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 $1.059 \mathrm{qt}$. 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 milh.

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 $1.059 \mathrm{qt}$.
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 milh.

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Key Concepts

Scientific Notation

Scientific notation expresses numbers in the form of a coefficient multiplied by a power of ten, making it easier to handle very large or very small quantities while clearly indicating the number of significant figures present. The coefficient in scientific notation directly shows the significant digits of the value.

Significant Figures

Significant figures are the digits in a number that carry meaningful information about its precision. They include all non-zero digits and any zeros that are significant due to their position, either between significant digits or following a decimal point, reflecting the precision of measured or calculated values.

Measurement Precision

Measurement precision relates to the degree to which a measurement is expressed or known, and significant figures indicate that precision. The number of significant figures in a value communicates the certainty of the measurement, with more significant figures indicating a higher degree of precision in the reported number.

Exact Numbers

Exact numbers are values defined without any uncertainty, such as those resulting from counting objects or defined conversion factors. These numbers are considered to have an infinite number of significant figures, meaning their use does not limit the precision of calculations in which they are involved.

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