1. **Stating the problem:** We need to find which number from the list rounds to the same value when rounded to one significant figure and when rounded to one decimal place. 2. **Understanding rounding rules:** - *One significant figure* means keeping only the first non-zero digit and rounding the rest. - *One decimal place* means rounding the number to one digit after the decimal point. 3. **Check each number:** - For 1.059: - One significant figure: $1.059 \approx 1$ (since first digit is 1, next digit 0 is less than 5, so stays 1) - One decimal place: $1.059 \approx 1.1$ (since second decimal digit 5 rounds up the first decimal digit) - Not the same. - For 1.49: - One significant figure: $1.49 \approx 1$ (4 is less than 5, so stays 1) - One decimal place: $1.49 \approx 1.5$ (9 rounds up 4 to 5) - Not the same. - For 1.59: - One significant figure: $1.59 \approx 2$ (5 rounds up 1 to 2) - One decimal place: $1.59 \approx 1.6$ (9 rounds up 5 to 6) - Not the same. - For 1.049: - One significant figure: $1.049 \approx 1$ (0 less than 5, stays 1) - One decimal place: $1.049 \approx 1.0$ (4 less than 5, stays 0) - Both round to 1 (one significant figure) and 1.0 (one decimal place), which represent the same value. 4. **Conclusion:** The number 1.049 rounds to the same amount when rounded to one significant figure and one decimal place. **Final answer:** 1.049