertical subtraction. Let’s break this down step-by-step, especially focusing on borrowing across zeros:

Step 1: Set up the numbers for subtraction.
Write 5004 above 937, aligning them to the right so the units, tens, hundreds, and thousands digits line up:

$\begin{array}{c} & 5 & 0 & 0 & 4 \\ - & & 9 & 3 & 7 \\ \hline & & & & \\ \end{array}$

Step 2: Start subtracting from the rightmost digits.
Begin with the units column:

• Units column: Subtract 7 from 4. Since 4 is less than 7, we need to borrow.
• Borrow 1 from the tens column. However, tens column has a 0, so we must go left of these zeros:
• Hundreds column has 0, so borrow 1 from the hundreds column to make it 10, then the hundreds are reduced to 9. The tens will become 10 (and then get reduced to 9 when passing), and when borrowing:
• Units column: Now, 14 – 7 = 7.

Our subtraction may look as follows:

$\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & & & 7 \\ \end{array}$

Step 3: Move to the tens column.
Subtract 3 from 9. Result is 6.

$\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & & 6 & 7 \\ \end{array}$

Step 4: Move to the hundreds column.
Subtract 9 from 9. Result is 0.

$\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & 0 & 6 & 7 \\ \end{array}$

Step 5: Move to the thousands column.
Here we have 4, and there’s no number to subtract, so we carry down 4.

$\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & 4 & 0 & 6 & 7 \\ \end{array}$

Therefore, the solution to the subtraction problem is $4067$.