Question

Express the number appearing in the following statement in standard form: Express 7 hectares in $c{{m}^{2}}$.

Answer 1

Hint: For solving this question you should know about converting any number from one parameter to another parameter on the same scale. In this problem we will use the area which is 1 hectare in $c{{m}^{2}}$ form. Like this, we will change any one parameter into another parameter.

Complete step by step answer:
According to our question, it is asked of us to express the number appearing in the following statement in standard form: Express 7 hectares in $c{{m}^{2}}$. As we know that we can change any one parameter or any given number of any parameter to another parameter of the same type or same scale. We can change to both of them. If we see some examples for this, we can say that if the length of something is given in meters and that is asked to be changed to kilometres, then it will be calculated by reducing to that with one kilometre and then calculate for the actual length in kilometres. Likewise if that is asked to be converted to the same length in centimetres, then it will be increased for that. And it will be applied the same if that asks for the weight or volume of something. But it will be processed the same for reducing and incrementing this for the given desired parameter and we will multiply that unit parameter with our actual number.
If we see our question, then,
Since we know that: $1\text{hectare}=10000{{m}^{2}}$
And $1m=100cm$
So, if it is asked for 7 hectares, then,
$\begin{align}
  & \text{7hectares}=7\times 10000{{m}^{2}} \\
 & =7\times 10000\times 100\times 100c{{m}^{2}} \\
 & =7.0\times {{10}^{8}}c{{m}^{2}} \\
\end{align}$
So, the answer is $7.0\times {{10}^{8}}c{{m}^{2}}$.

Note: While solving this type of questions you have to keep in mind that during changing one parameter into another parameter of a number, always ensure that the given number is for the same type of parameter, otherwise you can’t change it.