Final answer:
The correct answer is option C, which is 0.087, as it is the numerically smallest value among the choices given, with no tenths and the least value in the hundredths place.
Step-by-step explanation:
The correct answer is option C, which is 0.087. In comparing decimals, it's easiest to first look at the number immediately following the decimal point. The numbers 1 (A) and 1.01 (D) are immediately eliminated because they are greater than 1. Among the remaining options, 0.29 (B) has a 2 in the tenths place, 0.22 (E) has a 2 in the tenths place, and 0.087 (C) has a 0 in the tenths place, making it the smallest because it has no tenths. When comparing hundredths and thousandths, 0.087 (C) is the smallest since it has the least value in the hundredths place and additional thousandths compared to the others.
To determine the smallest number among the given options, we compare the decimal parts of each number.
1 has no decimal part.
.29 has a decimal part of 29.
.087 has a decimal part of 87.
1.01 has a decimal part of 01.
.22 has a decimal part of 22.
Comparing the decimal parts, we can see that .087 has the smallest decimal part, therefore it is the smallest number among the given options.