Problem 37
Express each number in decimal notation (i.e., express the number without using scientific notation). (a) \(3.22 \times 10^{7}\) (b) \(7.2 \times 10^{-3}\) (c) \(1.18 \times 10^{11}\) (d) \(9.43 \times 10^{-6}\)
Problem 38
Express each number in decimal notation (ie., express the number without using scientific notation). (a) \(1.30 \times 10^{6}\) (b) \(1.1 \times 10^{-4}\) (c) \(1.9 \times 10^{2}\) (d) \(7.41 \times 10^{-10}\)
Problem 43
For each measured quantity, underline the zeros that are significant and draw an \(X\) through the zeros that are not. (a) \(0.005050 \mathrm{~m}\) (b) \(0.0000000000000060 \mathrm{~s}\) (c) \(220,103 \mathrm{~kg}\) (d) \(0.00108\) in.
Problem 44
For each measured quantity, underline the zeros that are significant and draw an \(X\) through the zeros that are not. (a) \(0.00010320 \mathrm{~s}\) (b) \(1,322,600,324 \mathrm{~kg}\) (c) \(0.0001240 \mathrm{in}\). (d) \(0.02061 \mathrm{~m}\)
Problem 45
How many significant figures are in each measured quantity? (a) \(0.001125 \mathrm{~m}\) (b) \(0.1125 \mathrm{~m}\) (c) \(1.12500 \times 10^{4} \mathrm{~m}\) (d) \(11205 \mathrm{~m}\)
Problem 46
How many significant figures are in each measured quantity? (a) \(13001 \mathrm{~kg}\) (b) \(13111 \mathrm{~kg}\) (c) \(1.30 \times 10^{4} \mathrm{~kg}\) (d) \(0.00013 \mathrm{~kg}\)
Problem 47
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}
Problem 48
Correct any entries in the table that are wrong. \begin{tabular}{lc} \hline Quantity & Significant Figures \\ (a) 24 days & 2 \\ (b) \(5.6 \times 10^{-12} \mathrm{~s}\) & 3 \\ (c) \(3.14 \mathrm{~m}\) & 3 \\ (d) \(0.00383 \mathrm{~g}\) & 5 \\ \hline \end{tabular}
Problem 49
Round each number to four significant figures. (a) \(255.98612\) (b) \(0.0004893222\) (c) \(2.900856 \times 10^{-4}\) (d) \(2,231,479\)
Problem 50
Round each number to three significant figures. (a) \(10,776.522\) (b) \(4.999902 \times 10^{6}\) (c) \(1.3499999995\) (d) \(0.0000344988\)