Interpretation:
Numbers 10, 100 and 1000 are to be presented in scientific notations with 2, 3 and 4 significant figures, respectively.
Concept introduction:
Numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.
Scientific notations are generally expressed as follows:
Where,
- n is the number of places the decimal has moved and is known as an exponent.
- m is the number.
An example is 55000 is represented as
To exactly determine the uncertainty in final answer of a measurement, significant digits are calculated.
The rules for counting the significant digits will be as follows:
- Numbers that are non-zero are significant digits.
- The zeros preceding numbers that are non-zero are non-significant as they only define the place of decimal.
- The zeros in between numbers that are non-zero are also significant.
- The zeros after numbers that are non-zero are significant only if the decimal is present in the number.

Answer to Problem 37PP
Numbers 10, 100 and 1000 in scientific notations with 2, 3 and 4 significant figures, respectively, are
Explanation of Solution
Numbers 10, 100 and 1000 in scientific notations with 2, 3 and 4 significant figures, respectively can be represented as follows:
Numbers 10, 100 and 1000 in scientific notations with 2, 3 and 4 significant figures, respectively, are
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