1. **State the problem:**
Fill out the table by converting numbers to whole numbers or decimals and write them in standard form.
2. **Conversions for Oppgave 3:**
- $5\ 800\ 000\ 000 = 5.8 \times 10^{9}$
- $9.35 \times 10^{6} = 9\ 350\ 000$
- $0.00024 = 2.4 \times 10^{-4}$
- $7 \times 10^{-6} = 0.000007$
- $\frac{3}{1000} = 0.003 = 3 \times 10^{-3}$
3. **Oppgave 4a:** Calculate
$$4 \times 10^{6} \times 1\ 600\ 000\ 000 \times 10^{-11}$$
Rewrite $1\ 600\ 000\ 000 = 1.6 \times 10^{9}$
$$= 4 \times 10^{6} \times 1.6 \times 10^{9} \times 10^{-11}$$
Combine powers of ten:
$$= 4 \times 1.6 \times 10^{6 + 9 - 11} = 6.4 \times 10^{4}$$
Convert to whole number:
$$6.4 \times 10^{4} = 64\ 000$$
4. **Oppgave 4b:** Calculate
$$\frac{28\ 000\ 000 \times 10^{5} \times 600\ 000}{0.0003 \times 10^{18}}$$
Rewrite numbers in standard form:
$$28\ 000\ 000 = 2.8 \times 10^{7}, \quad 600\ 000 = 6 \times 10^{5}, \quad 0.0003 = 3 \times 10^{-4}$$
Substitute:
$$\frac{2.8 \times 10^{7} \times 10^{5} \times 6 \times 10^{5}}{3 \times 10^{-4} \times 10^{18}} = \frac{2.8 \times 6 \times 10^{7+5+5}}{3 \times 10^{-4+18}}$$
Simplify powers:
$$= \frac{16.8 \times 10^{17}}{3 \times 10^{14}}$$
Divide coefficients and powers:
$$= \frac{16.8}{3} \times 10^{17-14} = 5.6 \times 10^{3}$$
Convert to whole number:
$$5.6 \times 10^{3} = 5600$$
5. **Oppgave 5:** Calculate average soda consumption per person.
Total soda: $400\ 000\ 000$ liters
Population: $5\ 000\ 000$
Divide:
$$\frac{400\ 000\ 000}{5\ 000\ 000} = 80$$
Each person drinks 80 liters per year.
**Final answers:**
- Oppgave 3:
- $5\ 800\ 000\ 000 = 5.8 \times 10^{9}$
- $9.35 \times 10^{6} = 9\ 350\ 000$
- $0.00024 = 2.4 \times 10^{-4}$
- $7 \times 10^{-6} = 0.000007$
- $\frac{3}{1000} = 3 \times 10^{-3}$
- Oppgave 4a: $6.4 \times 10^{4} = 64\ 000$
- Oppgave 4b: $5.6 \times 10^{3} = 5600$
- Oppgave 5: $80$ liters per person per year
Potensregler Og Standardform 180Cd3
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