Question

rules for multiplying and dividing: the answer has the same number of significant figures as the quantity with the fewest significant figures. example: 7.5 cm x 3.401 cm = 25.5075 cm² = 26 cm² (round to 2 sig figs) 1) 8.00 g / 5.4 ml = 2) 0.000403 m x 7.0 m = 3) 90.0000 m / 2.60x10³ s =

Explanation:

Step1: Identify significant - figures

For \(8.00\ g/5.4\ mL\), \(8.00\) has 3 significant figures and \(5.4\) has 2 significant figures.

Step2: Perform division

\(8.00\div5.4=\frac{8.00}{5.4}\approx1.48148\).

Step3: Round to 2 significant figures

\(1.48148\approx1.5\ g/mL\).

Step4: For \(0.000403\ m\times7.0\ m\)

\(0.000403\) has 3 significant figures and \(7.0\) has 2 significant figures.

Step5: Perform multiplication

\(0.000403\times7.0 = 0.002821\ m^{2}\).

Step6: Round to 2 significant figures

\(0.002821\approx0.0028\ m^{2}\).

Step7: For \(90.0000\ m/2.60\times10^{3}\ s\)

\(90.0000\) has 6 significant figures and \(2.60\times 10^{3}\) has 3 significant figures.

Step8: Perform division

\(\frac{90.0000}{2.60\times 10^{3}}=\frac{90.0000}{2600}\approx0.034615\ m/s\).

Step9: Round to 3 significant figures

\(0.034615\approx0.0346\ m/s\).

Answer:

1. \(1.5\ g/mL\)
2. \(0.0028\ m^{2}\)
3. \(0.0346\ m/s\)