Final answer:
To order the numbers 0.5, 0.09, 0.03, and 0.002 from largest to smallest, we compare the value of each digit after the decimal point. The correct order is 0.5, 0.09, 0.03, 0.002.
Step-by-step explanation:
To put the following numbers in order from largest to smallest, we need to compare their values: 0.09, 0.5, 0.03, 0.002.
First, look at the digits after the decimal point to determine their size. The largest number will have the highest value digit in the tenths place, followed by the hundredths place, and so on:
0.5 - This has 5 in the tenths place, which is the largest value among the given numbers.
0.09 - This number has 0 in the tenths place and 9 in the hundredths place, making it the next largest number.
0.03 - With 0 in the tenths and 3 in the hundredths place, this is the second smallest number.
0.002 - With 0 in the tenths and hundredths, and 2 in the thousandths place, this is the smallest number.
Therefore, the numbers ordered from largest to smallest are: 0.5, 0.09, 0.03, 0.002.