Question

type the correct answer in the box. use numbers instead of words. a problem is shown. \\(\

$$\begin{array}{r} 8,325 \\\\ -\\ 2,164 \\\\ \\hline \\end{array}$$

\\) what is the solution to the problem?

Explanation:

Step1: Subtract the ones place

$5 - 4 = 1$

Step2: Subtract the tens place

$2 - 6$ is not possible, so borrow 1 from the hundreds place. The tens place becomes $12$, and the hundreds place becomes $3 - 1 = 2$. Then $12 - 6 = 6$

Step3: Subtract the hundreds place

$3 - 1 = 2$ (after borrowing in step 2, the hundreds place was $3$, then became $2$? Wait, original number is 8325, so thousands: 8, hundreds: 3, tens: 2, ones: 5. Subtracting 2164: thousands: 2, hundreds: 1, tens: 6, ones: 4. Wait, let's do it properly:

8 3 2 5

• 2 1 6 4

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Start from rightmost digit (ones place): 5 - 4 = 1

Tens place: 2 - 6. Can't do, so borrow 1 from hundreds place. Hundreds place: 3 becomes 2, tens place: 2 becomes 12. 12 - 6 = 6

Hundreds place: 3 (now 2 after borrowing) - 1 = 1? Wait no, original hundreds digit is 3, we borrowed 1 for tens place, so 3 - 1 = 2. Then subtract the hundreds digit of the subtrahend (1): 2 - 1 = 1

Thousands place: 8 - 2 = 6

Wait, let's add up:

Thousands: 6, hundreds: 1, tens: 6, ones: 1. Wait, no, let's do the subtraction:

8325 - 2164:

8325 - 2000 = 6325

6325 - 100 = 6225

6225 - 60 = 6165

6165 - 4 = 6161

Wait, that's correct. Let's check: 2164 + 6161 = 8325. Yes, because 2164 + 6000 = 8164, 8164 + 161 = 8325. So the result is 6161.

Wait, maybe my step - by - step was wrong earlier. Let's do digit by digit:

Ones: 5 - 4 = 1

Tens: 2 - 6. Borrow 1 from hundreds: 3 becomes 2, tens becomes 12. 12 - 6 = 6

Hundreds: 3 (now 2) - 1 = 1? Wait no, 3 (hundreds place) - 1 (hundreds digit of subtrahend) after borrowing? Wait, no, the subtrahend's hundreds digit is 1. So after borrowing for tens place, the minuend's hundreds digit is 3 - 1 = 2. Then 2 - 1 = 1

Thousands: 8 - 2 = 6

So putting it together: 6 (thousands), 1 (hundreds), 6 (tens), 1 (ones) → 6161

Step1: Ones place subtraction

$5 - 4 = 1$

Step2: Tens place subtraction (borrow)

$2 - 6$: borrow 1 from hundreds (3→2), tens becomes 12. $12 - 6 = 6$

Step3: Hundreds place subtraction

$3 - 1$ (after borrow, 3→2) → $2 - 1 = 1$

Step4: Thousands place subtraction

$8 - 2 = 6$

Step5: Combine results

Thousands: 6, Hundreds: 1, Tens: 6, Ones: 1 → 6161

Answer:

6161