Multiply 0.0235 by 0.0327

Answer

To multiply 0.0235 by 0.0327, we can follow these steps:

### Step 1: Ignore the decimal points and multiply the numbers as whole numbers.
We will first multiply 235 by 327.

### Step 2: Perform the multiplication.
- **Multiply 7 (from 327) by 235:**
- 7 x 5 = 35 (write down 5 and carry over 3)
- 7 x 3 = 21 + 3 (carry) = 24 (write down 4 and carry over 2)
- 7 x 2 = 14 + 2 (carry) = 16 (write down 16)

So, the result of 7 x 235 = 1645.

- **Multiply 2 (from 327) by 235 (shift one position to the left):**
- 2 x 5 = 10 (write down 0 and carry over 1)
- 2 x 3 = 6 + 1 (carry) = 7 (write down 7)
- 2 x 2 = 4 (write down 4)

So, the result of 2 x 235 = 470.

- **Multiply 3 (from 327) by 235 (shift two positions to the left):**
- 3 x 5 = 15 (write down 5 and carry over 1)
- 3 x 3 = 9 + 1 (carry) = 10 (write down 0 and carry over 1)
- 3 x 2 = 6 + 1 (carry) = 7 (write down 7)

So, the result of 3 x 235 = 705.

### Step 3: Add all the results together.
```
1645
+ 4700
+ 70500
---------
76945
```

### Step 4: Count the total number of decimal places.
- 0.0235 has 4 decimal places.
- 0.0327 has 4 decimal places.
- Total = 4 + 4 = 8 decimal places.

### Step 5: Place the decimal point in the result.
We take the result 76945 and place the decimal point 8 places from the right:
- 76945 becomes 0.00076945.

### Final Answer:
0.0235 multiplied by 0.0327 equals **0.00076945**.

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