1. The problem asks to write the populations of given countries in scientific notation. 2. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. 3. For Brazil: 208,000,000 can be written as $$2.08 \times 10^{8}$$ because moving the decimal 8 places to the left gives 2.08. 4. For Fiji: 899,000 can be written as $$8.99 \times 10^{5}$$ because moving the decimal 5 places to the left gives 8.99. 5. For Monaco: 38,000 can be written as $$3.8 \times 10^{4}$$ because moving the decimal 4 places to the left gives 3.8. 6. For Singapore: 5,600 can be written as $$5.6 \times 10^{3}$$ because moving the decimal 3 places to the left gives 5.6. 7. The inequality $6.9 \times 10^{?} < 0.00075$ asks for the exponent that makes $6.9 \times 10^{?}$ less than 0.00075. 8. Since $0.00075 = 7.5 \times 10^{-4}$, we want $6.9 \times 10^{?} < 7.5 \times 10^{-4}$. 9. Because 6.9 is close to 7.5, the exponent must be less than $-4$ to make the product smaller. 10. So the exponent is $-5$ or less, for example, $6.9 \times 10^{-5} = 0.000069$ which is less than 0.00075. 11. For the comparison $0.00069 > 0.0006? 0.0009$, we see that $0.00069$ is greater than $0.0006$ but less than $0.0009$. Final answers: - Brazil: $$2.08 \times 10^{8}$$ - Fiji: $$8.99 \times 10^{5}$$ - Monaco: $$3.8 \times 10^{4}$$ - Singapore: $$5.6 \times 10^{3}$$ - Exponent in $6.9 \times 10^{?} < 0.00075$ is $$-5$$ - $0.00069$ is greater than $0.0006$ but less than $0.0009$.