Rounding off numbers.
1) If the first figure to be discarded is 5 or more, then the previous figure is increased by 1.
5.259 = 5.26 (3sf) = 5.3 (2sf) = 5 (1sf)
As the questions asks for the solution to the nearest tenth then 5.3 is the required answer.
2) Zeros must be kept to show the position of the decimal point or to indicate that zero is a significant figure. . . . but this does not apply in this instance.
It is 5.2 when rounded to the nearest tenths.
65.6
It is then 52.8 when rounded to the nearest tenth
It is then 56.5 when rounded to the nearest tenth
It is 232.4 when rounded to the nearest tenth
It is then 20.2 when rounded to the nearest tenth
It is 0.8 when rounded to the nearest tenth
4.4
10775.9
2.7
54.4
28.6