Correct any entries in the table that are wrong. Quantity Significant Figures (a) 895675

step 1 Okay, problem 46, we see the 6 -fits and we correct in the table. So 47 quantity, significant fi

Correct any entries in the table that are wrong. Quantity ...

Correct any entries in the table that are wrong.
\begin{tabular}{lc}
\hline Quantity & Significant Figures \\
(a) $895675 \mathrm{~m}$ & 6 \\
(b) $0.000869 \mathrm{~kg}$ & 6 \\
(c) $0.5672100 \mathrm{~s}$ & 5 \\
(d) $6.022 \times 10^{23}$ atoms & 4 \\
\hline
\end{tabular}

Key Concepts

Measurement Precision

Measurement precision relates to the degree of exactness with which a quantity is determined and often corresponds to the number of significant figures reported. It is critical in science and engineering as it communicates the reliability of the measurements and calculations based on them.

Scientific Notation

Scientific notation is a method of expressing very large or very small numbers in a compact form where a number is written as a product of a coefficient and a power of ten. It is particularly useful for clearly indicating the number of significant figures, as the coefficient explicitly shows the significant digits.

Significant Figures

Significant figures refer to the digits in a number that carry meaningful information about its precision. They are used to indicate the certainty or uncertainty in a measured quantity and are essential for ensuring that calculations are not over- or under-representing the precision of measurements.

Rules for Counting Significant Figures

The rules for counting significant figures determine which digits in a number are reliable. Key rules include that all nonzero digits are significant, zeros between significant digits are significant, leading zeros are not significant, and trailing zeros are significant if they appear after a decimal point. These rules help in properly expressing the accuracy of numerical values.

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