Maths Comparing Quantities part 2 (Ratio and Percentage) CBSE Class 8 Mathematics VIII

TL;DR

This video explains the concepts of ratios and percentages and how they are used to compare quantities.

Transcript

hello friends this video on comparing quantities part two is brought to you by exam co calm no more theorem exam the first concept that strikes our mind when we talk about comparing quantities is ratio so ratio is a comparison of in quantities so what exactly do we how do we have Express ratios I'd say that these these are the two girls let's call ... Read More

Key Insights

• 😑 Ratios are a comparison of in quantities expressed as a fraction or multiple.
• 🥳 Units of measurement must be the same when comparing ratios.
• ❓ Percentages represent a fraction of a total amount and can be used to compare different quantities.
• ❓ Percentages are derived from fractions with a denominator of 100.

Questions & Answers

Q: What is a ratio and how is it expressed?

A ratio is a comparison of quantities and is expressed as either a fraction or a comparison of multiples. For example, the ratio of the heights of A and B can be expressed as 150 cm:113 cm or 150/113.

Q: How do you compare ratios when the units are different?

When the units are different, it is necessary to convert one of the quantities to match the other unit. This ensures that both quantities are being compared on the same scale.

Q: What is a percentage and how is it calculated?

A percentage represents a fraction of a whole, where the whole is typically represented as 100. It is calculated by dividing the numerator by the denominator and multiplying by 100. For example, if a person scored 70 out of 100 in a math test, their percentage score would be 70%.

Q: How are ratios and percentages useful in comparing quantities?

Ratios and percentages allow us to compare quantities and understand proportions. They are particularly useful when the total amount or unit of measurement varies, as they provide a standardized way to compare different quantities.

Summary & Key Takeaways

• Ratios are a way to compare quantities, expressed as the relationship between two values. They can be expressed as a fraction or as a comparison of multiples.

• When comparing ratios, it is important to ensure that the units of measurement are the same.

• Percentages represent a fraction of a total amount. They are useful for understanding proportions and comparing quantities.