Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  PPT: Real Numbers

Real Numbers Class 10 PPT

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 4


Check whether 6n can end with the digit 0 for any 
natural number n.
If any number to end with zero, it should be divisible by 
10 or in other words it should be divisible by 2 and 5 as     
10 = 2 × 5
Prime factorization of 
It can be observed that in prime factorization of 6 only 
contains 2 and 3. 
According to uniqueness of Fundamental Theorem of  
Arithmetic prime factorization of 6n will not contain 5.
So there is no natural number for which 6n can end with 
the digit 0 for any natural number n.
Page 5


Check whether 6n can end with the digit 0 for any 
natural number n.
If any number to end with zero, it should be divisible by 
10 or in other words it should be divisible by 2 and 5 as     
10 = 2 × 5
Prime factorization of 
It can be observed that in prime factorization of 6 only 
contains 2 and 3. 
According to uniqueness of Fundamental Theorem of  
Arithmetic prime factorization of 6n will not contain 5.
So there is no natural number for which 6n can end with 
the digit 0 for any natural number n.
Read More
120 videos|463 docs|105 tests

FAQs on Real Numbers Class 10 PPT

1. What are real numbers?
Ans. Real numbers are the set of all rational and irrational numbers, which includes positive and negative numbers, fractions, decimals, and whole numbers. These numbers can be represented on the number line and are used to measure quantities in the real world.
2. What is the difference between rational and irrational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction or ratio of two integers, while irrational numbers cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. Examples of rational numbers include 1/2 and 3/4, while examples of irrational numbers include √2 and π.
3. How can real numbers be classified?
Ans. Real numbers can be classified into different categories based on their properties. These categories include natural numbers (positive integers), whole numbers (non-negative integers), integers (positive and negative numbers), rational numbers (fractions and terminating/ repeating decimals), and irrational numbers (non-repeating, non-terminating decimals).
4. Can you give an example of a real number that is not rational?
Ans. Yes, an example of a real number that is not rational is the square root of 2 (√2). It cannot be expressed as a fraction or ratio of two integers and has a decimal representation that goes on infinitely without repeating.
5. How are real numbers used in real life?
Ans. Real numbers are used in various real-life applications such as measuring distances, time, temperature, money, and quantities. They are also used in scientific calculations, engineering, finance, and many other fields where precise measurements and calculations are required. Real numbers provide a universal language for quantifying and comparing different quantities.
120 videos|463 docs|105 tests
Download as PDF
Explore Courses for Class 10 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
Related Searches

practice quizzes

,

shortcuts and tricks

,

pdf

,

mock tests for examination

,

study material

,

Previous Year Questions with Solutions

,

MCQs

,

Real Numbers Class 10 PPT

,

ppt

,

Sample Paper

,

Viva Questions

,

Exam

,

Semester Notes

,

Real Numbers Class 10 PPT

,

past year papers

,

Free

,

Objective type Questions

,

Real Numbers Class 10 PPT

,

Important questions

,

Extra Questions

,

video lectures

,

Summary

;