First slide

Accuracy; precision of instruments and errors in measurements

Question

State the no. of significant figures in the following measurements i) 0.020800m ii) $5.308 N / m^{2}$ iii) $1.90 \times 10^{11} k g$

Moderate

A

1,4,3
B

5,4,3
C

5,2,1
D

5,4,5

Solution

$i) 0.020800 \to s i g n i f i c a n t f i g u r e s i s 5 i f t h e n u m b e r i s l e s s t h a n o n e, a l l t h e z e r o s t o t h e r i g h t o f t h e d e c i m a l p o i n t b u t t o t h e l e f t o f t h e f i r s t n o n z e r o d i g i t a r e n o t s i g n i f i c a n t$

$i i) 5.308 \to s i g n i f i c a n t f i g u r e s i s 4 a l l n o n z e r o d i g i t s i n a g i v e n n u m b e r a r e s i g n i f i c a n t w i t h o u t a n y r e g a r d t o t h e l o c a t i o n o f t h e d e c i m a l p o i n t i f a n y$

$i i i) 1.90 \times 10^{11} \to s i g n i f i c a n t f i g u r e s 3 a l l n o n z e r o d i g i t s i n a g i v e n n u m b e r a r e s i g n i f i c a n t w i t h o u t a n y r e g a r d t o t h e l o c a t i o n o f t h e d e c i m a l p o i n t i f a n y a n d a l l z e r o s t o t h e r i g h t o f t h e l a s t n o n z e r o d i g i t a f t e r t h e d e c i m a l p o i n t a r e s i g n i f i c a n t$

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