182×(2.49×10−15)182×(2.49×10 −15 )  Give your final answer in scientific notation rounded to two decimal places.

1. Break Down the Problem

We need to calculate the product of two numbers: $182$ and $2.49 \times 10^{-15}$.

2. Relevant Concepts

The formula for multiplying a regular number by a number in scientific notation is: $a \times (b \times 10^n) = (a \times b) \times 10^n$

Where:

• $a = 182$
• $b = 2.49$
• $n = -15$

3. Analysis and Detail

We will multiply $182$ by $2.49$: $182 \times 2.49 = 453.18$ Now, we need to express this result in scientific notation.

4. Verify and Summarize

To convert $453.18$ into scientific notation: $453.18 = 4.5318 \times 10^2$ Now we combine this with $10^{-15}$: $4.5318 \times 10^2 \times 10^{-15} = 4.5318 \times 10^{-13}$

Final Answer

Rounding $4.5318$ to two decimal places gives us: $\boxed{4.53 \times 10^{-13}}$