5 Simple Math Tricks For Fast Calculations | Mathematics Tricks for Daily Use | ChetChat Math Tips
TLDRIn this engaging video, Chetna from ChetChat introduces viewers to five math tricks and three tips from renowned mathematicians to enhance mathematical skills. The video is sponsored by Cuemath, a comprehensive math learning program. The tricks include estimation, such as calculating 4% of 250, and mental arithmetic shortcuts for operations like division by five and multiplication by eleven. Tips from famous mathematicians emphasize the importance of visualization and strengthening fundamentals. The video also covers a trick for quickly finding the square of numbers ending in five. Chetna encourages viewers to practice and subscribe for more math content.
Takeaways
- 🧮 **Estimation Trick**: To estimate a percentage of a number, first find a simpler percentage (like 10%) and then scale it accordingly. For example, 4% of 250 is roughly 10 (since 10% of 250 is 25, and 4% is 4 times less).
- 📏 **Rounding for Summation**: When adding large numbers, round them to the nearest hundred or thousand to simplify the addition process, then adjust for the difference.
- 👀 **Visualization Tip**: Albert Einstein emphasized that math is like a poetry of logical reasoning. Visualize patterns and stories instead of just memorizing formulas to enhance logical reasoning.
- 🔢 **Sum of Even Numbers**: The sum of even numbers between 0 and any number 'n' can be visualized and calculated using a simple formula involving the count of even numbers up to 'n'.
- 📉 **Division by Multiples**: For quick division, convert the divisor to a power of 10 and then adjust the result accordingly, as shown with division by 5.
- 🧘♂️ **Fundamentals are Key**: As Eric Temple Bell suggested, don't take anything for granted in math. Strengthen your basics and practice regularly to become an expert.
- 🚀 **Multiplication by Eleven**: A trick for multiplying any number by 11 involves placing the original number's last digit in the unit's place, the sum of the digits in the tens place, and carrying over as necessary.
- 🎓 **Educational Sponsorship**: The video is sponsored by Cuemath, a math learning program with a unique curriculum designed by experts from IIT and the University of Cambridge.
- ⏰ **Time-saving Squares**: A trick to find the square of any number ending in five involves multiplying the number before the last digit by the next digit, and appending 25 to the result.
- 📚 **Further Learning Resources**: The video provides additional resources, such as a link to another video with tips to score high in math, for further learning.
- 💡 **Logical Reasoning**: Math is not just about calculations; it also requires logical reasoning, the right mindset, and lots of practice.
- 📧 **Engagement Invitation**: The presenter encourages viewers to share their favorite tricks in the comments and to subscribe for more math-related content.
Q & A
What is the product of 79 multiplied by 11?
-The product of 79 multiplied by 11 is 869.
What is 4% of 250?
-4% of 250 can be calculated as 0.04 multiplied by 250, which equals 10.
What is the sum of all even numbers from zero to one hundred seventy-nine?
-The sum of all even numbers from zero to one hundred seventy-nine can be calculated using the formula for the sum of an arithmetic series. The first even number is 0, and the last is 178. The common difference is 2, and the number of terms can be found by (178 - 0) / 2 + 1 = 89 + 1 = 90. The sum is (0 + 178) / 2 * 90 = 89 * 90 = 8010.
What is the first math trick presented in the video?
-The first math trick presented in the video is estimation, which helps to quickly understand the impact of discounts like 12% off or 30% off in a store or restaurant.
How can you estimate 4% of 250 using a simple method?
-You can estimate 4% of 250 by first calculating 10% of 250, which is 25, and then dividing by 2.5 to find 1% of 250, which is 2.5. Multiplying 2.5 by 4 gives you an estimate of 10 for 4% of 250.
What is the tip given by Albert Einstein regarding the approach to learning math?
-Albert Einstein's tip is to visualize, not memorize. He suggested looking at math as a form of logical reasoning, similar to poetry, which can enhance one's logical reasoning skills.
What is the formula to find the sum of all even numbers from zero to a given number?
-The formula to find the sum of all even numbers from zero to a given number 'n' is n/2 * (n/2 + 1), where 'n' is the last even number in the sequence.
What is the trick for division by five?
-The trick for division by five involves first dividing the number by 10 and then multiplying the result by 2. This simplifies the division process.
What does Eric Temple Bell say about the word 'obvious' in mathematics?
-Eric Temple Bell, a famous Scottish mathematician, said that 'obvious' is the most dangerous word in mathematics. He emphasized the importance of going back to basics, strengthening fundamentals, and practicing regularly.
How does the multiplication by eleven trick work?
-The multiplication by eleven trick involves multiplying the digits of the number without the last digit and adding the product of the last digit and the sum of the other two digits to the result. The last digit of the product is the sum of the digits, and any carry-over is added to the next place value.
What is the magical trick for finding the square of a number ending in five?
-The magical trick for finding the square of a number ending in five involves taking the number formed by its digits excluding the last (which is always 5), multiplying it by itself, and then appending 25 to the product.
What is the final advice given in the video regarding the approach to learning math?
-The final advice given in the video is that math is more than just fast calculation; it requires logical reasoning, the right mindset, and lots of practice.
Outlines
🧙 Introduction to Math Tricks and Sponsorship
The video begins with the host, Chetna, introducing various math tricks to solve problems quickly. She mentions that the episode is sponsored by Cuemath, a math learning program designed for students from KG to 10th standard. The program focuses on building a strong foundation in math with a unique curriculum developed by experts from IIT and the University of Cambridge. Viewers are encouraged to take advantage of a free demo class and a 10% discount on the package if they enroll. The first math trick discussed is estimation, which is useful for quickly calculating percentages off in stores or restaurants. Chetna demonstrates how to estimate 4% of 250 and provides a tip to visualize rather than memorize mathematical concepts.
🔢 Estimation and Sum of Even Numbers
Chetna continues with the first trick, estimation, by showing how to add large numbers by rounding them to the nearest hundred and then adjusting for the difference. She then moves on to discussing the sum of all even numbers from zero to one hundred seven nine, breaking it down into a smaller, more manageable problem by first finding the sum of even numbers from zero to ten. She visualizes this by drawing a rectangle and deducing a formula for the sum based on the number of even numbers in the range. The video also includes a call to action for viewers to share their favorite tricks or any other tricks they love in the comments section.
📉 Division by Five and Strengthening Fundamentals
The third trick presented is division by five, where Chetna simplifies the process by first dividing by ten and then adjusting the result. She emphasizes the importance of strengthening one's math fundamentals, quoting Eric Temple Bell and suggesting that viewers practice regularly to become experts. The fourth trick is multiplication by eleven, which is demonstrated with examples to show how the units place and the middle digit can be quickly determined through simple arithmetic operations. Chetna also reminds viewers of another video with five tips to score a hundred percent in math and provides a link in the description box.
🔍 Squaring Numbers Ending in Five and Conclusion
The fifth and final trick is finding the square of any number ending in five, which is achieved by using a specific formula that involves the number preceding the five and the square of five. Chetna illustrates this trick with examples, such as squaring 85 and 105, to show the speed and simplicity of the method. She concludes by emphasizing that math is not just about fast calculations but also requires logical reasoning, the right mindset, and lots of practice. The video ends with a prompt for viewers to subscribe, hit the Bell icon for notifications, and give a thumbs up to support more math video content.
Mindmap
Keywords
💡Estimation
💡Visualization
💡Division by Five
💡Multiplication by Eleven
💡Squaring Numbers Ending in Five
💡Logical Reasoning
💡Strengthen Fundamentals
💡Cuemath
💡Free Demo Class
💡Discount
💡Mathemagic
💡Comment Section
Highlights
79 multiplied by 11 equals 869
4% of 250 is calculated by first finding 10% (which is 25) and then 4 times 1% (which is 10)
Sum of all even numbers from zero to one hundred seven nine by estimating and rounding to the nearest hundred
Cuemath is an after-school math excellence program for students from KG to 10th standard
Cuemath's curriculum and teaching methodology are designed by experts from IIT and the University of Cambridge
Free demo class offered by Cuemath, with a 10% discount on the package for enrollees
Estimation trick for quick mental math in everyday situations like discounts
Tip from Albert Einstein to visualize math as a form of logical reasoning rather than memorization
Sum of even numbers from zero to a certain point can be calculated using a visual rectangle method
Eric Temple Bell emphasized the importance of strengthening fundamentals in mathematics
Division by five can be simplified by first dividing by ten and then adjusting the result
Multiplication by eleven can be done quickly by using a specific formula that involves the digits of the number
The square of any number ending in five can be found rapidly using a trick that involves the square of five and multiplication
Math is more than just fast calculation; it requires logical reasoning and practice
The importance of practicing and strengthening fundamentals to become an expert in mathematics
A reminder about another video with five tips to score a hundred percent in math
Invitation to subscribe and engage with the channel for more math-related content
Transcripts
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