Multiply 34.6 by 0.23

Answer

To multiply 34.6 by 0.23, follow these steps:

### Step 1: Ignore the decimals and multiply the numbers as whole numbers.
We will first multiply 346 (which is 34.6 without the decimal) by 23 (which is 0.23 without the decimal).

### Step 2: Perform the multiplication.
- Multiply 346 by 23:
- First, multiply 346 by 3 (the units place of 23):
- 3 × 6 = 18 (write down 8, carry over 1)
- 3 × 4 = 12, plus the carry over 1 = 13 (write down 3, carry over 1)
- 3 × 3 = 9, plus the carry over 1 = 10 (write down 0, carry over 1)
- So, 346 × 3 = 1038.

- Next, multiply 346 by 2 (the tens place of 23):
- 2 × 6 = 12 (write down 2, carry over 1)
- 2 × 4 = 8, plus the carry over 1 = 9 (write down 9)
- 2 × 3 = 6 (write down 6)
- So, 346 × 2 = 6920 (remember to add a zero because we are in the tens place).

### Step 3: Add the two results together.
Now, we add the two results:
```
1038
+ 6920
-------
7958
```

### Step 4: Place the decimal point.
Now, we need to place the decimal point in the result.
- In the original numbers, we had:
- 34.6 has 1 decimal place.
- 0.23 has 2 decimal places.
- Therefore, we have a total of 1 + 2 = 3 decimal places.
- We place the decimal point in 7958 to get 7.958.

### Final Answer:
The final answer is **7.958**.

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