State the number of significant figures in the following:
(i) When 234.05 is rounded off to the nearest whole number.
(ii) 0.00502050
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The number of significant digits is, (i) 3 and (ii) 6.
- The number that is given as digits is established using significant figures. A meaningful representation of numbers is carried by these digits. Frequently, significant digits are employed in place of figures. By counting all of the values beginning with the first non-zero digit on the left, we may determine the number of significant digits. The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number.
- By omitting one or more digits from the right, a number is rounded off to the necessary number of significant digits. The last digit kept should not change if the first digit in the left column is less than 5. The last digit is rounded up when the first digit exceeds 5. When there are precisely five digits remaining, the number retained is rounded up or down to an even number. Rounding off should be done as a whole rather than one digit at a time when there are multiple digits left.
Here, the numbers are given as,
(i) When 234.05 is rounded off to the nearest whole number = 234.
Here the number of significant digits is 3.
(ii) 0.00502050
Here, the number of significant digits is 6.
Hence, the number of significant digits is, (i) 3 and (ii) 6.
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