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Comparing Quantities - 2 Video Lecture | Mathematics for Grade 8

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FAQs on Comparing Quantities - 2 Video Lecture - Mathematics for Grade 8

1. What is the concept of comparing quantities in mathematics?
Ans. Comparing quantities in mathematics involves determining the relationship between two or more quantities to identify which is greater, smaller, or equal to the other. It helps in making comparisons and analyzing the differences or similarities between different quantities.
2. How can we compare two quantities using the ratio method?
Ans. To compare two quantities using the ratio method, we need to find the ratio of the two quantities by dividing one quantity by the other. If the ratio obtained is greater than 1, it means the first quantity is greater. If the ratio is less than 1, it means the second quantity is greater. If the ratio is equal to 1, it means both quantities are equal.
3. What is a percentage and how can we compare quantities using percentages?
Ans. A percentage is a fraction expressed as a part of 100. To compare quantities using percentages, we can find the percentage of each quantity and compare the percentage values. The quantity with a higher percentage is considered to be greater. For example, if one quantity has a percentage of 80% and another has a percentage of 60%, the first quantity is greater.
4. Can we compare quantities of different units?
Ans. Yes, we can compare quantities of different units by converting them into a common unit. For example, if one quantity is given in kilograms and another quantity is given in grams, we can convert both to grams and then compare them. It is important to ensure that the conversions are done accurately to make a valid comparison.
5. How can we compare quantities using the concept of profit and loss?
Ans. To compare quantities using the concept of profit and loss, we need to consider the selling price and cost price of the items. If the selling price is greater than the cost price, it indicates a profit. If the selling price is less than the cost price, it indicates a loss. By calculating the profit or loss percentage, we can compare the profitability between different quantities.
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