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0.52

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I get 6.62 but your theory is correct.

Q: 0.52 plus 6.1 6.61 because 0.51 is precise to the hundredth digit so the answer must also be rounded to the nearest hundredth?

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It then is 16.11 rounded to the nearest hundredth

16.64

0.09

1.54

12.04

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127816.95

By leaving it as it is because 65.95 is already rounded to the nearest hundredth

Exactly 1.83 because it is already rounded to the nearest hundredth

There is no such thing as "whole hundredth". That phrase contradicts itself because hundredth is a part not a whole. But 1.759 rounded to the nearest hundredth is 1.76

44444444 rounded to the nearest hundredth is 44444444 0.44444444 rounded to the nearest hundredth is 0.44

It is 1.54 rounded to the nearest hundredth

It then is 16.11 rounded to the nearest hundredth

It is already to the nearest hundredth as 9.69

0.20

By leaving it alone because 0.15 is already rounded to the nearest hundredth

It is already rounded to the nearest hundredth.

16.64