Significant Figures Allow Us to Estimate Uncertainty in Calculated Values $\times$

question 74

Essay

Significant figures allow us to estimate uncertainty in calculated values.In some circumstances,following significant figure rules can lead to estimates of uncertainty that are too high or low.This is the case for the mathematical expression below.
99 $\times$ 1.02 = 100.98
Following the rules governing significant figures in multiplication,the answer can be rounded to 1.0 $\times$ 10².What is wrong with rounding this answer to two significant figures?

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Definitions:

Strong Generalization

A statement about all members of a group or category that is made on the basis of evidence for some members, assuming it applies universally with little to no exceptions.

Single Instance

A reference to an argument or conclusion drawn from one example or case, which may not be sufficiently representative.

Representative

An individual who acts on behalf of others, typically in a legislative or formal setting, or a sample that accurately reflects the characteristics of a larger group.

Induction

A method of reasoning that moves from specific instances to form general conclusions or theories.