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Class 11 Exam  >  Class 11 Questions  >  The number of significant digits in 8.1000 is... Start Learning for Free
The number of significant digits in 8.1000 is
  • a)
    3
  • b)
    1
  • c)
    5
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The number of significant digits in 8.1000 isa)3b)1c)5d)4Correct answe...
There are three rules on determining how many significant figures are in a number: 
  • Non-zero digits are always significant.
  • Any zeros between two significant digits are significant.
  • A final zero or trailing zeros in the decimal portion ONLY are significant.
Keeping these rules in mind, we can say that there are 5 significant digits.
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Most Upvoted Answer
The number of significant digits in 8.1000 isa)3b)1c)5d)4Correct answe...
The correct option is (c .) because all the three zeroes after the decimal are counted as it is a rule for writing significant figures that ZEROES AT THE END OR RIGHT OF A NUMBER ARE SIGNIFICANT IF THEY ARE ON THE RIGHT OF THE DECIMAL POINT. FOR EXAMPLE - 0.700 have 3 significant figures because both the zeroes after decimal point have been counted.
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Community Answer
The number of significant digits in 8.1000 isa)3b)1c)5d)4Correct answe...
The original (8.1000) had 5 significant figures and a least significant decimal of -4.
  • Addition
     (+) and 
    subtraction
     (-) round by the least number of decimals.
  • Multiplication
     (*) and 
    division
     (/ ) round by the least number of significant figures.
  • Logarithm
     (log, ln) uses the input's number of significant figures as the result's number of decimals.
  • Antilogarithm
     (n^x.y) uses the power's number of decimals (mantissa) as the result's number of significant figures.
  • Exponentiation
     (n^x) only rounds by the significant figures in the base.
  • To count 
    trailing zeros
    , add a decimal point at the end (e.g. 1000
    .
    ) or use scientific notation (e.g. 1.000 * 10^3 or 1.000e3).
  • Zeros
     have all their digits counted as significant (e.g. 0 = 1, 0.00 = 3).
  • Rounds when appropriate, after parentheses, and on the final step.
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