Percentage
Percentage
The Percentage for Class 5 Math
A percentage is a form of a fraction; we represent it in fraction form. Here students will learn how to find percentages.
In this learning concept, the students will also learn to
- Classify the percentage symbol.
- Evaluate how to find the percentage of a number, percentage to fraction conversion.
- Identify how to convert decimals to percent and how to convert percent to decimals.
Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.
Download the percentage worksheet for class 5 and check the solutions to the percentage questions for class 5 provided in PDF format.
Percentage Introduction:
In our surroundings, we see (%) this symbol many times.
- What does this % Symbol Represent?
%- Symbol represents a percentage.
- Percentage Meaning
- We have learned Fractions. A fraction Fractions. A fraction with a denominator 100 is called a Percentage.
- Percentage is represented by the symbol %.
- The word ‘Percent’ has the meaning:
- In the above figure, out of 100 boxes there are 34 boxes are coloured.
- We can represent coloured part by the fraction as 34/100
- We can also say that 34% part of the figure is coloured.
- So, 34% means 34 per 100.
- Reading-
We read 34% as ‘34 percent’. This means the symbol % is read as percent.
- How to Find Percentage?
- Divide that object into 100 equals parts.
- Out of these 100 parts, we can easily get the given percentage amount.
Example: Colour 25% part of the square.
We can show 25% coloured part of the square as below:
There are total 100 boxes out of which 25 boxes are coloured.
- ï‚·Percent Can Express in-
- Fraction
- Decimal
Example:
20 percent written as → 20%(In the form of Percent)
- 20% means ‘20 per hundred’. So, 20 out of 100 written as:
20%= 20/100→ (In the form of Fraction) - If we convert the above fraction into a decimal, we get:
- Percent always represents the denominator as 100.
- While converting a given percentage into decimal, we have to put a decimal point after two digits from the right.
- Conversion
- Percentage to Fraction Conversion:
Divide the percent by 100.
Example:
Write 44% in the form of fraction.
Solution:
44% = 44/100
- How to Convert Percent to Decimals?
Convert percent to fraction and then decimal
Example:
Write 74% in the form of decimal.
Solution:
74% = 74/100 = 0.74
-
- How to Convert Decimal to Percent?
Multiply fraction/decimal by 100
Example:
Write 72/100 in the form of percent.
72/120 x 100
= 72/6 x 5 …(Divide 120 and 100 by 20.)
= 12/1x 5 ...(Divide 72 and 6 by 6.)
= 60%
- ï‚·Concept of Whole, Half and Quarter in the Form of Percentage
- Whole
It is difficult to divide a circle into 100 parts.
So, we can find equivalent fraction of
The 100% part of the circle can be represented as:
- Half
(Divide both numerator and denominator by HCF of 50 and 100 = 50)
The 50% part of the circle can be represented as:
- Quarter
(Divide both numerator and denominator by HCF of 25 and 100 = 25)
The 25% part of the circle can be represented as:
- How to Find Percentage of a Number?
- Represent the given percent into the fraction.
- Multiply that fraction and the given number.
Example:
Find the 10% of 80.
Step 1:Convert 6% into a fraction.
- 10% = 10/100
Step 2: Multiply the fraction by 80.
= 10/5 x 4
= 2 × 4
= 8
So, 8 is the 10% of 80.
- Difference between the words- ‘Percent’ & ‘Percentage’.
- Percentage is the final answer or quantity we get when we determine the percent of any number.
Example 1:
If we find out 10% of 60, we get
Here, 10 percent of the 60 is 6; 6 is the percentage.
Example 2:
If Sanju got 170 marks out of 200, he gets
Here, 85 is the percentage that Sanju has got.
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