Algebraic Operations Based on Significant Figures

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 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  

The final result of the sum of the numbers $523.32,1.21524$ and $107.3$ rounded to correct significant figures 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

The value of $\frac{1}{3+\sqrt{7}}$ correct to one significant digit is $0.2$. (Take $\sqrt{7}=2.646$)

Find the product $2.304\times 23.05$ and find the answer correct to three significant figures.

The number of significant digits in the sum of  $5.76+6.62+35.21$ is _____. (Mention the answer in figures.)

The value of  $4.768-2.876$ correct to two significant figures is $1.9$ .

Calculate $1.23 \mathrm{m} \mathrm{x} 0.89 \mathrm{m}$ and give your answer with the correct number of significant figures.$$

Calculate the answers to the appropriate number of significant figures:

$6.47\times 64.5$

What is the number of significant figures in $433.00$?

Evaluate $3.768-1.876$ corrected to two significant figures.

Evaluate $2.304\times 23.05$ correct to four significant figures.

Solve the following $4.76+5.62+33.21$ and find the number of significant digits/figures.

Evaluate $\frac{1}{3+\sqrt{2}}$ correct to two significant figures. (Take $\sqrt{2}=1.414$)

Evaluate $\frac{12}{\sqrt{5}-1}$ correct to three significant digit. (Take $\sqrt{5}=2.2361$)

Find the sum $0.23+0.234+0.2345$ corrected to three significant figures.

Evaluate $\frac{15}{\sqrt{2}-1}$ correct to four significant digits. (Take $\sqrt{2}=1.414$)

Evaluate $\frac{1}{3+\sqrt{7}}$ correct to one significant digit. (Take $\sqrt{7}=2.646$)

The answer of $(1.0236-0.97268)$ with due regards to significant figure is