Class 8 Hindi - TAMILNADU
Aadami Ka Anupat
Adami Ka Anupat (Ratio) is an important chapter in Class 8 mathematics under the Tamil Nadu Samacheer Kalvi syllabus. It introduces students to the concept of comparing two quantities of the same kind using division. This chapter covers finding ratios, simplifying them to their lowest terms, dividing a given quantity in a given ratio, and solving real-world word problems based on proportions. Mastering this chapter is crucial as it builds a strong foundation for advanced topics like percentages, direct and inverse proportions, and commercial arithmetic in higher classes, making it a high-scoring section in board exams.
Start Learning FreeKey Concepts
Ratio (Anupat)
A ratio is a comparison of two quantities of the same units obtained by dividing one quantity by the other. It has no units and is denoted by the symbol ':'.
Simplest Form of a Ratio
A ratio is said to be in its simplest or lowest form if its terms have no common factor other than 1, similar to simplifying a fraction.
Equivalent Ratios
Ratios that obtain the same value when both terms are multiplied or divided by the same non-zero number are called equivalent ratios.
Proportion (Samanupat)
An equality of two ratios is called a proportion. If a:b = c:d, then a, b, c, and d are in proportion, meaning the product of extremes equals the product of means (ad = bc).
Dividing a Quantity in a Given Ratio
To divide a total quantity into parts based on a given ratio, we first find the sum of the ratio terms and then find each part fractionally.
Important Formulas
Board Exam Info
In the Tamil Nadu (Samacheer Kalvi) Class 8 Mathematics examinations, this chapter typically carries around 6 to 10 marks. Questions usually include 1-mark objective questions, 2-mark short answer questions on finding the simplest form of ratios, and 5-mark word problems based on dividing quantities and solving proportions.
Frequently Asked Questions
Do ratios have units like cm or kg?
No, ratios do not have any units because they represent a relative comparison between quantities of the same kind, and the units cancel out during division.
Does the order of terms matter in a ratio?
Yes, the order is very important. The ratio a:b is different from b:a unless both quantities are exactly equal.
How do we compare two different ratios?
To compare two ratios, convert them into fractions with a common denominator (like finding LCM) or convert them into decimals to see which one is larger.
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