Discussion
Which of the following arrangements represents a descending order of numbers ?
Answer: A
The descending order is 10.5, 1.50, 1.055, 1.05, 1.005, 0.155.
Compare the numbers place by place. 10.5 is the only number with a tens digit, so it is largest, and 0.155 the only one below 1, so it is smallest. Among the four numbers between 1 and 2, compare the tenths digit first: 1.50 has 5 tenths, and the others 0 tenths. Then compare hundredths: 1.055 and 1.05 both have 5 hundredths, and 1.055 is larger because of its extra thousandths; 1.005 has 0 hundredths.
\[ 1.50 \gt 1.055 \gt 1.050 \gt 1.005 \]
Option D puts 1.05 before 1.055, the error of treating the longer decimal as smaller; options B and C are not in descending order at all.
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