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Question

Mathematics Question on Significant figures

If Log107=0.8451Log_{10}7=0.8451 then the position of the first significant figure of 7207^{-20} is

A

16

B

17

C

20

D

15

Answer

17

Explanation

Solution

Let x=720x=7^{-20}
log10x=20log107\log _{10} x=-20 \log _{10} 7
=20(0.8451)=-20(0.8451)
=16.902=-16.902
Hence, the first significant figure is 17.17 .