1. The problem asks to arrange the numbers 0.091, 0.019, 0.011, and 0.099 from smallest to largest. 2. To compare decimal numbers, look at the digits from left to right. 3. Compare the first digit after the decimal point: - 0.011 has 0 in the first decimal place. - 0.019 has 0 in the first decimal place. - 0.091 has 0 in the first decimal place. - 0.099 has 0 in the first decimal place. 4. Since all have 0 in the first decimal place, compare the second decimal place: - 0.011 has 1 - 0.019 has 1 - 0.091 has 9 - 0.099 has 9 5. For 0.011 and 0.019, compare the third decimal place: - 0.011 has 1 - 0.019 has 9 So 0.011 < 0.019 6. For 0.091 and 0.099, compare the third decimal place: - 0.091 has 1 - 0.099 has 9 So 0.091 < 0.099 7. Now arrange all four numbers in order: 0.011 < 0.019 < 0.091 < 0.099 8. The correct order from smallest to largest is 0.011, 0.019, 0.091, 0.099.