Easy Percentage Trick you were Never Taught at School!

tecmath
31 Mar 202103:51
EducationalLearning
32 Likes 10 Comments

TLDRIn this educational video, the host teaches a simple trick for solving percentage problems quickly. The trick involves rearranging the numbers to make the calculation easier, such as turning 16% of 25 into 25% of 16. The host demonstrates this method with several examples, including 48% of 50, 60% of 75, and 44% of 150, showing how to quickly find the answers using the commutative law of multiplication. The video encourages viewers to practice these tricks and subscribe for more math tips, ending with a humorous reference to Finding Nemo.

Takeaways
  • 🕒 The video challenges the viewer to solve a percentage question quickly, using the example of 16% of 25, and reveals the answer is four.
  • 🔢 The video introduces a trick to make percentage calculations easier by flipping the numbers, such as calculating 25% of 16 instead of 16% of 25.
  • 📚 It explains that this trick is based on the commutative law, which states that the order of multiplication does not affect the result.
  • 📈 The video provides additional examples to practice the trick, including 48% of 50, 60% of 75, and 44% of 150.
  • 🎓 The presenter suggests that viewers can pause the video to try solving the examples themselves and encourages them to subscribe for more math tricks.
  • 👍 The video encourages viewers to like the video and subscribe if they find the trick useful.
  • 💰 There is a call to action for viewers to become patrons to support the channel, with a link provided in the description.
  • 🎉 The presenter humorously self-promotes and asks for support, while also providing the answers to the examples given in the video.
  • 📉 The answers provided for the examples are 24 for 48% of 50, 45 for 60% of 75, and 66 for 44% of 150.
  • 📚 The video concludes by inviting viewers to check out more percentage tricks on the techmath channel and to leave comments.
  • 🐟 The presenter ends with a light-hearted reference to Finding Nemo, inviting viewers to comment on his voice, and reiterates the support for patrons.
Q & A

  • What is the main topic of the video script?

    -The main topic of the video script is teaching a math trick for solving percentage problems quickly and easily.

  • What is the first percentage problem presented in the script?

    -The first percentage problem presented is calculating 16% of 25.

  • How does the script suggest simplifying the calculation of 16% of 25?

    -The script suggests simplifying the calculation by flipping the numbers to make it 25% of 16, which is easier to compute.

  • What is the result of 16% of 25 according to the script?

    -The result of 16% of 25 is 4.

  • What mathematical principle is mentioned in the script that applies to percentages?

    -The script mentions the Commutative Law, which states that the order of multiplication does not affect the result, and this principle also applies to percentages.

  • What are the other percentage problems given as examples in the script?

    -The other percentage problems given are 48% of 50, 60% of 75, and 44% of 150.

  • How is the calculation of 48% of 50 simplified in the script?

    -The calculation is simplified by flipping it to 50% of 48, which is half of 48, resulting in 24.

  • What is the result of 60% of 75 as shown in the script?

    -The result of 60% of 75 is 45, after flipping it to 75% of 60 and calculating 3/4 of 60.

  • How is the calculation of 44% of 150 simplified in the script?

    -The calculation is simplified by considering it as 150% of 44, which is 1 and 1/2 times 44, resulting in 66.

  • What is the channel's name where the script is taken from, and what is its focus?

    -The script is taken from the 'techmath' channel, which focuses on providing math tricks and educational content.

  • What is the humorous reference made by the script's presenter about themselves?

    -The presenter humorously refers to themselves as sounding like the shark from 'Finding Nemo' and mentions that fish are friends, not food.

Outlines
00:00
🕵️‍♂️ Solving Percentage Problems Easily

This paragraph introduces a simple method for solving percentage problems quickly. The presenter challenges the audience to find 16% of 25 within 5 seconds, revealing that the answer is four. The explanation follows, showing how to flip the numbers to make the calculation easier, such as turning 16% of 25 into 25% of 16. The concept of the commutative law from arithmetic is applied to percentages, making the calculations more straightforward. The presenter then invites the audience to try more examples, such as 48% of 50, 60% of 75, and 44% of 150, and suggests pausing the video to attempt these on their own.

Mindmap
Keywords
💡Percentage
A percentage is a way of expressing a number as a fraction of 100. It is often used to describe a proportion or a rate. In the video, percentages are the central theme, used to demonstrate how to calculate a certain fraction of a whole number, such as finding 16% of 25.
💡Commutative Law
The commutative law in mathematics states that the order in which two numbers are added or multiplied does not change the result. The video explains that this law also applies to percentages, allowing for easier calculations by flipping the percentage and the whole number, as shown with 25% of 16 instead of 16% of 25.
💡Calculation
Calculation refers to the process of computing or reckoning, especially by mathematical methods. The video is focused on teaching viewers how to perform calculations involving percentages in a simplified manner, making it easier for them to solve problems quickly.
💡Examples
Examples in the video are used to illustrate the concept being taught. They provide practical demonstrations of the calculation method, such as calculating 48% of 50, 60% of 75, and 44% of 150, showing how the commutative law can be applied to make the calculations simpler.
💡Multiplication
Multiplication is one of the basic arithmetic operations, involving combining groups of equal size. In the context of the video, multiplication is used to find what percentage of a number is, by multiplying the number by the percentage in decimal form.
💡Decimal
A decimal is a way of expressing a fraction with a denominator that is a power of 10, typically used to represent parts of a whole. In the video, converting percentages to decimals is a step in the calculation process, such as turning 50% into 0.5 to simplify the multiplication.
💡Fraction
A fraction represents a part of a whole, expressed as a ratio of two numbers. The video uses fractions to simplify percentage calculations, such as expressing 75% as three-quarters, which helps in understanding and performing the calculations.
💡Simplification
Simplification in mathematics refers to making a complex problem or calculation easier to solve. The video's main message is about simplifying percentage calculations by using the commutative law and converting percentages to more manageable forms, like fractions or decimals.
💡Subscription
A subscription in the context of the video refers to the act of subscribing to a YouTube channel to receive updates on new content. The video creator encourages viewers to subscribe for more math tricks, indicating a call to action to support the channel.
💡Patronage
Patronage in this context refers to financial support given by patrons to content creators, such as through Patreon or other platforms. The video creator expresses appreciation for patrons and invites viewers to become patrons to support the channel.
💡Educational Content
Educational content is material that is intended to teach or instruct. The video script is an example of educational content, aiming to teach viewers a mathematical trick for simplifying percentage calculations, making it accessible and engaging.
Highlights

Introduction to a quick method for solving percentage questions.

Demonstration of solving 16% of 25 in 5 seconds using a simple trick.

Explanation of the commutative law and its application to percentages.

Illustration of how to flip numbers to make percentage calculations easier.

Solution to the problem: 25% of 16 equals 4.

Invitation to try solving additional percentage problems.

Presentation of the first additional problem: 48% of 50.

Presentation of the second additional problem: 60% of 75.

Presentation of the third additional problem: 44% of 150.

Solution to 48% of 50 by converting it to 50% of 48.

Explanation of how 50% is half and its application to the problem.

Solution to 60% of 75 by converting it to 75% of 60 and using the concept of quarters.

Solution to 44% of 150 by converting it to 150% of 44 and using the concept of one and a half times.

Encouragement to like, subscribe, and become a patron for more math tricks.

Humorous self-promotion and reference to Finding Nemo as a recurring joke.

Acknowledgment and thanks to patrons for their support.

Closing remarks and sign-off for the video.

Transcripts

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Math TricksPercentagesTutorialEducationalCommutative LawPercentage CalculationEasy MathQuick TipsCalculation TechniquesLearning Resource