Question: Write the answer in standard form
correct to 3 significant figures.
$479000 \times 43.95 = \square \times 10^{-\square}$
1. **State the problem:** We need to multiply $479000$ by $43.95$ and express the result in standard form correct to 3 significant figures.
2. **Recall the formula for standard form:**
Standard form is written as $$a \times 10^n$$ where $1 \leq a < 10$ and $n$ is an integer.
3. **Calculate the product:**
$$479000 \times 43.95 = 479000 \times (40 + 3.95) = 479000 \times 40 + 479000 \times 3.95$$
$$= 19160000 + 1892050 = 21052050$$
4. **Express in standard form:**
$$21052050 = 2.105205 \times 10^7$$
5. **Round to 3 significant figures:**
$$2.105205 \approx 2.11$$
6. **Final answer:**
$$2.11 \times 10^7$$
So, the answer in standard form correct to 3 significant figures is $$2.11 \times 10^7$$.