Question

How do you find $ \dfrac{1}{{10}} $ of $ \dfrac{1}{{100}} $ of a meter?

Answer 1

Hint: In order to determine the value of the above question ,use exponent property . But the question arises what is a meter , so the answer to this is that the meter is a length measuring unit $ 1m = 100cm $ . Also the mathematical term ‘ OF ’ gives the sense of performing the multiplication , as per the statement. Using the ‘of ’ states that we are to multiply whenever it is encountered.

Complete step-by-step solution:
To solve the given question, we must understand the Question statement first and with the help of them we are going to rewrite the solution to this .
But we also need to know that the number can be given in the question as per using the articles such as “a” is used which quantifies “1” in question before any measurable unit which specifies the quantity .
First, we are going to rewrite and solve with the help of the question statement .
 $ \dfrac{1}{{10}} \times \dfrac{1}{{100}} \times 1 $ meter .
and we can write it in simplified manner as
 $ \dfrac{1}{{1000}} \times 1 $ meter .
Also we can give the answer in mathematical statement,
 $ \dfrac{1}{{1000}} $ of a meter .
Therefore, $ \dfrac{1}{{1000}} $ or $ 0.001 $ of a meter is the correct answer.

Additional Information:
1. If you want to convert given kilometres into equivalent metres ,simply multiply the kilometres with the number $ 1000 $ and similarly if you want to convert metres into kilometres ,divide the given metres by the number $ 1000 $ .

Note:
1.Lets understand more with another example of the above question.
We have to find the $ \dfrac{1}{4} $ of $ \dfrac{1}{2} $ of a kilometre.
Since, in the statement we have given that ‘a kilometre’ which means a unit/1 kilometre.
‘OF’ gives the sense of multiplication , so forming the equation according to this , we get
 $
= \dfrac{1}{4} \times \dfrac{1}{2} \times 1\,km \\
= 0.25 \times 0.5 \times 1\,km \\
  $ ‘km’ is the abbreviation for kilometre
Simplifying it further, we get
 $ = 0.125\,km $
So the required answer will be $ 0.125\,km $ .
2. Don’t forget to cross check your result.
3.Understand the statement of a question carefully.
4.Standard International (SI) unit to measure distance is metres.
5.Place the units carefully after every result.