Significant figures — practice questions

Question 1 · difficulty L3 · understanding

Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm . Keeping the significant figures in view, the density of the material of the cube can be best expressed as $X \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ where the value of $X$ is:

• A. 7.654
• B. 7.6
• C. 7.65
• D. 7.7

Question 2 · difficulty L3 · understanding

The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $$3.33 \mathrm{~cm}, 3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$$ and $$3.32 \mathrm{~cm}$$. The mean diameter to appropriate significant figures is :

• A. $$3.328 \mathrm{~cm}$$
• B. $$3.3 \mathrm{~cm}$$
• C. $$3.33 \mathrm{~cm}$$
• D. $$3.32 \mathrm{~cm}$$

Question 3 · difficulty L3 · understanding

The area of a rectangular field (in m 2 ) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is

• A. 138 $$\times$$ 10 1
• B. 1382
• C. 1382.5
• D. 14 $$\times$$ 10 2

Question 4 · difficulty L3 · understanding

Taking into account of the significant figures, what is the value of $$9.99 m - 0.0099m$$?

• A. 9.98 m
• B. 9.980 m
• C. 9.9 m
• D. 9.9801 m