Calculate the following answer and round the final answer to the correct number of significant figures.2.2300001 x 2.00 = ?

1. Break Down the Problem

We need to multiply the two numbers: $2.2300001$ and $2.00$.

2. Relevant Concepts

When performing multiplication with significant figures, the result should be rounded to the same number of significant figures as the factor with the least significant figures.

• $2.2300001$ has 8 significant figures.
• $2.00$ has 3 significant figures.

3. Analysis and Detail

We will perform the multiplication:

$2.2300001 \times 2.00 = 4.4600002$

Now, we must round the result to the correct number of significant figures. Since $2.00$ has the least significant figures (3), we will round $4.4600002$ to 3 significant figures.

4. Verify and Summarize

The first three significant figures of $4.4600002$ are $4.46$. Therefore, rounding gives us:

Final Answer

$\text{Final result} = 4.46$