Maths Rational Numbers part 20 (Rational Numbers between Rational Numbers) CBSE Class 8

TL;DR

Learn how to find rational numbers between given boundaries and why it is important to have the same denominator.

Transcript

hello friends this video on rational numbers part 20 is brought to you by exam for calm no more fear from exam now let us try this exercise find 20 Nash rational numbers between minus 3 and 1 so we have minus 3 here and we have one here so in between these we have to find out 20 rational numbers so how do we do that now some very commonly seen rati... Read More

Key Insights

• #️⃣ Rational numbers can be found between given boundaries by incrementing by fractions with the same denominator.
• #️⃣ The same denominator ensures comparability and meaningfulness of the rational numbers.
• #️⃣ There are infinitely many rational numbers between any two boundaries.

Questions & Answers

Q: How can we find rational numbers between given boundaries?

Start with the lower boundary and increment by the same fraction until reaching the upper boundary. The fraction used for increment should have the same denominator as both boundaries.

Q: Why is it important for the lower and upper boundaries to have the same denominator?

Having the same denominator ensures that the rational numbers found between the boundaries are comparable and have a meaningful position relative to each other.

Q: Can we find an infinite number of rational numbers between any two boundaries?

Yes, there are infinitely many rational numbers between any two boundaries, as demonstrated by the examples in the video.

Q: What is the four-step learning process offered by ExamForCalm?

The four steps are watching video lessons, asking questions, reading notes, and taking free online tests. These steps help students learn and assess their understanding of various subjects.

Summary & Key Takeaways

• To find 20 rational numbers between -3 and 1, start with -30/10 (equivalent to -3) and increment by 1/10 until reaching 1.

• The same technique can be applied to find rational numbers between any two boundaries as long as the denominators are the same.

• To find 5 rational numbers between 1/4 and 3/8, convert both boundaries to have the same denominator (8) and increment accordingly.