Question

Find the number of significant figures in the following :
(a) 0.0010x10^4 m
(b) 4.20x10-6 kg​

Answer 1

Answer:

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Explanation:

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Answer 2

we have to find the number of significant figures in the following :

(a) 0.0010 × 10⁴ m

(b) 4.20 × 10⁻⁶ kg

solution : there are lots of rules of significant figures. here i'm mentioning some of them to find the significant figures of above data.

rule : A final or trailing zeros in the decimal portion only are significant figure.

for example, 0.23000 , 1.200 ; the zeros are significant.

                    but 0.00278 , 0.001 ; the zeros are not significant.

now i think, you understand the concept behind this question. let's solve the problem.

(a)0.0010 × 10⁴ m,

the significant figures of this value = 2.

[ note : you can write 0.0010  × 10⁴ m = 10 m and it is clearly shown that significant figures of it = 2 ]

(b) 4.20  × 10⁻⁶ kg,

the significant figure of this value = 3

[ as you know numbers are always significant and trailing zeros are significant. here there are two numbers and one trailing zero so there are 3 significant figures]