Question

How do you write a decimal that is \[\dfrac{1}{{10}}\] of \[3.0\]?

Answer 1

Hint: Here, we will multiply the given fraction with the given decimal number to obtain a fraction. Then we will divide the numerator by the denominator to get the required decimal number. A decimal number is defined as a number that consists of a whole number part and a fractional part separated by a decimal point.

Complete step by step solution:
The given decimal number can be written as
 \[3.0 = \dfrac{{30}}{{10}} = 3\]
Also, in the question, ‘of’ means to multiply
Thus, we can write \[\dfrac{1}{{10}}\] of \[3.0\] as:
\[\dfrac{1}{{10}} \times 3 = \dfrac{3}{{10}}\]
Here, there is only 1 zero in the denominator. Thus, in order to convert this fraction into a decimal, we will put a decimal point after 1 digit starting from the unit’s place.
Thus, after converting this fraction into a decimal, we get,
\[ \Rightarrow \dfrac{1}{{10}} \times 3 = 0.3\]

Therefore, \[0.3\] is the required decimal that is \[\dfrac{1}{{10}}\] of \[3.0\].

Additional information:
There are three main types of fractions i.e. proper fractions, improper fractions, and mixed fractions. A proper fraction is a fraction having the numerator less or lowers in degree, than the denominator. The value of proper fraction after simplification is always less than 1. An improper fraction is a fraction where the numerator is greater than or equals to the denominator, then it is known as an improper fraction. A mixed Fraction is the combination of a natural number and fraction.

Note:
An alternate way of solving this question is to directly solve using the decimals.
Since, we are required to find the value of: \[\dfrac{1}{{10}}\] of \[3.0\] i.e. \[\dfrac{{3.0}}{{10}}\]
Now, when a decimal number is being divided by 10, then, since the number 10 is having only 1 zero and it is dividing the decimal number, thus, we will shift the given decimal point from its respective place towards its left and by just 1 digit.
Therefore, directly we can write the quotient as: \[\dfrac{{3.0}}{{10}} = 0.3\]
Therefore, \[0.3\] is the required decimal that is \[\dfrac{1}{{10}}\] of \[3.0\].