First slide

Accuracy; precision of instruments and errors in measurements

Question

The respective number of significant figures for the numbers 23.023, 0.0003 and $2.1 \times 10^{- 3}$ are

Moderate

A

5, 1, 2
B

5, 1, 5
C

5, 5, 2
D

4, 4, 2

Solution

The reliable digit plus the first uncertain digit is known as significant figures.
For the number 23.023, all the non-zero significant, hence 5.
For the number 0.0003, number is less than 1, the zero(s) on the right of decimal point but to the left of the first non-zero digit are not significant, hence 1.
For the number $21 \times 10^{- 3}$ , significant figures are 2.

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