Indicate the number of significant figures in each of the...

Indicate the number of significant figures in each of the following: a. This book contains more than 1000 pages. b. A mile is about $5300 \mathrm{ft}$. c. A liter is equivalent to $1.059$ qt. d. The population of the United States is approaching $3.0 \times 10^{2}$ million. e. A kilogram is $1000 \mathrm{~g}$. f. The Boeing 747 cruises at around $600 \mathrm{mi} / \mathrm{h}$.

Indicate the number of significant figures in each of the following:
a. This book contains more than 1000 pages.
b. A mile is about $5300 \mathrm{ft}$.
c. A liter is equivalent to $1.059$ qt.
d. The population of the United States is approaching $3.0 \times 10^{2}$ million.
e. A kilogram is $1000 \mathrm{~g}$.
f. The Boeing 747 cruises at around $600 \mathrm{mi} / \mathrm{h}$.

Key Concepts

Rules for Zeros

The rules for determining which zeros are significant depend on their position in a number. Leading zeros do not count, captive (or embedded) zeros are always significant, and trailing zeros are significant only if there is a decimal point. These rules are essential for correctly interpreting the precision of a number.

Scientific Notation

Scientific notation is a way to express very large or very small numbers using a coefficient and a power of ten. This format clearly indicates significant figures by isolating the significant digits in the coefficient, making it easier to identify the precision of the measurement.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. They include all the non?zero digits, any zeros between them, and, in certain cases, trailing zeros, thereby conveying the accuracy of a measured or specified quantity.

Measurement Precision

Measurement precision pertains to the exactness of a value as indicated by its number of significant figures. A greater number of significant figures means the value is measured or estimated with higher accuracy, reflecting minor uncertainties or rounding.

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