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The section elaborates on ratios and percentages, presenting various methods to compare different quantities effectively. It includes examples of real-life applications like calculating the cost per head for an outing and determining percentages of a total, reinforcing these concepts through exercises and discussions.
In this section, we explore how to compare quantities using ratios and percentages. Ratios express the relationship between two quantities, while percentages are used to indicate a number as a fraction of 100. For instance, the section illustrates calculating the percentage of fruits in a basket and delves into practical problems involving class participation and costs associated with a picnic. By applying the unitary method and various calculations, students learn how to determine ratios and percentages in different contexts. The significance of these concepts is highlighted through exercises and real-world scenarios, encouraging critical thinking and application of mathematics in daily life.
Ratios: Used to compare two quantities.
Percentages: Express a quantity as a fraction of 100.
Unitary Method: A method for solving problems based on finding a single unit value.
To find a ratio, oh so neat, count the parts that you can meet.
Imagine a fruit market where for every banana, there are four apples. That’s the tale of the apples and bananas, representing a ratio of 1:4.
To remember how to find percentages, think P-ART (Part, All, Rate × 100).
In a class of 30 students, if 60% are girls, then the number of girls is 18.
If there are 5 oranges in a basket of 25 fruits, the percentage of oranges is 20%.
Term: Ratio
Definition: A comparison of two quantities, expressed as 'a to b' or a:b.
A comparison of two quantities, expressed as 'a to b' or a:b.
Term: Percentage
Definition: A way of expressing a number as a fraction of 100.
A way of expressing a number as a fraction of 100.
Term: Unitary Method
Definition: A method of solving problems by finding the value of a single unit first.
A method of solving problems by finding the value of a single unit first.
Term: Fraction
Definition: A way to represent a part of a whole, expressed as a/b.
A way to represent a part of a whole, expressed as a/b.