Solve Percentages in Your Head in seconds -» Easy Percentage Trick

tecmath
6 Nov 202205:37
EducationalLearning
32 Likes 10 Comments

TLDRIn this Tech Math Channel video, Josh demonstrates quick and easy methods for solving percentage problems. He begins with a simple example, breaking down 60% of 42 into smaller, manageable calculations. Josh then offers three practice problems, explaining flexible strategies to find 30% of 61, 90% of 860, and 45% of 18 efficiently. Emphasizing adaptable techniques, Josh ensures viewers can handle various percentage calculations swiftly. The video concludes with an invitation for feedback and support from the audience.

Takeaways
  • 😀 The video is a tutorial by Josh from Tech Math Channel on solving percentage questions quickly.
  • 🕵️‍♂️ The first example given is calculating 60% of 42, which is solved by breaking down 60 into 50 and 10 for easier calculation.
  • ⏱️ The audience is challenged to solve the example within a limited time, then the solution is revealed to be 25.2.
  • 📚 The method involves understanding that 50% of a number is half of it, and 10% is one-tenth, simplifying the calculation.
  • 🔢 The solution to the first example is found by calculating 50% and 10% of 42 separately and then adding the results.
  • 📈 Josh provides three additional problems for the audience to solve: 30% of 61, 90% of 860, and 45% of 18.
  • 🤔 The strategy for solving these problems is to be flexible and use multiples or near multiples of the percentages involved.
  • 🧩 For 30% of 61, Josh suggests calculating 10% first and then tripling the result, since 30 is three times 10.
  • 📉 The solution to 90% of 860 involves recognizing that 100% of a number is the number itself, and then subtracting 10% to get 90%.
  • 🔄 For 45% of 18, Josh uses the fact that 50% is half of the number and then adjusts by subtracting 5% from 50% to account for the difference.
  • 👍 The video encourages viewers to practice these techniques and provides a supportive environment for learning math.
  • 📝 Josh invites feedback and appreciation in the comments, and mentions the support of patrons for the channel.
Q & A

  • What is the main topic of the video?

    -The main topic of the video is solving percentage questions quickly and easily.

  • What is the example percentage problem given at the start of the video?

    -The example percentage problem given is calculating 60% of 42.

  • How does the speaker suggest breaking down the problem of calculating 60% of 42?

    -The speaker suggests breaking 60% into two parts: 50% and 10%.

  • How is 50% of 42 calculated?

    -50% of 42 is calculated as half of 42, which is 21.

  • How is 10% of 42 calculated?

    -10% of 42 is calculated by dividing 42 by 10, resulting in 4.2.

  • What is the final answer when you add 50% and 10% of 42?

    -The final answer is 25.2 (21 + 4.2).

  • How does the speaker solve 30% of 61?

    -The speaker solves 30% of 61 by calculating 10% of 61, which is 6.1, and then multiplying it by 3 to get 18.3.

  • How is 90% of 860 calculated?

    -90% of 860 is calculated by finding 100% of 860 (which is 860), then subtracting 10% of 860 (which is 86), resulting in 774.

  • How does the speaker suggest solving 45% of 18?

    -The speaker suggests solving 45% of 18 by first finding 50% of 18 (which is 9), then calculating 5% of 18 (which is 0.9) and subtracting it from 9, resulting in 8.1.

  • What is the main technique emphasized throughout the video for solving percentage problems?

    -The main technique emphasized is breaking down percentages into simpler parts that are easier to calculate and then combining those parts.

Outlines
00:00
📚 Solving Percentage Problems with Easy Techniques

In this segment, Josh from Tech Math Channel introduces viewers to a simple method for solving percentage questions. He challenges them to solve '60 of 42' within five seconds, revealing the correct answer as 25.2. Josh then explains his approach by breaking down the percentage into manageable parts, using 50 and 10 as examples, and demonstrates how to quickly find half of a number and a tenth of it. He encourages viewers to try solving three additional problems on their own before showing the solutions, emphasizing the importance of flexibility in problem-solving.

05:05
👍 Encouraging Engagement and Support

The second paragraph focuses on viewer engagement and support for the Tech Math Channel. Josh asks viewers to share their thoughts in the comments, give a thumbs up if they like the trick, and express their appreciation for the content. He acknowledges his patrons and their valuable support, offering a shout out to them. For those interested in becoming a patron, he provides a link in the video description. Josh concludes by thanking viewers for watching and bids them farewell until the next video.

Mindmap
Keywords
💡Percentage
A percentage is a way of expressing a number as a fraction of 100. It is used to compare proportions or to indicate a part of a whole. In the video, the concept of percentage is central to solving the math problems presented. For example, when the script mentions '60 of 42,' it is asking for 60 percent of the number 42.
💡Solving
Solving in the context of this video refers to finding the answer to a mathematical problem. The video aims to demonstrate methods for quickly solving percentage-based questions. For instance, the script shows how to solve '60 of 42' by breaking it down into more manageable parts.
💡Calculation
Calculation is the process of computing or reckoning, especially by mathematical methods. The video script provides a step-by-step guide on how to perform calculations for percentage problems, such as finding half of a number or dividing by ten.
💡Flexibility
Flexibility in this video script refers to the ability to adapt one's approach to solving problems. The presenter encourages viewers to be flexible in their methods, such as using different strategies for calculating percentages, as seen when solving '90 of 860' by considering it in relation to 100.
💡Division
Division is one of the four basic operations in arithmetic, where a number (dividend) is divided by another (divisor) to get a quotient. In the script, division is used to simplify percentage calculations, such as dividing 42 by 10 to find 10 percent of it.
💡Multiplication
Multiplication is the arithmetic operation of scaling one number by another. The video script uses multiplication to scale the result of a smaller percentage calculation, such as multiplying '10 of 61' by 3 to find '30 of 61'.
💡Decimal Place
A decimal place refers to the position of digits to the right of the decimal point in a number. The script explains how moving the decimal place one position to the left is a quick way to calculate a tenth of a number, as shown when calculating '10 of 42'.
💡Addition
Addition is the process of combining two or more numbers to find their total or sum. The script describes how to use addition to combine the results of separate percentage calculations to get the final answer, such as adding '50 percent' and '10 percent' of a number.
💡Subtraction
Subtraction is the arithmetic operation of finding the difference between two numbers. In the script, subtraction is used to adjust the result of a percentage calculation, such as subtracting '5 percent' from '50 percent' of a number to get '45 percent'.
💡Half
Half refers to one of two equal parts into which a whole is divided. The script uses the concept of 'half' to simplify percentage calculations, such as finding half of the number 18 to determine '50 percent' of it.
💡Tenth
A tenth is one part of a whole when divided into ten equal parts. The video script uses the concept of a tenth to calculate small percentages, such as dividing a number by ten to find '10 percent' of it, as shown in the calculation of '10 of 860'.
Highlights

Introduction to a simple method for solving percentage questions.

A challenge to solve '60 of 42' within a limited time.

Revealing the answer to '60 of 42' as 25.2.

Explanation of the process to break down 60 into 50 and 10 for easier calculation.

How to find 50% of a number by taking half of it.

Calculating 10% of a number by dividing it by 10.

Summing up the parts to get the final answer for the example question.

Providing three new percentage problems for the audience to solve.

Encouraging the audience to pause the video and try solving the problems themselves.

Solving '30 of 61' by breaking it down into '10 of 61' and multiplying by 3.

Solving '90 of 860' by considering it as '100 of 860' and subtracting '10 of 860'.

Solving '45 of 18' by using the flexibility of percentages and adjusting from 50%.

The importance of flexibility in solving percentage problems.

Final answer for '45 of 18' calculated as 8.1.

Invitation for feedback and a call to action for likes and comments.

Acknowledgment of patrons and an invitation to support the Tech Math Channel.

Closing remarks and sign-off for the video.

Transcripts

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