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Question

Find the option with 5 significant figures


A

0.02608

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B

2.608

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C

26.008

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D

26.08

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Solution

The correct option is C

26.008


Rules of significant figures

  1. Non-zero digits are significant.
  2. A zero in between significant digits are significant.
  3. In decimal numbers, the zeroes at the end are significant.
  4. In a non-decimal number zeroes at the end are not significant.

Explanation of correct option

Option C,

26.008

Here 2,6,8 are significant since they are non-zero digits, since the zero's lie in between these significant figures, they are also significant. So 26.008 has five significant figures.

Explanation of incorrect options

Option A,

0.02608

Here 2,6,8 are significant since they are non-zero digits, the two zero's at the first are insignificant, and the zero in between the significant numbers is significant. So 0.02608 has four significant figures.

Option B,

2.608

Here 2,6,8 are significant since they are non-zero digits, the zero in between the significant numbers is significant. So 2.608 has four significant figures.

Option D,

26.08

Here 2,6,8 are significant since they are non-zero digits, the zero in between the significant numbers is significant. So 2.608 has four significant figures.

Therefore, Option C is correct


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