M L Aggarwal Solutions for Chapter: Exponents and Powers, Exercise 1: Exercise

The speed of light is $300,000,000 \mathrm{m}/\sec$. The standard form of $300,000,000$ is $3.0\times {10}^k$. Find the value of $k$.

Mass of the earth is $5,970,000,000,000,000,000,000,000 \mathrm{kg}$. The standard form of $5,970,000,000,000,000,000,000,000$ is$k\times {10}^{24}$. Find the value of $k$.

Express the number appearing in the following statement in standard form:

Express $3$ years in seconds.

Express the number appearing in the following statement in standard form:

Express $7$ hectares in ${\mathrm{cm}}^2$.

A sugar factory has annual sales of $3$ billion $720$ million kilograms of sugar. The standard form of $3$ billion $720$ million is $k\times {10}^9$. Find the value of $k$.

The number of red blood cells per cubic millimetre of blood is approximately $5.5$ million. If the average body contains $5$ litres of blood, what is the total number of red cell in the body? $(1$ litre $=1,00,000 {\mathrm{mm}}^3)$. If the total number f blood cells in the body is $k\times {10}^{12}$. Find the value of $k$.

Mass of Mars is $6.42\times {10}^{29} \mathrm{kg}$ and the mass of the sun is $1.99\times {10}^{30} \mathrm{kg}$. What is the total mass?

A particular star is at a distance of about $8.1\times {10}^{13} \mathrm{km}$ from the Earth. Assuming that the light travels at $3\times {10}^8 \mathrm{m}/\sec$ and it takes $a\times {10}^k \sec$ from that star to reach the Earth, where $1\le a\le 9$ and $k$ is an integer, then find the value of $k$.