CBSE Class 10 Mtahs solution Real Numbers Exercise 1.1 | NCERT Solutions Real Numbers

http://www.learncbse.in/ncert-class-10-math-solutions/

http://www.learncbse.in/ncert-solutions-class-10th-maths-chapter-1-real-numbers/

http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-1-real-numbers/

This video demonstrates how to find HCF using Euclid’s division lemma or Euclid’s division algorithm.Statement of Euclid’s division algorithm and its appliction to solve word problems is illustratedin detail.Generalised results are proven by Euclid’s division algorithm.

Euclid’s Division Lemma : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 = r is less than b.

A lemma is a proven statement used for proving another statement.

Euclid’s division algorithm is a technique to compute the Highest Common Factor HCF of two given positive integers. Recall that the HCF of two positive integers a and b is the largest positive integer d that divides both a and b .

Euclid’s division algorithm

To find the HCF of two positive integers, say c and d, with c is greater than d, followthe steps below:

Step 1 : Apply Euclid’s division lemma, to c and d . So, we find whole numbers, q andr such that c = dq + r , 0 = r is less than d .

Step 2 : If r = 0, d is the HCF of c and d . If r not zero 0, apply the division lemma to d and r .

Step 3 : Continue the process till the remainder is zero. The divisor at this stage will be the required HCF.

CBSE Class 10 maths solutions real numbers Ex 1.1

00:02 Q1. Use Euclid’s division algorithm to find the HCF of :

00:08 (ii) 196 and 38220 HCF

00:16 Euclid’s Division Algorithm:

00:27 Step 1 : Apply Euclid’s division lemma, to c and d . So, we find whole numbers, q and r such that c = dq + r , 0 = r is less thand .

00:34 Step 2 : If r = 0, d is the HCF of c and d . If r not zero 0, apply the division lemma to d and r .

01:54 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.1 Q3. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

03:05 use given condition

03:22 Analyse the question.Find HCF

03:36 Apply Euclid’s Division Algorithm to find HCF

03:42 Step 1 : Apply Euclid’s division lemma, to c and d . So, we find whole numbers, q and r such that c = dq + r , 0 = r is less than d .

03:55 Step 2 : If r = 0, d is the HCF of c and d . If r not zero 0, apply the division lemma to d and r .

04:42 Step 3 : Continue the process till the remainder is zero. The divisor at this stage will be the required HCF.

05:30 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.1 Q4. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3 m + 1 for some integer m. [ Hint : Let x be any positive integer then it is of the form 3 q, 3 q + 1 or 3q + 2. Now square each of these and show that they can be rewritten in the form 3m or 3 m + 1.]

06:52 Euclid’s Division Algorithm

07:43 consider the case for r=0

08:41 Take r=1

10:14 consider the case for r=3

12:02 Result proved

12:12 NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.1 Q5. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9 m, 9 m + 1 or 9m + 8.

12:40 Note down the values of a , b in Euclid’s division lemma.

13:22 use Euclid’s division lemma

13:57 consider the case for r=0

14:48 Take r=1

16:43 consider the case for r=3

Follow us:

On Twitter

https://twitter.com/cbseguesspapers

Linkedin

https://www.linkedin.com/profile/view?id=396397973&trk=nav_responsive_tab_profile

Pinterest

https://in.pinterest.com/LearnCBSE/

Facebook

https://www.facebook.com/cbseguesspapers

Youtube LearnCBSE.in

https://www.youtube.com/user/CBSEPapers

Wordpress

https://cbselabs.wordpress.com/

learncbse.in

CBSE solutions for class 10 maths Chapter 1 Real Numbers Exercise 1.4

CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.2 | Euclid Division Lemma

CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers

Solutions for CBSE class 10 Maths Real Numbers

NCERT solutions for class 10 maths Real Numbers

NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.1

CBSE class 10 maths Solutions Real Numbers Exercise 1.4

Common core Math Real Numbers

ICSE Class 10 Maths

Tagged under: ncert solutions,learncbse.,gyanpub,ICSE Class 10 Maths,Real Numbers,Common core Math,CBSE solutions class 10 maths,NCERT solutions class 10 maths,Apply Euclid’ Division Algorithm, find HCF, Euclid’ division lemma,CBSE class 10 maths NCERT Solutions,Real Numbers Exercise

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!