question_answer

What is the difference between the following? (i) \[2\cdot 5\,\times {{10}^{3}}\,g\]and\[2\cdot 50\,\times {{10}^{3}}g\] (ii) 160 cm and 160.0 cm.

Answer:

                (i) \[2\cdot 5\,\times {{10}^{3}}\,g\]has two significant figures while\[2\cdot 50\,\times {{10}^{3}}g\] has three significant figures. Hence, \[2\cdot 50\,\times {{10}^{3}}g\] represents greater accuracy than\[2\cdot 5\,\times {{10}^{3}}\]. (ii) 160 has three significant figures while 160.0 has four significant figures. Hence, 160.0 represents greater accuracy.