To round to three significant figure you need to retain only the first three digits, starting with a non-zero digit. So it is 58x.
Now the x bit is 2.968 and since 0.968 is greater than 0.5, 2.968 is rounded up to 3. So the answer is 583.
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0.00241
0.990
It's already there.
6.71 is 6.7050 is rounded to three significant figures.
0.07537 rounds to 0.0754