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Select all the true sentences.

- [tex]0.6 \ \textgreater \ 0.702[/tex]

- [tex]7.65 \ \textgreater \ 73.400[/tex]

- [tex]83.7 \ \textgreater \ 77.21[/tex]

- [tex]6.00 \ \textgreater \ 6.00[/tex]

Answer :

Sure! Let's analyze each statement one by one to determine which are true.

1. [tex]$0.6 > 0.702$[/tex]:
- When comparing decimal numbers, we look at each digit from left to right.
- In the tenths place, 0.6 has a "6" and 0.702 has a "7". Since 6 is less than 7, 0.6 is not greater than 0.702.
- Therefore, this statement is False.

2. 7.65 > 73.400:
- Comparing these whole numbers first, we see that 7 (from 7.65) is less than 73 (from 73.400).
- Thus, 7.65 is not greater than 73.400.
- Therefore, this statement is False.

3. 83.7 > 77.21:
- Look at the whole numbers first: 83 is greater than 77.
- Since 83 is greater than 77, no need to look further because the whole number part already makes this true.
- Therefore, this statement is True.

4. [tex]$6.00 > 6.00$[/tex]:
- Both numbers are exactly the same, 6.00 equals 6.00.
- Since they are equal, 6.00 is not greater than 6.00.
- Therefore, this statement is False.

By evaluating each of these, the true statement is:
- 83.7 > 77.21

So, among the given options, the true sentence is: 83.7 > 77.21.

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