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552.836 is 552.84 to the nearest hundredth.

Consider the part of the number that is less than one hundredth.

In this question the part to be considered is 0.006 (or 6/1000)

If this is nearer to 0.01 - then round up.

If it nearer to 0.00 - then round down.

0.006 is nearer to 0.01 so it is rounded up to the hundredth above.

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