3583 + 7862 - 3216 = ?

Options

A. 8292
B. 8229
C. 9228
D. 8290

Answer

To solve the expression \( 3583 + 7862 - 3216 \), we will follow these steps:

### Step 1: Add the first two numbers
We start with the addition of \( 3583 \) and \( 7862 \).

\[ \begin{array}{cccc} & 3 & 5 & 8 & 3 \\ + & 7 & 8 & 6 & 2 \\ \hline \end{array} \]

- Start from the rightmost column:
- \( 3 + 2 = 5 \)

- Move to the next column:
- \( 8 + 6 = 14 \) (write down 4 and carry over 1)

- Next column:
- \( 5 + 8 + 1 = 14 \) (write down 4 and carry over 1)

- Finally:
- \( 3 + 7 + 1 = 11 \)

So, the sum of \( 3583 + 7862 \) is \( 11445 \).

### Step 2: Subtract the third number
Next, we subtract \( 3216 \) from \( 11445 \).

\[ \begin{array}{cccc} & 1 & 1 & 4 & 4 & 5 \\ - & 0 & 3 & 2 & 1 & 6 \\ \hline \end{array} \]

- Start from the rightmost column:
- \( 5 - 6 \) (we cannot subtract, so we borrow)
- Borrow 1 from the next column (making it 4), so \( 15 - 6 = 9 \)

- Move to the next column:
- \( 4 - 1 = 3 \)

- Next column:
- \( 4 - 2 = 2 \)

- Finally:
- \( 11 - 3 = 8 \)

So, the result of \( 11445 - 3216 \) is \( 8229 \).

### Final Answer
Thus, the final answer is \( 8229 \).

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