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Mark against the correct answer
Which of the following is the correct order?

A

`2.2 lt 2.02 lt 2.002 lt 2.222`

B

`2.002 lt 2.02 lt 2.2 gt 2.222`

C

`2.02 lt 2.22 gt 2.002 lt 2.222`

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of determining the correct order of the given decimal numbers, we will analyze each option step by step. ### Step 1: Understand the Decimal Numbers The decimal numbers given in the options are: - 2.2 - 2.02 - 2.002 - 2.222 ### Step 2: Compare the Numbers To compare decimal numbers, we can align them by their decimal points and compare digit by digit from left to right. ### Step 3: Analyze Each Option **Option A: 2.2 < 2.02 < 2.002 < 2.222** - Compare 2.2 (which can be written as 2.200) and 2.02 (which can be written as 2.020). - 2.200 is greater than 2.020. Thus, this option is incorrect. **Option B: 2.002 < 2.02 < 2.2 < 2.222** - Compare 2.002 and 2.02: 2.002 is less than 2.020. - Compare 2.02 and 2.2: 2.020 is less than 2.200. - Compare 2.2 and 2.222: 2.200 is less than 2.222. - This option is correct. **Option C: 2.02 < 2.22 < 2.002 < 2.222** - Compare 2.02 and 2.22: 2.020 is less than 2.220. - Compare 2.22 and 2.002: 2.220 is greater than 2.002, so this part is incorrect. - Thus, this option is incorrect. **Option D: None of these** - Since we found that option B is correct, option D is not applicable. ### Conclusion The correct order of the decimal numbers is given in **Option B: 2.002 < 2.02 < 2.2 < 2.222**. ---
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