What is meant by significant figures? State the rules of finding the significant figures in the sum, difference, product and quotient of two numbers. Support your answer with examples.

 

A jeweller puts a diamond weighing $4.31 \mathrm{g}$ in a box weighing $1.5 \mathrm{Kg}$. Find the total weight up to appropriate number of significant figures.

Add the following with due consideration of significant figures.

$3.8\times {10}^{-8}+4.2\times {10}^{-6}$

Add the following with due consideration of significant figures.

$3.8\times {10}^{-7}+4.2\times {10}^{-6}$

Add the following with due consideration of significant figures.

$4.22\times {10}^5+3.11\times {10}^7+6.006\times {10}^6$

Add the following with due consideration of significant figures.

$1.294 \mathrm{cm}+35.1 \mathrm{cm}$

Add the following with due consideration of significant figures.

$348.2 \mathrm{K}m+105 \mathrm{Km}+143.8 \mathrm{Km}$

Add the following with due consideration of significant figures.

$1.5 \mathrm{Kg}+264 \mathrm{g}+52 \mathrm{mg}$

Subtract the following with due consideration of significant figures.

$5.0\times {10}^{-4}-2.5\times {10}^{-6}$