Maths Rational Numbers part 10 (Rational Numbers between Rational Numbers) CBSE Class 7 Mathematics

TL;DR

Rational numbers can be compared on a number line, and there exists an unlimited number of rational numbers between any two rational numbers.

Transcript

hello friends this video on rational numbers part 10 is brought to you by exam Viacom no more fear from exam so this is how we compare rational numbers now we will see if there exists rational numbers between rational numbers so if I pick two rational numbers and if I ask you do we have rational numbers existing between them then what happens let u... Read More

Key Insights

• #️⃣ Whole numbers and integers have a fixed number of numbers between them, while rational numbers have an unlimited number of rational numbers between them.
• #️⃣ The scope of rational numbers between two given rational numbers can be increased by multiplying the numerator and denominator by a larger number.
• #️⃣ Finding a common denominator allows for the determination of rational numbers between two given rational numbers.
• #️⃣ The number of rational numbers between two given rational numbers can vary depending on the multiplication factor used for the numerator and denominator.
• #️⃣ Rational numbers can be compared and located on a number line.
• #️⃣ Rational numbers can be represented as fractions with a numerator and denominator.
• 🧑‍🏭 Multiplying the numerator and denominator of a rational number by the same factor does not change its value.

Questions & Answers

Q: How many whole numbers exist between 0 and 2?

There is only one whole number between 0 and 2, which is 1.

Q: How many integers exist between -3 and 2?

There are four integers between -3 and 2: -2, -1, 0, and 1.

Q: Do rational numbers have a fixed number of rational numbers between them?

No, there exists an unlimited number of rational numbers between any two rational numbers.

Q: How can the number of rational numbers between two given rational numbers be increased?

By multiplying the numerator and denominator by a larger number, the scope of the rational numbers increases, allowing for the discovery of more rational numbers between two given numbers.

Q: How can the concept of finding rational numbers between two given numbers be applied?

By finding a common denominator and identifying the rational numbers that exist between the given numbers.

Summary & Key Takeaways

• Whole numbers and integers have a fixed number of integers between them, but rational numbers have an unlimited number of rational numbers between them.

• Multiplying the numerator and denominator by a larger number increases the number of rational numbers between two given rational numbers.

• By finding a common denominator, it is possible to determine the rational numbers that exist between two given rational numbers.