Mathura Name Aman Chaudhary Class 8 th Section
![Mathura. Name: Aman Chaudhary Class: 8 th Section: B Mathura. Name: Aman Chaudhary Class: 8 th Section: B](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-1.jpg)
![Vedic Ganit: - Introduction: Vedic Ganit is the collection of easy mathematic sutra by Vedic Ganit: - Introduction: Vedic Ganit is the collection of easy mathematic sutra by](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-2.jpg)
![Vedic Ganit help me in my mathematics syllabus in following Topic: ü Multiplication ü Vedic Ganit help me in my mathematics syllabus in following Topic: ü Multiplication ü](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-3.jpg)
![Multiplication: - In multiplication Two Sutra are use. The Sutra are: - 1. Nikhilam Multiplication: - In multiplication Two Sutra are use. The Sutra are: - 1. Nikhilam](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-4.jpg)
![Example by Urdhva-tiryagbhyam: v 12 multiply by 11. By General method. By Vedic Ganit Example by Urdhva-tiryagbhyam: v 12 multiply by 11. By General method. By Vedic Ganit](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-5.jpg)
![Division: In division, we are use Dhwajanka method. For example : v 98374 divided Division: In division, we are use Dhwajanka method. For example : v 98374 divided](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-6.jpg)
![Square: We are use Yavdunam Sutra to calculate square. For Example: v. Square of Square: We are use Yavdunam Sutra to calculate square. For Example: v. Square of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-7.jpg)
![v. Square of 113. =126/169 =12769 There number is larger than nearest base. So, v. Square of 113. =126/169 =12769 There number is larger than nearest base. So,](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-8.jpg)
![Cube: We are use Yavdunam Sutra to calculate cube. For Example: v Cube of Cube: We are use Yavdunam Sutra to calculate cube. For Example: v Cube of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-9.jpg)
![v. Cube of 996. = 988/048/064 =988047936 In this method, first, we find nearest v. Cube of 996. = 988/048/064 =988047936 In this method, first, we find nearest](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-10.jpg)
![Cube root: For example: v Cube root of 32768. Step 1 From groups of Cube root: For example: v Cube root of 32768. Step 1 From groups of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-11.jpg)
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![Mathura Name Aman Chaudhary Class 8 th Section B Mathura. Name: Aman Chaudhary Class: 8 th Section: B](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-1.jpg)
Mathura. Name: Aman Chaudhary Class: 8 th Section: B
![Vedic Ganit Introduction Vedic Ganit is the collection of easy mathematic sutra by Vedic Ganit: - Introduction: Vedic Ganit is the collection of easy mathematic sutra by](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-2.jpg)
Vedic Ganit: - Introduction: Vedic Ganit is the collection of easy mathematic sutra by which we can solve mathematical question/problems easily. We also find solution orally. It help me in examination time to calculate multiplication, division etc. in less time.
![Vedic Ganit help me in my mathematics syllabus in following Topic ü Multiplication ü Vedic Ganit help me in my mathematics syllabus in following Topic: ü Multiplication ü](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-3.jpg)
Vedic Ganit help me in my mathematics syllabus in following Topic: ü Multiplication ü Division ü Square ü Cube & Cube root
![Multiplication In multiplication Two Sutra are use The Sutra are 1 Nikhilam Multiplication: - In multiplication Two Sutra are use. The Sutra are: - 1. Nikhilam](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-4.jpg)
Multiplication: - In multiplication Two Sutra are use. The Sutra are: - 1. Nikhilam Navatas’caramam 2. Urdhva-tiryagbhyam Das’atah Example by Nikhilam Navatas’caramam Das’atah: - v 91 multiply by 91. By general method. 91*91 91 819* 8281 v By Vedic method- Nikhilam Navatas’caramam Das’atah 91 -9 82/81 In this method, Firstly we are count the complement of 91 -9; second, add them ; third, subtract the sum from nearest base-100 and multiply the complement. So, answer is 8281. 56 multiply by 98. By general method. 56*98 448 504* 5488 By Vedic method-Nikhilam Navatas’caramam Das’atah 56 -44 98 - 2 54/88 In this method, Firstly, we are count the complement of 56 -44 & 98 -2; second, add them ; third , subtract the sum from nearest base-100 and multiply the complement. So, answer is 5488.
![Example by Urdhvatiryagbhyam v 12 multiply by 11 By General method By Vedic Ganit Example by Urdhva-tiryagbhyam: v 12 multiply by 11. By General method. By Vedic Ganit](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-5.jpg)
Example by Urdhva-tiryagbhyam: v 12 multiply by 11. By General method. By Vedic Ganit method- Urdhva-tiryagbhyam. 12*11 12 12* 132 12 *11 1/1+2/2 =132 v 23 multiply by 21. By General method. 23*21 23 46* 483 By Vedic Ganit method- Urdhva-tiryagbhyam. 23 *21 4/2+6/3 =483
![Division In division we are use Dhwajanka method For example v 98374 divided Division: In division, we are use Dhwajanka method. For example : v 98374 divided](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-6.jpg)
Division: In division, we are use Dhwajanka method. For example : v 98374 divided by 87. By general method. 87)98374(1130. 8 87 113 87 261 640 By Vedic Ganit method-Dhwajanka. 87 9837: 4 1130: 8 In this method , we are imagine Dhwaj of first digit of divider. After we divide 9 by 8 i. e. 1 and 1 reminder. After we subtract 7*1 from 18 and divide answer by 8 i. e. (18 -7)/8=1 and 3 reminder. After we subtract 7*1 from 33 and divide answer by 8 i. e. (33 -7)/8=3 and 2 reminder. After we subtract 7*3 from 27 and divide answer by 8 i. e. (27 - 21)/8=0 and 6 reminder. After we subtract 7*0 from 64 and divide by 8 i. e. (64 -0)/8=8. So, answer is 1130. 8
![Square We are use Yavdunam Sutra to calculate square For Example v Square of Square: We are use Yavdunam Sutra to calculate square. For Example: v. Square of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-7.jpg)
Square: We are use Yavdunam Sutra to calculate square. For Example: v. Square of 997. =994/009 =994009 In this method, first, we are subtract number from nearest base-1000 i. e. 1000 -997=3; second, calculate square of 3 in three digit : we get first part i. e. 009 & to find last part, subtract 3 from number i. e. 9973=994. So, number =994009.
![v Square of 113 126169 12769 There number is larger than nearest base So v. Square of 113. =126/169 =12769 There number is larger than nearest base. So,](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-8.jpg)
v. Square of 113. =126/169 =12769 There number is larger than nearest base. So, first, we are subtract nearest base-100 from number i. e. 113 -100=13; second, calculate square of 13 in two number : we get first part i. e. 69 and 1 carry & to find another part, add 13 to number i. e. 13+113=126 and add carry. So, number =12769.
![Cube We are use Yavdunam Sutra to calculate cube For Example v Cube of Cube: We are use Yavdunam Sutra to calculate cube. For Example: v Cube of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-9.jpg)
Cube: We are use Yavdunam Sutra to calculate cube. For Example: v Cube of 104. =112/48/64 =1124864 In this method, first, we find nearest base-100, there number is larger than nearest base. So, second, subtract nearest base from number i. e. 104 -100=4 & we find mass. To find first part, we write cube of mass i. e. 43=64; to find next part, we multiply mass*3 i. e. 4*4*3=48 & to find last part, add number to 2*mass i. e. 104+2*4=112. So, number is 1124864.
![v Cube of 996 988048064 988047936 In this method first we find nearest v. Cube of 996. = 988/048/064 =988047936 In this method, first, we find nearest](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-10.jpg)
v. Cube of 996. = 988/048/064 =988047936 In this method, first, we find nearest base-1000, there number is smaller than nearest base. So, second, subtract number from nearest base i. e. 1000 -996=4 & we find mass. To find first part, we write cube of mass i. e. 43=064; to find next part, we multiply mass*3 i. e. 4*4*3=048 & to find last part, subtract 2*mass from number i. e. 996 -2*4=998. There number is smaller than nearest base. So, we subtract first part from nearest base i. e. 1000 -064=936 & subtract 1 from second part i. e. 048 -1=047. Note: This type question we subtract carry of first part from second part.
![Cube root For example v Cube root of 32768 Step 1 From groups of Cube root: For example: v Cube root of 32768. Step 1 From groups of](https://slidetodoc.com/presentation_image_h/286517ea0d772bdd9bb9cbd9bba1b5a9/image-11.jpg)
Cube root: For example: v Cube root of 32768. Step 1 From groups of three starting from the rightmost digit of 32768. 32 768. In this case one group i. e. , 768 has three digits whereas 32 has only two digits. Step 2 Take 768. One’s place of cube of 8 is 2. So, we take the one’s place of the required cube root as 2. Step 3 Take the other group, i. e. , 32. Cube of 3 is 27 and cube of 4 is 64. 32 lies between 27 and 64. The smaller number among 3 and 4 is 3. Take 3 as ten’s place of the cube root of 32768. Thus, cube root of 32768 is 32.