Question - Significant Figures Calculation in Mathematics

Solution:

The image shows a mathematics question paper with the first question asking to express the number 0.0000407 to two significant figures.To express the number to two significant figures, we need to consider the first two non-zero digits. In this case, the first two non-zero digits are '4' and '0'. However, since the '0' is not significant in this context (it doesn't add any value after the '4'), we only consider '4' as the significant digit. Thus, we need to round the number 0.0000407 to the place of the '4'.The '4' is in the ten-thousandths place, and the digit right after the '4' is '0', so there is no need to round up. Thus, we get 0.00004 (option b).Therefore, the correct answer to question 1 is:(b) 0.00004

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