Arrange the following numbers in descending order.
0.9898,0.8899,0.9889,0.8989

Options

A. 0.9898,0.9889,0.8989,0.8899
B. 0.8899,0.8989,0.9898,0.9889
C. 0.8899,0.8989,0.9889,0.9898
D. 0.8989,0.8899,0.9889,0.9898

Answer

To arrange the numbers 0.9898, 0.8899, 0.9889, and 0.8989 in descending order, we will follow these steps:

### Step 1: List the Numbers
First, let's write down the numbers we need to arrange:
- 0.9898
- 0.8899
- 0.9889
- 0.8989

### Step 2: Compare the Whole Numbers
Since all the numbers are decimal numbers less than 1, we will compare the digits starting from the leftmost side (the tenths place).

- The first digit after the decimal point for all numbers is 0. Therefore, we move to the next digit (the hundredths place).

### Step 3: Compare the Hundredths Place
Now, we compare the hundredths place:
- 0.9898 has 9
- 0.8899 has 8
- 0.9889 has 8
- 0.8989 has 8

Here, 0.9898 has the highest hundredths place value (9), so it is the largest number.

### Step 4: Compare Remaining Numbers
Next, we need to compare the remaining numbers (0.8899, 0.9889, and 0.8989) since they all have 8 in the hundredths place.

- For 0.9889, the next digit (the thousandths place) is 8.
- For 0.8989, the next digit (the thousandths place) is 9.
- For 0.8899, the next digit (the thousandths place) is 9.

Now we can see:
- 0.9889 (8 in the thousandths place) is larger than both 0.8989 and 0.8899.
- 0.8989 (9 in the thousandths place) is larger than 0.8899.

### Step 5: Final Arrangement
Now we can arrange the numbers in descending order:
1. 0.9898
2. 0.9889
3. 0.8989
4. 0.8899

### Final Answer
The numbers arranged in descending order are:
0.9898, 0.9889, 0.8989, 0.8899.

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