Question

The number of significant figures in 6.0023 is
A. 5
B. 4
C. 3
D. 1

Answer 1

Hint: Significant figures are the digits that are calculated with certainty plus one which is uncertain. According to the rule for significant numbers, if zeros are in between two non-zero digits, then the zeros have significance.

Complete Step by Step Solution:
- In this question, we are given a number with a decimal after one digit which is 6.0023.
- We have to calculate the number of significant numbers.
- Some set of rules is there that label the numbers as significant figures.
- One of these rules states that all non-zero digits are significant.
- So, the non-zero numbers 6 are significant.
- For the two zeros, 2 and 3 that are present after the decimal, there is a different rule.
- This rule says that zeros at the end or right-hand side of a number are significant, provided they are on the right-hand side of the decimal point.
- For example, 0.50 has two significant numbers.
- In the given question, there are two zeros between non-zero numbers 6 and 3.
- So, these zeros are significant figures.
- 2 and 3 are non-zero numbers and as a result, are significant figures.
- Thus, 6.0023 includes five significant figures.
So, option B is correct.

Note: All experimental measures have some portion of uncertainty with them due to the restrictions of the measuring equipment and the proficiency of the person completing the measurement. For instance, the mass of an object is calculated by employing a balance and it turns up to be 9.4 g. Hence, digit 4 positioned after the decimal in the estimation by platform balance is uncertain. We are not sure about this value.