Maths Rational Numbers part 12 (Why Learn Properties of Rational Number) CBSE Class 8

TL;DR

Learn how to simplify rational number calculations using properties like commutative, associative, and distributive in order to make calculations easier.

Transcript

hello friends this video on rational numbers part 12 is brought to you by exam fyodor comp normal fear from exam so with this we have discussed all the for-profits closures commutative associative and distributive now the most important thing now you might say that why at all are we learning about these properties how are we going to help us why do... Read More

Key Insights

• #️⃣ Understanding properties of rational numbers (like commutative, associative, and distributive) can simplify calculations and make the process easier.
• 😒 By rearranging terms and making use of these properties, we can avoid the tedious task of calculating the least common multiple (LCM).
• ⌛ The method using properties is more efficient and can save time when solving rational number calculations.
• 👻 Learning and applying these properties allows us to approach calculations in a systematic and organized manner.
• #️⃣ The traditional method of solving rational number calculations involves multiplying each pair of rational numbers and then adding or subtracting the terms.
• 😑 The method with properties involves rearranging terms, simplifying expressions, and applying properties like commutative and distributive in order to simplify calculations.
• 💄 Using properties makes calculations more manageable and helps us avoid errors or mistakes in the process.

Questions & Answers

Q: Why should we learn properties of rational numbers?

Learning the properties of rational numbers helps us simplify calculations and make them easier. It allows us to rearrange terms and apply properties like commutative, associative, and distributive, making calculations more efficient.

Q: How does the traditional method of solving rational number calculations work?

The traditional method involves multiplying each pair of rational numbers, then adding or subtracting the respective terms. It often requires finding the least common multiple (LCM) and can be tedious.

Q: What is the advantage of using the method with properties?

Using properties like commutative, associative, and distributive allows us to rearrange terms and simplify calculations. It eliminates the need for calculating the LCM, making the process easier and more efficient.

Q: Can you provide an example of simplifying a rational number calculation using properties?

Sure! Let's consider the problem: 2/5 * (-3/7) - 1/14 - (3/7 * 3/5). By rearranging terms and applying properties, we get: 2/5 * (-3/7) + (-3/7 * 3/5) - 1/14. Then, we simplify each term and calculate the answer.

Summary & Key Takeaways

• This video discusses the importance of learning properties of rational numbers and how they can help simplify calculations.

• It provides an example problem and shows two different methods of solving it: the traditional method and the method using properties.

• By rearranging terms and making use of the commutative, associative, and distributive properties, the method using properties proves to be easier and more efficient.