Question

19. When 5728 is reduced to 2 significant figures its value is
a) 573 b) 57 c) 5730 d) 5700​

Answer 1

To convert:

5728 to 2 significant figures.

Solution:

First of all, let us explain the rules of significant figures:

• Trailing zeroes to the right of a decimal point will be considered as significant.

• Trailing zeroes to the left of a decimal point it will not be considered as significant

• All zeroes in-between non-zero digits will be considered as significant.

• All non zero digits will be considered as significant.

See the 2nd point carefully:

• 5728 has all non-zero digits, hence there are 4 significant figures.

• So, if we convert it to 5700, there are only 2 significant figures, trailing zeros will not be considered as significant.

So, final answer:

$\boxed{ \bf 5700 \implies \: 2 \: significant \: figures}$