Multiply 0.089 by 0.76.

Answer

To solve the multiplication of 0.089 by 0.76 step by step, follow these instructions:

### Step 1: Write the multiplication in standard form
We start with the equation:
\[ 0.089 \times 0.76 \]

### Step 2: Remove the decimals
To simplify the multiplication, we can remove the decimals by converting the numbers into whole numbers.

- For 0.089, we can multiply it by 1000 (since it has three decimal places) to get 89.
- For 0.76, we can multiply it by 100 (since it has two decimal places) to get 76.

So, we rewrite the multiplication as:
\[ 89 \times 76 \]

### Step 3: Perform the multiplication
Now, we will multiply 89 by 76 using the standard multiplication method.

1. Multiply 89 by 6 (the unit place of 76):
\[ 89 \times 6 = 534 \]

2. Multiply 89 by 7 (the tens place of 76), remembering to add a zero since this is actually 70:
\[ 89 \times 7 = 623 \quad \text{(then add a zero)} \quad = 6230 \]

3. Now, add the two results together:
\[ 534 + 6230 = 6764 \]

### Step 4: Adjust for the decimal places
Now we need to adjust for the decimal places we removed earlier.

- We originally multiplied 0.089 by 1000 (3 decimal places) and 0.76 by 100 (2 decimal places), so we have a total of 5 decimal places to account for in our final answer.

Thus, we place the decimal point in 6764 to get:
\[ 0.06764 \]

### Final Answer
Therefore,
\[ 0.089 \times 0.76 = 0.06764 \]

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