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Question: Answered & Verified by Expert
Assertion (A) The number 0.00764 has three significant figures.
Reason (R) If the number is less than 1 , the zeros on the right of the decimal point but to the left of the first non-zero digit are not significant.
PhysicsMathematics in PhysicsAP EAMCETAP EAMCET 2019 (23 Apr Shift 1)
Options:
  • A Both \((A)\) and \((R)\) are true and \((R)\) is the correct explanation of \((A)\).
  • B Both \((A)\) and \((R)\) are true but \((R)\) is not the correct explanation of \((A)\).
  • C \((A)\) is true but \((R)\) is false.
  • D (A) is false but \((R)\) is true.
Solution:
1906 Upvotes Verified Answer
The correct answer is: Both \((A)\) and \((R)\) are true and \((R)\) is the correct explanation of \((A)\).
If the number is less than one, the zero on the right of decimal point but to the left of the first non-zero digit are not significant, i.e. in \(\underline{\mathbf{0}} \underline{\underline{00} 764 \text {, }}\) the underlined zeroes are not significant. The number of significant digit is 3 .
Both assertion (A) and reason ( \(\mathrm{R}\) ) are correct and reason \((R)\) is the correct explanation of assertion (A).

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