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All Calculation Tricks in One Video | Master Addition, Subtraction, Multiplication, Square/Cube Root

Adda247・136 minutes read

The speaker Tiwari emphasizes the importance of calculation techniques for quick exam success, highlighting the significance of daily practice. He introduces various mental math approaches and techniques, stressing the need to develop a habit of fast mental calculations to excel in exams and daily life situations.

Insights

Calculation techniques are crucial for children to excel in exams and must be practiced daily.
Quick mental calculations are emphasized for success in exams and daily life situations.
Specific methods like the "Ram and Shyam" approach and the "Duck Approach" are taught for quick calculations.
Understanding patterns and specific techniques like "big mia small mia" aid in faster multiplication and division.
Memorization of key multiplication products and fractions is essential for efficient calculations.
Techniques for squaring numbers, finding cube roots, and simplifying fractions are detailed to enhance mathematical skills.

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Recent questions

How can children improve calculation speed?
By practicing daily and using mental math techniques.

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Summary

00:00

"Speedy Calculation Techniques for Exam Success"

The speaker, Tiwari, emphasizes the importance of calculation techniques for children to crack tough exam questions quickly.
He stresses that calculation speed is crucial for success in exams, especially in time-pressured situations.
Tiwari highlights that children who excel in exams use calculation techniques to solve questions rapidly.
He explains that mastering basic calculations is essential, but quick mental calculations are equally important.
Tiwari provides an example of how to quickly solve a math problem by breaking down the numbers and using mental math.
He underscores the significance of practicing calculation techniques daily to improve speed and accuracy.
Tiwari encourages children to practice calculations regularly to enhance their mathematical skills and speed.
He introduces a book that contains comprehensive calculation techniques in both Hindi and English versions for further practice.
Tiwari demonstrates the importance of quick mental calculations by showing how to add numbers swiftly without hesitation.
He emphasizes the need to develop a habit of rapid mental calculations to excel in exams and daily life situations.

10:28

Mastering Mental Math for Speed and Accuracy

Adding mobile numbers repeatedly to practice mental math
Practicing each number to save it in the subconscious mind
Calculating orally without pen and paper in seconds
Teaching children to add numbers quickly and accurately
Emphasizing the importance of practicing mental math daily
Using specific approaches like adding 100 and subtracting 10 for certain calculations
Demonstrating mental math techniques for adding and subtracting numbers
Encouraging children to practice mental math regularly for speed and accuracy
Introducing different approaches like doubling numbers for quick calculations
Teaching the "Ram and Shyam" approach for adding and multiplying numbers efficiently

20:14

Mastering Mental Math for Quick Calculations

Mental math practice involves quick calculations without pen and paper
Emphasizes the importance of speed in mental calculations for exams and real-life scenarios
Encourages practicing mental math daily to improve speed and accuracy
Explains the concept of finding pairs of numbers that sum up to a base number like 100, 200, etc.
Demonstrates the approach of finding pairs that add up to 100, such as 56 and 44
Introduces the concept of finding the difference between numbers, like 72 and 27
Teaches the method of subtracting numbers close to a base number, like 544 and 643
Highlights the significance of practice in mastering mental math techniques
Encourages waking up early to practice mental math daily for better retention and quick calculations
Promotes sharing the mental math techniques with others to enhance learning and understanding

29:28

"Math Tricks: Adding, Subtracting, Multiplying Numbers Easily"

The target number is 349, but the goal is to reach 356, requiring seven more steps.
Children suggest that adding 207 would be the correct answer, leading to a total of 556.
The actual target is 876, not 867, necessitating nine more steps to reach.
Subtracting 197 from 576 results in 379, with an additional three to account for.
By subtracting 300 from 576, the total becomes 276, with seven more to add, totaling 339.
Multiplying 11 by 12 yields 132, following the method of writing the numbers apart and then equalizing them in the middle.
The product of 24 is 264, achieved by separating the digits and then adding them together.
Multiplying 8 by 1 results in 89, following the same process of separating and adding the digits.
Odd numbers are adjusted to even by subtracting one before halving and adding five at the end, such as 422 becoming 2115.
Multiplying by 25 involves understanding that 25 is equivalent to 100/4, simplifying calculations to get the final product.

39:36

Multiplication Approaches for Quick Mental Calculations

The neighboring approach involves multiplying numbers that are next to each other, like 12 multiplied by 13, 13 by 14, and so on.
The smaller number is multiplied by the number next to it, such as 7 multiplied by 8, resulting in 56.
The approach is similar to squaring numbers, where you add the smaller number to the square.
For example, squaring 8 results in 64, and adding 8 gives 56.
The Trishul approach involves squaring a number and subtracting one, like squaring 13 and subtracting 1 to get 168.
Similarly, squaring 14 and subtracting 1 gives 195.
The approach focuses on the gap between numbers and the resulting square.
The Number ending with one approach involves multiplying numbers ending in one, treating the last digit first, then multiplying the rest.
For example, multiplying 41 by 21 results in 861.
The Duck Approach involves multiplying numbers where the unit place sums to 10, like 7 and 3, resulting in 56.
The Turtle Approach is used when the sum of the tens place is 10, directly multiplying numbers like 6 and 6 to get 36.
The approach emphasizes simplicity and direct multiplication.
The final approach involves multiplying numbers ending in 5, where the gap between them is 10, and squaring the larger number minus 1.
For instance, squaring 7 and subtracting 1 gives 48, with the final digit always being 75.
Practice is key to mastering these approaches for quick mental calculations.

49:41

Mastering Math Basics for Exam Success

Practice Viral Maths at 6:00 every morning to avoid forgetting basics.
Competition requires practice and dedication, not instant success.
Only a few children are selected out of a large number of applicants.
Developing the ability to solve quickly is crucial for exam success.
Memorize important multiplication products for faster calculations.
Multiplying by 16 involves doubling and adding progressively.
The "big mia small mia" approach simplifies multiplication by 4.
Memorize the values of fractions to speed up calculations.
Multiplying by 7.25 involves breaking down the number and adding fractions.
Multiplying by 15 requires adding half of the number to itself and adding a zero at the end.

01:00:45

Ice Cream Method Simplifies Multiplication and Division

118 is 118, 200 and 300 became 200 and 100 became 300.
36 and 18 equals 54, with 354 children putting in 354.
Learning a new approach for multiplication, focusing on patterns and ice cream method.
Multiplying by four, understanding the ice cream approach for easy calculations.
Dividing by three using the ice cream approach, focusing on patterns and uniting numbers.
Multiplying numbers by their double, squaring the number and doubling it.
Using the Dawn approach for division by 37, understanding the method of uniting numbers.
Dividing numbers by three, focusing on patterns and adding the last two numbers.
Applying the broken heart approach for division by 25, breaking numbers into parts for easier calculations.
Exploring square and square root techniques, preparing to cover cube and cube root calculations next.

01:11:42

Squaring Numbers: Techniques for Quick Calculation

To find the square of numbers ending in five, such as 15, 35, 75, and 95, square the digit before five and multiply it by the next digit, then add 25 at the end. For example, squaring 15 results in 225.
When dealing with numbers close to 50, like 41, 43, 46, and 48, determine how much less they are from 50, square that difference, and subtract it from 25. For instance, squaring 43 involves subtracting 7 from 25 to get 18, resulting in 49.
If the base number is 50, calculate the square of numbers like 52, 54, and 57 by adding the difference from 50 to 25. For example, squaring 54 involves adding 4 to 25 to get 29, resulting in 196.
When the base number is 100, like with 91, 93, 96, and 98, determine how much less the number is from 100, square that difference, and subtract it from 100. For instance, squaring 96 involves subtracting 4 from 100 to get 96, resulting in 16.
Moving beyond 100, for numbers like 104, 108, and 109, calculate how much more they are from 100, add that difference to 100, and square the additional amount. For example, squaring 108 involves adding 8 to 100 to get 108, resulting in 64.
To find the square of numbers like 88 and 112, determine how much less or more they are from 100, adjust the number accordingly, and square the difference. For instance, squaring 88 involves subtracting 12 from 100 to get 88, resulting in 144.
Memorize the squares of numbers from 1 to 125 using the techniques provided, ensuring clarity and understanding for future reference.
The approach to finding squares of numbers involves understanding the base number, calculating the difference from that base, and applying the appropriate formula to determine the square accurately.

01:22:24

"Mastering Squares, Roots, and Patterns"

The technique for finding the square of 64 is explained, starting with squaring the number 36.
The process involves squaring 36, then multiplying 6 by 24, and adding 48.
Finding the square of a digit requires specific steps, like squaring 36 and 6.
A discussion on square roots is initiated, focusing on the square roots of various numbers.
The approach to guessing the square root of numbers is introduced, exemplified with numbers like 30 and 35.
The method of finding the square root of numbers ending in 25 is detailed, with examples like 1225 and 9025.
The cube roots of numbers are discussed, including the cubes of 1, 8, 27, 64, 125, 216, 343, 512, and 729.
The importance of recognizing patterns in cube roots is emphasized, like the unit place indicating the cube of a number.
Specific examples are provided to illustrate when certain numbers appear in cube roots, like 4, 5, 6, and 9.
The session concludes with a reminder to observe patterns in cube roots and recognize recurring numbers.

01:34:32

"Mastering Cubes and Fractions for Math"

Cube of 2 is 8, cube of 7 is 343, cube of 3 is 27, cube of 4 is 64, cube of 5 is 125, cube of 6 is 216, cube of 8 is 512, cube of 9 is 729, cube of 10 is 1000, cube of 11 is 1331, cube of 12 is 1728, cube of 13 is 2197, cube of 14 is 2744, cube of 15 is 3375, cube of 16 is 4096, cube of 17 is 4913, cube of 18 is 5832, cube of 19 is 6859, cube of 20 is 8000.
Cube root is explained, emphasizing the importance of memorizing cubes from 1 to 25.
Instructions on finding cube roots are detailed, focusing on leaving three places from the last and identifying the number closest to the given value when cubed.
Conversion of mixed fractions is explained, highlighting the rule of moving the lower number to the top.
Addition of fractions with different denominators is demonstrated, showing how to convert them to complete fractions for easier calculation.
Multiplication of whole numbers is illustrated, providing two methods to multiply 99 by 4.
Practical tips are given on quickly solving mathematical problems involving fractions and whole numbers.
Emphasis is placed on understanding the concepts and methods rather than relying on shortcuts or tricks.
The importance of practice and understanding basic mathematical principles is highlighted for effective problem-solving.
The text encourages children to engage with math concepts actively and avoid shortcuts for better comprehension and retention.

01:45:42

Math Basics: Fractions, Decimals, Powers

Denominators must be summed up first in fractions
If denominators are different, make them the same first
Example: If there are 12 people, with 3 at the bottom, there are 3 at the top too
Similarly, with 2 at the bottom, there are 2 at the top and 4 at the bottom
Simplifying fractions: 4/2 becomes 6/3 and 39/9 becomes 13/3
Multiplication and division in fractions: observe carefully
Multiplication is represented by a cross, division by a line
Example: 5 * 28 becomes 14 divided by 5
Decimals: Add and subtract decimals
Example: 376 + 23 = 399, 11 - 125 = 14, 24 - 13.8 = 10.2
Decimal subtraction: Subtract decimals, return extra points if needed
Example: 367 - 23.8 = 343.2, 13 - 5.13 = 7.87
Power comparison: Compare powers by multiplying the base
Example: 4^5 is 625, 4^15 is 225, 4^3 is 64, 4^4 is 256, 4^15 is 225

01:56:19

"Square and Cube Number Tricks Revealed"

To find the square of numbers ending in 25, such as 625, first square the digit before 25, which is 6, resulting in 36. Then, halve 6 to get 3 and add it to 36, giving 39. Multiplying 39 by 10 yields 390, and squaring this gives 625, the correct answer. Similarly, for numbers like 225 or 325, square the digit before 25, add half of it, multiply by 10, and square the result to find the answer.
For the cube of 16, which is 4096, the larger number is the correct answer. The session concludes with a reminder of the effort put in to teach, the distribution of PDFs, and an apology for any inconvenience due to the day's stress and busyness.

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