Multiply 38 by 32.

Answer

To multiply 38 by 32, we can use the traditional multiplication method. Here’s the step-by-step solution:

### Step 1: Write the numbers vertically
```
38
× 32
______
```

### Step 2: Multiply the bottom right digit (2) by the top number (38)
- Multiply 2 by 8:
- \(2 \times 8 = 16\)
- Write down 6 and carry over 1.

- Multiply 2 by 3 (the tens place):
- \(2 \times 3 = 6\)
- Add the carry (1):
- \(6 + 1 = 7\)

So, the first row of the result is:
```
38
× 32
______
76 (This is 38 × 2)
```

### Step 3: Multiply the bottom left digit (3) by the top number (38)
- Since we are multiplying by the tens place, we need to add a zero to the end of this row:
```
38
× 32
______
76
+1140 (This is 38 × 3, shifted one place to the left)
```
- Multiply 3 by 8:
- \(3 \times 8 = 24\)
- Write down 4 and carry over 2.

- Multiply 3 by 3 (the tens place):
- \(3 \times 3 = 9\)
- Add the carry (2):
- \(9 + 2 = 11\)

So, the second row of the result is:
```
38
× 32
______
76
+1140
```

### Step 4: Add the two results together
```
76
+1140
______
1216
```

Thus, \(38 \times 32 = 1216\).

### Final Answer:
38 multiplied by 32 equals 1216.

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