Rational Numbers Chapter 1 Schand smart maths || Exercise 1.1 || #examscore #skgupta #cbsemaths
Title: Understanding Rational Numbers: A Beginner's Guide
Introduction:
Hello everyone, welcome to my channel. In this video, we will be discussing rational numbers. Rational numbers are an essential part of mathematics, and they are used in various fields such as science, engineering, and finance. So, let's dive into the world of rational numbers.
What are Rational Numbers?
Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, they are numbers that can be written in the form of p/q, where p and q are integers, and q is not equal to zero. For example, 2/3, 5/7, and -4/9 are all rational numbers.
Properties of Rational Numbers:
Rational numbers have some unique properties that make them different from other types of numbers. Let's discuss some of these properties.
1. Closure Property: The sum, difference, product, and quotient of two rational numbers are always rational.
2. Commutative Property: The addition and multiplication of rational numbers are commutative. In other words, a + b = b + a and ab = ba.
3. Associative Property: The addition and multiplication of rational numbers are associative. In other words, a + (b + c) = (a + b) + c and a(bc) = (ab)c.
4. Identity Property: The sum of any rational number and zero is the rational number itself. Similarly, the product of any rational number and one is the rational number itself.
5. Inverse Property: Every rational number has an additive inverse and a multiplicative inverse. The additive inverse of a rational number a/b is -a/b, and the multiplicative inverse of a/b is b/a.
Examples:
Let's solve some examples to understand rational numbers better.
1. Add 2/3 and 5/6.
Solution: We need to find a common denominator to add these two fractions. The least common multiple of 3 and 6 is 6. So, we can write 2/3 as 4/6 and 5/6 as 5/6. Now, we can add these two fractions as (4+5)/6 = 9/6. But, 9/6 is not in the simplest form. We can simplify it by dividing both the numerator and denominator by their greatest common factor, which is 3. So, the final answer is 3/2.
2. Multiply -3/4 and 2/5.
Solution: We can multiply these two fractions as (-3/4) x (2/5) = -6/20. But, -6/20 is not in the simplest form. We can simplify it by dividing both the numerator and denominator by their greatest common factor, which is 2. So, the final answer is -3/10.
Conclusion:
Rational numbers are an essential part of mathematics, and they have various applications in real life. In this video, we discussed what rational numbers are, their properties, and solved some examples to understand them better. I hope you found this video informative and helpful. Thank you for watching, and don't forget to like and subscribe to my channel for more such videos.
create with https://writegpt.ai
社交媒体聆听
The 13 BEST AI Tools to Study Smart - Super Learning Tools
After 3 weeks of searching, these are the 13 best AI tools that I personally found most useful as a student. Making flashcards, studying efficiently, faster research.... cutting down on all the passive tasks that waste your time.... we got it all in this one. Enjoy :) Learning better Wisdolia - https://www.wisdolia.com/ Socratic (on istore/google play) - https://socratic.org/ Shiken- https://app.shiken.ai/ Reading efficiently Genei- https://www.genei.io/ WriteGPT- https://writegpt.ai/ Wiseone- https://wiseone.io/ Research faster Consensus- https://consensus.app/search/ Elicit- https://elicit.org/ Improving Productivity Merlin- https://www.merlin.foyer.work/ Notion- https://www.notion.so/product/ai Tome- https://tome.app/ Create Businesses + Projects Mixo- https://www.mixo.io/ Canva (magic design)- https://www.canva.com/magic-design/ Runway- https://runwayml.com/ Chapters⏳ 0:00- Intro 0:31- LEARN BETTER 0:38- Wisdolia 1:11- Socratic 1:42- Shiken 2:35- READ / UNDERSTAND EFFICIENTLY 2:40- Genei 3:32- WriteGPT 3:52- Wiseone 4:38- RESEARCH FASTER 4:41- Consensus 5:33- Elicit 6:00- FAVORITE PRODUCTIVITY TOOLS 6:04- Merlin 6:50- Notion 7:29- CREATE BUSINESSES + PROJECTS 7:33- Mixo 8:13- Canva 8:38- Runway 9:05- Tome 9:25- Final Thoughts ------------------------------- Socials & Links 📣 INSTAGRAM: zain_asiif EMAIL: zainasif2000@gmail.com WEBSITE for IB / A-Level Students: https://www.unlockib.com/ I hope the video added some sort of value to your life... If you enjoyed the video, please show some love and drop a like + comment!! 🌟 Share it with friends that you think would like it or benefit from it too 💥 And subscribe for more videos every week! 🔔
Rational Numbers Chapter 1 Schand smart maths || Exercise 1.1 || #examscore #skgupta #cbsemaths
Title: Understanding Rational Numbers: A Beginner's Guide Introduction: Hello everyone, welcome to my channel. In this video, we will be discussing rational numbers. Rational numbers are an essential part of mathematics, and they are used in various fields such as science, engineering, and finance. So, let's dive into the world of rational numbers. What are Rational Numbers? Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, they are numbers that can be written in the form of p/q, where p and q are integers, and q is not equal to zero. For example, 2/3, 5/7, and -4/9 are all rational numbers. Properties of Rational Numbers: Rational numbers have some unique properties that make them different from other types of numbers. Let's discuss some of these properties. 1. Closure Property: The sum, difference, product, and quotient of two rational numbers are always rational. 2. Commutative Property: The addition and multiplication of rational numbers are commutative. In other words, a + b = b + a and ab = ba. 3. Associative Property: The addition and multiplication of rational numbers are associative. In other words, a + (b + c) = (a + b) + c and a(bc) = (ab)c. 4. Identity Property: The sum of any rational number and zero is the rational number itself. Similarly, the product of any rational number and one is the rational number itself. 5. Inverse Property: Every rational number has an additive inverse and a multiplicative inverse. The additive inverse of a rational number a/b is -a/b, and the multiplicative inverse of a/b is b/a. Examples: Let's solve some examples to understand rational numbers better. 1. Add 2/3 and 5/6. Solution: We need to find a common denominator to add these two fractions. The least common multiple of 3 and 6 is 6. So, we can write 2/3 as 4/6 and 5/6 as 5/6. Now, we can add these two fractions as (4+5)/6 = 9/6. But, 9/6 is not in the simplest form. We can simplify it by dividing both the numerator and denominator by their greatest common factor, which is 3. So, the final answer is 3/2. 2. Multiply -3/4 and 2/5. Solution: We can multiply these two fractions as (-3/4) x (2/5) = -6/20. But, -6/20 is not in the simplest form. We can simplify it by dividing both the numerator and denominator by their greatest common factor, which is 2. So, the final answer is -3/10. Conclusion: Rational numbers are an essential part of mathematics, and they have various applications in real life. In this video, we discussed what rational numbers are, their properties, and solved some examples to understand them better. I hope you found this video informative and helpful. Thank you for watching, and don't forget to like and subscribe to my channel for more such videos. create with https://writegpt.ai
كتابة الأبحاث العلمية باللغة العربية المدعومة بالمراجع و GPT4 بدون انتحال علمي WriteGPT
رابط الموقع https://writegpt.ai/ يهدف هذا الفيديو إلى شرح كيفية استخدام موقع writegpt في كتابة مقالة علمية باللغة العربية مدعومة بالمراجع و GPT4 الاستفسارات الإحصائية بمقابل مادي وليست مجانية رقم الموبيل للتواصل 00201226032477 الأميل للتواصل hussein1262@hotmail.com