
Express \[0.67\] as percentage?
Answer
449.4k+ views
Hint: Convert \[0.67\] by dividing the number by \[100\] into its fractional value, and then multiply the obtained term by \[100\] for converting it into percentage value.
Like, \[0.1\] when converted into fractional value gives \[\dfrac{1}{10}\] and for converting it into percentage value, we need to multiply by \[100\] hence, we will get, \[\dfrac{1}{100}\times 100=10\%\]
Apply this concept to simplify the question.
Complete step by step solution:
As per information given in the question,
As we have to convert \[0.67\] in percentage value,
First converting the decimal value in fractional value,
As we know that, when we convert any decimal value into fractional value, we need to divide the number by \[{{10}^{n}}\] where \[n\] is the number of digits after decimal.
Like in given number there are two digits after decimal,
So, we need to divide the number by \[{{10}^{2}}\] i.e. by \[100\].
Hence, converting the decimal number in fractional value,
We will get,
\[\Rightarrow 0.67=\dfrac{67}{100}\]
Now, for converting the fractional value in percentage value,
We need to multiply the fractional term by \[100\].
Hence, multiplying \[\dfrac{67}{100}\] by \[100\].
We will get,
\[\Rightarrow \dfrac{67}{100}\times 100=67\%\]
Thus, when \[0.67\] is converted in percentage value we will get \[67\%\].
Hence, we can convert any decimal in percentage value.
Note: Convert the given value by dividing it by \[100\] for converting it into fractional value.
Remember, we need to divide the number by \[100\] when a percentage value is converted into fractional value, and we need to multiply the number by \[100\] when we need to convert fractional value in terms of percentage value.
Like, \[0.1\] when converted into fractional value gives \[\dfrac{1}{10}\] and for converting it into percentage value, we need to multiply by \[100\] hence, we will get, \[\dfrac{1}{100}\times 100=10\%\]
Apply this concept to simplify the question.
Complete step by step solution:
As per information given in the question,
As we have to convert \[0.67\] in percentage value,
First converting the decimal value in fractional value,
As we know that, when we convert any decimal value into fractional value, we need to divide the number by \[{{10}^{n}}\] where \[n\] is the number of digits after decimal.
Like in given number there are two digits after decimal,
So, we need to divide the number by \[{{10}^{2}}\] i.e. by \[100\].
Hence, converting the decimal number in fractional value,
We will get,
\[\Rightarrow 0.67=\dfrac{67}{100}\]
Now, for converting the fractional value in percentage value,
We need to multiply the fractional term by \[100\].
Hence, multiplying \[\dfrac{67}{100}\] by \[100\].
We will get,
\[\Rightarrow \dfrac{67}{100}\times 100=67\%\]
Thus, when \[0.67\] is converted in percentage value we will get \[67\%\].
Hence, we can convert any decimal in percentage value.
Note: Convert the given value by dividing it by \[100\] for converting it into fractional value.
Remember, we need to divide the number by \[100\] when a percentage value is converted into fractional value, and we need to multiply the number by \[100\] when we need to convert fractional value in terms of percentage value.
Recently Updated Pages
The correct geometry and hybridization for XeF4 are class 11 chemistry CBSE

Water softening by Clarks process uses ACalcium bicarbonate class 11 chemistry CBSE

With reference to graphite and diamond which of the class 11 chemistry CBSE

A certain household has consumed 250 units of energy class 11 physics CBSE

The lightest metal known is A beryllium B lithium C class 11 chemistry CBSE

What is the formula mass of the iodine molecule class 11 chemistry CBSE

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Given that HCF 306 657 9 find the LCM 306 657 class 9 maths CBSE

The highest mountain peak in India is A Kanchenjunga class 9 social science CBSE

A piece of wire 20 cm long is bent into the form of class 9 maths CBSE

Difference Between Plant Cell and Animal Cell

What is the difference between Atleast and Atmost in class 9 maths CBSE
