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Which of the following is correct ?...

Which of the following is correct ?

A

`0.088 gt 0.18`

B

`0.4 = 0.04`

C

`4.72 gt 4.702`

D

`2.8 gt 2.800`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the statements is correct regarding the given decimal numbers, we will analyze each statement step by step. ### Step 1: Analyze the first statement The first statement compares 0.088 and 0.180. - **0.088** has: - 0 in the tenths place - 8 in the hundredths place - 8 in the thousandths place - **0.180** has: - 0 in the tenths place - 1 in the hundredths place - 8 in the thousandths place **Comparison**: - Both numbers have 0 in the tenths place. - In the hundredths place, 0.088 has 0, while 0.180 has 1. - Since 1 (from 0.180) is greater than 0 (from 0.088), we conclude that **0.180 > 0.088**. **Conclusion**: The first statement is incorrect. ### Step 2: Analyze the second statement The second statement compares 0.4 and 0.04. - **0.4** has: - 4 in the tenths place - 0 in the hundredths place - **0.04** has: - 0 in the tenths place - 4 in the hundredths place **Comparison**: - In the tenths place, 0.4 has 4, while 0.04 has 0. - Since 4 (from 0.4) is greater than 0 (from 0.04), we conclude that **0.4 > 0.04**. **Conclusion**: The second statement is incorrect. ### Step 3: Analyze the third statement The third statement compares 4.72 and 4.702. - **4.72** can be rewritten as **4.720** (adding a zero does not change its value). - **4.702** has: - 4 in the units place - 7 in the tenths place - 0 in the hundredths place - 2 in the thousandths place **Comparison**: - Both numbers start with 4.7. - In the hundredths place, 4.720 has 2, while 4.702 has 0. - Since 2 (from 4.720) is greater than 0 (from 4.702), we conclude that **4.720 > 4.702**. **Conclusion**: The third statement is incorrect. ### Step 4: Analyze the fourth statement The fourth statement compares 2.8 and 2.80. - **2.8** can be rewritten as **2.80** (adding a zero does not change its value). **Comparison**: - Both numbers are equal as they represent the same value. **Conclusion**: The fourth statement is incorrect. ### Final Conclusion After analyzing all statements, we find that all statements are incorrect except for the third statement which is correct. Thus, the correct answer is that **4.72 is greater than 4.702**.
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