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Write the number of significant digits in $6.032$-
(A) 4
(B) 3
(C) 2
(D) None of the above
Answer
482.4k+ views
Hint
The significant figures of a number are the figures or digits that represent the measurement of the level of accuracy. Significant figures are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.
Complete step by step answer
Given, $6.032$
Significant figures include all digits in value with few exceptions that are as follows:
(i) All leading zeros are not included in the determination of significant numbers.
(ii) Trailing zeros when they are used to indicate the scale of the number and not included in the determination of significant numbers of value.
(iii) the digits that are carried out to greater precision than that of the original data after calculations such as spurious digits are not included in the determination of the significant figure of value.
(iv) The measurements that amount to a greater precision than the equipment supports also do not get included in the determination of the significant figure of value.
We calculate the significant figures of the given value according to the rules and observe that, There are no leading zeros and no trailing zeros in the given value and the number of digits after the decimal point is four.
Therefore, (A) 4, is the required solution.
Note
All rules to determine significant digits of value are to be followed considering that the number of significant figures is calculated after the decimal point in the value.
The significant figures of a number are the figures or digits that represent the measurement of the level of accuracy. Significant figures are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.
Complete step by step answer
Given, $6.032$
Significant figures include all digits in value with few exceptions that are as follows:
(i) All leading zeros are not included in the determination of significant numbers.
(ii) Trailing zeros when they are used to indicate the scale of the number and not included in the determination of significant numbers of value.
(iii) the digits that are carried out to greater precision than that of the original data after calculations such as spurious digits are not included in the determination of the significant figure of value.
(iv) The measurements that amount to a greater precision than the equipment supports also do not get included in the determination of the significant figure of value.
We calculate the significant figures of the given value according to the rules and observe that, There are no leading zeros and no trailing zeros in the given value and the number of digits after the decimal point is four.
Therefore, (A) 4, is the required solution.
Note
All rules to determine significant digits of value are to be followed considering that the number of significant figures is calculated after the decimal point in the value.
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