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# Round the following numbers :

Question:

Round the following numbers to 2 significant digits. (a) 3472 , (b) $84.16$, (c) $2.55$ and (d) $28.5$.

Solution:

(a) Here after 4 , the number is 7 , which is greater than 5 . So, the next two digits are neglected and the 4 becomes 5 . Hence, rounded value $=3500$

(b) Here after 4 , the number is 1 , which is less than 5 . So, the next two digits are neglected and the 4 doesn't change. Hence, rounded value $=84$

(c) Here after 5 , the number is 5 . So, the next two digits are neglected and the 5 is increased by $1 .$ Hence, rounded value $2.6$

(d) Here, after 8 the number is 5 , and hence 8 is increased by 1 . So the rounded value is 29