Introduction to Percentage Grade 5 Maths Learning Concepts | Orchids
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Percentage

Introduction

In our surroundings, we see (%) this symbol many times.

G5_1_Percentage_Percent
  • What does this % symbol represent?
  • %- Symbol represents a percentage.

  • What is the Percentage?
    • We have learned Fractions. A fraction with a denominator 100 is called a Percentage.
    • Percentage is represented by the symbol %.
    • The word ‘Percent’ has the meaning:
    G5_2_Percentage_Per 100

    G5_3_Percentage_Fraction
    • 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.
    • This implies that,

      G5_4_Percentage_Percentage
  • Reading-
  • We read 34% as ‘34 percent’. This means the symbol % is read as percent.

  • How to find a given percentage of any object?
    • 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:

    G5_5_Percentage_Fraction

    There are total 100 boxes out of which 25 boxes are coloured.

  • Percent can express in-
    1. Fraction
    2. 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:
    1. Percent always represents the denominator as 100.
    2. While converting a given percentage into decimal, we have to put a decimal point after two digits from the right.
    G5_6_Percentage_Conversion
  • Conversion
  • G5_6_Percentage_Conversion
    • Percent to fraction
      • Divide the percent by 100.
      • Example:

        Write 44% in the form of fraction.

        Solution:

        44%=
        44 / 100
    • Percent to decimal
      • Convert percent to fraction and then decimal
      • Example:

        Write 74% in the form of decimal.

        Solution:

        74%=
        74 / 100
        = 0.74
    • Fraction/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 / 1
        x 5 ...(Divide 72 and 6 by 6.)

        = 60%

  • Concept of Whole, half and quarter in the form of Percentage
    • Whole
    • G5_7_Percentage_Whole

      It is difficult to divide a circle into 100 parts.

      So, we can find equivalent fraction of

      100 / 100
      =
      1 / 1
      (Divide both numerator and denominator by 100.)

      The 100% part of the circle can be represented as:

      G5_8_Percentage_Circle
    • Half
    • G5_9_Percentage_Half
      50 / 100
      =
      1 / 2

      (Divide both numerator and denominator by HCF of 50 and 100 = 50)

      The 50% part of the circle can be represented as:

      G5_10_Percentage_Circle
    • Quarter
    • G5_11_Percentage_Quarter
      25 / 100
      =
      1 / 4

      (Divide both numerator and denominator by HCF of 25 and 100 = 25)

      The 25% part of the circle can be represented as:

      G5_12_Percentage_Circle
  • How can we find the percent of the 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 / 100
    x 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

    10 / 100
    x 60 = 6

    Here, 10 percent of the 60 is 6; 6 is the percentage.

    Example 2:

    If Sanju got 170 marks out of 200, he gets

    170 / 200
    x 100= 85%

    Here, 85 is the percentage that Sanju has got.

Did you know?

G5_13_Percentage_Did you know

G5_14_Percentage_Mindmap
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