Brief Summary
This video provides a concise overview of fundamental number types, including whole numbers, prime numbers, integers, rational numbers, irrational numbers, real numbers, and fractions. It explains their definitions, properties, and relationships to each other, emphasizing how these number sets are organized and categorized within the broader field of mathematics.
- Defines and differentiates various types of numbers.
- Explains the relationships between different number sets.
- Provides examples to illustrate each concept.
Whole numbers are defined as a set of numbers that include zero and all positive numbers, but not negative numbers. Essentially, they are non-negative integers.
Prime numbers are numbers greater than one that are not divisible by any number other than one and themselves. Zero and one are not considered prime numbers. The smallest prime number is two. Mutually prime numbers are those that have only one as a common factor.
Integers include positive and negative numbers, along with zero. They can be represented on a number line, extending infinitely in both positive and negative directions.
Rational numbers are numbers that can be expressed in the form of p/k, where p represents the numerator and k represents the denominator.
Irrational numbers are numbers that cannot be written in the form of p/k.
Real numbers encompass all rational and irrational numbers, including whole numbers and integers. They form a comprehensive set of numbers.
A fractional number represents a part of a whole, expressed as a numerator divided by a denominator.
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Transcript
Full transcript of “Quantitative & Logical Thinking|✅ Part#1 (Unit-1) (+3 Bsc odisha Semester) #QLT #plus3QLTLessons”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.
0:00 So today we have a good unit one quantitative and logical thinking today we have to ask our people in a special definition and very easily we have asked start korea fast whole number wait fractions and catch small definitions of powder quantitative data interpretation within the state whole number wait restore ration ration numbers fraction ok it is so less family main peak video driver first whole number let us see the whole number you should know the circle hell which circle main whole and from it content do ji including zero with which numbers but here is the negative number which positive numbers including zero
0:52 you are not that infinity is divisible day by day family the right number we have to ask the prime number question like this of zero and one that the prime number nine is zero one we will not call it prime number consider which number one you greater air the right number we were considering prime number the smallest prime number is the smallest prime number alert you prime number of prime I was also mutual prime who was also mutual prime ok I
2:00 can only do common factor of one and I will give R to prime quickly then common number factor if Rohilla which device is divided by number then integers are called positive and negative numbers including zero are called teachers this got number line is within the gotter negative line and gotter is 1 2 3 if positive numbers are zero then simple definition of d numbers including positive numbers and negative numbers with zero is called integers number rational number corner and d numbers which can be written in d form of p / k of I am an kimberlater denominator format
2:52 suppose example root seven camera lucky family neither we have to do right number we have to do rational numbers d set of numbers which can not be written in d form of p by k r called rational number ka we have to do real number very real number if you look at the real number actually a go and see then real number contains set of whole numbers integers rational and Irrational numbers suppose look at the real numbers of book re 12th class it is a circle create a circle with circles quickly
4:00 special numbers which can be included in real numbers real number set is next so the set of types of numbers and d set of numbers containing whole numbers is rational numbers and rational numbers are called real numbers last next which is book re written in other words fractional number is a fraction which is a part of whole so fractional d definition which is in the numerator divided by the denominator form means above numerator will be the number which can be written in numerator and denominator on fraction simple
