Question

How do you write in standard form $ 3 \times {10^5} $ ?

Answer 1

Hint: The number written in the question is in scientific notation, it is a method used for convenient expression of too large or too small numbers in the decimal form. $ N \times {10^m} $ is an example of scientific notation where N lies between 1 and 10 and involves only significant figures. In the given question, we have to convert the number written in scientific notation into standard form, so to do that we simply multiply the decimal number with the power of 10.

Complete step-by-step answer:
In this question, there is no decimal involved so the calculation is easy and we have to write $ {10^5} $ in simplified form and then multiply it with the number 3. Using this information, we can find out the correct answer.
 $ {10^5} $ means 10 multiplied with itself 5 times, so –
 $
  {10^5} = 10 \times 10 \times 10 \times 10 \times 10 \\
   \Rightarrow {10^5} = 100000 \;
  $
So
 $
  3 \times {10^5} = 3 \times 100000 \\
   \Rightarrow 3 \times {10^5} = 300000 \;
  $
Hence, we can write $ 3 \times {10^5} $ in standard notation as $ 300000 $ .
So, the correct answer is “ $ 300000 $ ”.

Note: For writing a number in scientific notation, we first write the digits with decimal, the decimal point is placed after the first digit and the digits after the decimal point are rounded off so that the total number of digits is equal to the number of significant figures (number of significant figures can be found by observing the other numerical values involved in the statement or answer) followed by the multiplication with 10 raised to the power number of digits that decimal places is moved. The given number is written in scientific notation and we have to convert it into the standard notation so we follow the inverse process. This way we can solve all the questions similar to this one.