1. **State the problem:** We need to calculate $$\frac{1.2 \times 10^{15}}{3 \times 10^{9}}$$ and express the answer in standard form.
2. **Recall the rule for division of numbers in standard form:**
$$\frac{a \times 10^{m}}{b \times 10^{n}} = \frac{a}{b} \times 10^{m-n}$$
3. **Apply the rule:**
$$\frac{1.2 \times 10^{15}}{3 \times 10^{9}} = \frac{1.2}{3} \times 10^{15-9}$$
4. **Calculate the fraction:**
$$\frac{1.2}{3} = 0.4$$
5. **Calculate the power of ten:**
$$10^{15-9} = 10^{6}$$
6. **Combine the results:**
$$0.4 \times 10^{6}$$
7. **Convert to standard form:**
Standard form requires the coefficient to be between 1 and 10, so:
$$0.4 \times 10^{6} = 4.0 \times 10^{5}$$
**Final answer:** $$4.0 \times 10^{5}$$
Standard Form Division
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