Question

find the difference.
21,807 - 10,739

Explanation:

Step1: Align the numbers by place value

Write the numbers vertically, aligning the decimal points (note that 21,807 can be written as 21,807.000 to match the decimal places of 10,739.000 for clarity, but since 21,807 is a whole number, we can also just align the digits):

$$\begin{align*} 21807.000\\ -10739.000\\ \hline \end{align*}$$

Step2: Subtract digit by digit from right to left

• Subtract the ones place: \(7 - 9\) is not possible, so we borrow from the tens place. The tens place is 0, so we need to borrow from the hundreds place. The hundreds place is 8, so we borrow 1 from 8 (making it 7), which makes the tens place 10. Then we borrow 1 from the tens place (making it 9) to make the ones place 17. Now, \(17 - 9 = 8\).
• Subtract the tens place: \(9 - 3 = 6\) (since we borrowed 1 earlier, the tens place is now 9).
• Subtract the hundreds place: \(7 - 7 = 0\) (since we borrowed 1 earlier, the hundreds place is now 7).
• Subtract the thousands place: \(1 - 0 = 1\) (wait, no, the original number is 21,807, so the thousands digit is 1 (21,807 is 2 ten - thousands, 1 thousand, 8 hundreds, 0 tens, 7 ones) and 10,739 is 1 ten - thousand, 0 thousands, 7 hundreds, 3 tens, 9 ones? Wait, no, 21,807 is 21 thousand 807, and 10,739 is 10 thousand 739. So when subtracting:
• Ten - thousands place: 2 - 1 = 1
• Thousands place: 1 - 0 = 1 (wait, no, 21,807 is 2 (ten - thousands), 1 (thousands), 8 (hundreds), 0 (tens), 7 (ones). 10,739 is 1 (ten - thousands), 0 (thousands), 7 (hundreds), 3 (tens), 9 (ones). So let's do it correctly:
• Ones: \(7 - 9\), borrow from tens (0), so borrow from hundreds (8), make tens 10, then borrow from tens (make it 9) to make ones 17. \(17 - 9 = 8\)
• Tens: \(9 - 3 = 6\)
• Hundreds: \(7 - 7 = 0\) (since we borrowed 1 from 8, making it 7)
• Thousands: \(1 - 0 = 1\) (21,807 has 1 in thousands place, 10,739 has 0 in thousands place)
• Ten - thousands: \(2 - 1 = 1\)

So putting it all together:

$$\begin{align*} 21807\\ -10739\\ \hline 11068\\ \end{align*}$$

Answer:

11068