Significant Figures

The number of significant figures for the three number $161\mathrm{cm}, 0.161\mathrm{cm}, 0.0161\mathrm{cm}$  are:

The side of a cube is measured by vernier callipers ($10$ divisions of a vernier scale coincide with $9$ divisions of main scale, where $1$ division of main scale is $1 \mathrm{mm}$ ). The main scale reads $10 \mathrm{mm}$ and first division of vernier scale coincides with the main scale. Mass of the cube is $2.736 \mathrm{g}$. Find the density of the cube in appropriate significant figures.

The side of a cube is measured by vernier calipers ($10$ divisions of a vernier scale coincide with $9$ divisions of main scale, where $1$ division of main scale is $1 \mathrm{mm}$). The main scale reads $10 \mathrm{mm}$ and first division of vernier scale coincides with the main scale. Mass of the cube is $2.736 g$. Find the density of the cube in appropriate significant figures.

What is the number of significant figures $(3.20 +4.80) \times {10}^5$

 The radius of a cylindrical wire is measured by screw gauge is $1.25 \mathrm{mm}$. The length of wire is $25.0 \mathrm{cm}$ and the mass of wire is $12 \mathrm{g}$. The density of wire is  

Simplify and round to the appropriate number of significant digits.

(a) $16.235\times 0.217\times 5$

(b) $1247+134.5+450+78$

The most significant digit in the measurement of a length reported as $41.68 \mathrm{cm}$ is 

If $N_A,N_B$ and $N_C$ are the number of significant figures in $A=0.001204 \mathrm{m}, B=43120000 \mathrm{m}$,  and $C=1.200 \mathrm{m}$ respectively then

How many significant figures are present in $1000.00$.

A student measures two quantities $A=\left(10.0\pm 0.2\right)\mathrm{m}$ and $B=\left(20.0\pm 0.2\right)\mathrm{m}$. The correct value of $\sqrt{AB}$ is

The length and breadth of a metal sheet are $3.124 \mathrm{m}$ and $3.002 \mathrm{m}$ respectively. The area of this sheet upto four correct significant figure is

Find the order of magnitude of the number of atoms in $1 {\mathrm{cm}}^3$ of a solid. Given that the diameter of an atom is about ${10}^{-10} \mathrm{m}$.

A simple pendulum makes $100\text{ oscillations in }25 \mathrm{s}$. What is the frequency of the pendulum correct to the significant figures ?

The diameter of a sphere is $1.23 \mathrm{m}$. Find its volume with due regard to the significant figures.

Solve this with regard to the correct significant figures: $\frac{2.35\times {10}^3-1.2\times {10}^3}{2.0\times {10}^2}$

Solve this with regard to the correct significant figures : $\sqrt{4.8-2.35}$

Round off to three significant figures.

$28457 \mathrm{m}$

Round off to three significant figures.

$9.835 \mathrm{cm}$

Round off to three significant figures.

$9.745$