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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
All textbooksBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 45b
Chapter 1, Problem 45b

What is the number of significant figures in each of the following measured quantities? (b) 3ⅹ10-6 m

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1
Identify the significant figures in the given number: 3\(\times\)10^{-6} m.
In scientific notation, the coefficient (the number before the multiplication sign) determines the significant figures.
The number '3' in the coefficient '3' has one significant figure.
The exponent '-6' in the scientific notation does not affect the number of significant figures.
Therefore, the number 3\(\times\)10^{-6} m has one significant figure.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and ensuring that calculations reflect the precision of the data.
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Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is represented as a product of a number between 1 and 10 and a power of ten. For example, 3 x 10^-6 m indicates a very small measurement, and understanding this format helps in identifying significant figures in such expressions.
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Rules for Counting Significant Figures

There are specific rules for counting significant figures in measurements. For example, in scientific notation, all digits in the coefficient (the number before the exponent) are significant. Therefore, in the example 3 x 10^-6 m, the '3' is the only significant figure, leading to a total of one significant figure in this measurement.
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