How to work out percentages INSTANTLY

tecmath
5 Sept 202305:10
EducationalLearning
32 Likes 10 Comments

TLDRIn this Tech Math Channel video, host Josh demonstrates an easy mental math technique for calculating percentages. He simplifies the process by dividing the percentage by 10 twice or dividing the whole number by 100, then multiplying the results. Josh walks viewers through examples like calculating 61% of 80 and 80% of 70, showing how to quickly arrive at answers like 48.8 and 56, respectively. His method emphasizes simplifying the problem to make mental calculations more manageable and efficient.

Takeaways
  • 😀 The video is a tutorial on calculating percentages mentally.
  • 🔢 The first example given is 61% of 80, which equals 48.8.
  • 📚 The presenter explains that 'percent' means 'per hundred', or dividing by 100.
  • 💡 A trick for mental calculation is dividing by 10 twice instead of dividing by 100 once.
  • 👨‍🏫 The presenter demonstrates the trick with the example of 61% of 80, simplifying it to 6 * 8 and adding 0.1 * 8.
  • 📈 The presenter provides additional examples: 3% of 400, 80% of 70, 24% of 60, and 133% of 1200.
  • 📝 For 3% of 400, the presenter suggests dividing by 100 first, simplifying it to 3 * 4.
  • 🧩 For 80% of 70, dividing by 10 twice results in 8 * 7.
  • 📉 The calculation for 24% of 60 involves dividing by 10 twice, resulting in 2.4 * 6.
  • 🎯 For 133% of 1200, the presenter suggests dividing by 100 first, simplifying it to 13 * 12.
  • 📝 The presenter encourages viewers to practice these mental math techniques and provides a call-to-action for feedback and subscriptions.
Q & A

  • What is the main topic of the Tech Math Channel video?

    -The main topic of the video is to demonstrate the easiest way to calculate percentages in your head.

  • What is the first example given in the video to illustrate the percentage calculation method?

    -The first example is calculating 61% of 80, which equals 48.8.

  • What does the percentage symbol (%) mean in terms of division?

    -The percentage symbol means 'per hundred,' which translates to dividing by 100.

  • Why is dividing by 100 at any stage beneficial when calculating percentages?

    -Dividing by 100 at any stage can simplify the calculation process and make it easier to work out percentages in your head.

  • What is the alternative method suggested in the video to simplify percentage calculations?

    -The alternative method is to divide by 10 twice because 10 multiplied by 10 equals 100, which simplifies the calculation.

  • How does the video suggest to calculate 61% of 80 using the simplified method?

    -By dividing both 61 and 80 by 10 to get 6.1 and 8, respectively, then multiplying these two numbers to get 48, and finally adding 0.8 to reach the answer of 48.8.

  • What is the result of 3% of 400 using the simplified method?

    -Dividing 400 by 100 to get 4, then multiplying by 3 to get the result of 12.

  • How is 80% of 70 calculated in the video?

    -By dividing 80 by 10 to get 8 and 70 by 10 to get 7, then multiplying these two numbers to get the result of 56.

  • What is the result of 24% of 60 using the simplified method?

    -Dividing 60 by 10 to get 6 and 24 by 10 to get 2.4, then multiplying 2.4 by 6 to get 14.4.

  • How does the video simplify the calculation of 133% of 1200?

    -By dividing 1200 by 100 to get 12, then multiplying 13 by 12 to get the result of 156.

  • What does the video suggest as a way to improve your understanding of percentage calculations?

    -The video suggests practicing the simplified method by pausing the video and trying the calculations in real-time or in the comments section.

Outlines
00:00
📚 Mastering Mental Percentage Calculations

In the first paragraph, Josh from Tech Math Channel introduces a simple method for calculating percentages mentally. He starts with an example: finding 61% of 80, which he solves to demonstrate the technique. Josh explains that percentages mean 'per hundred' and suggests breaking down the problem by dividing by 10 twice instead of dividing by 100 directly. This simplifies the calculation process. He then provides a step-by-step breakdown of the example, showing how to simplify the numbers and perform the mental calculation efficiently. Josh encourages viewers to try this method with several other examples, including 3% of 400, 80% of 70, 24% of 60, and 133% of 1,200, emphasizing the ease of this approach for quick mental math.

05:00
👋 Closing Remarks and Call to Support

In the second paragraph, Josh concludes the video by thanking viewers for watching and inviting them to support the Tech Math Channel. He provides a link in the description for those interested in supporting the channel and expresses gratitude for the viewers' time. Josh signs off with a friendly 'bye' and looks forward to the next video, maintaining a positive and engaging tone throughout the closing remarks.

Mindmap
Keywords
💡Percentage
A percentage is a way of expressing a number as a fraction of 100. It is often denoted by the percent sign (%). In the video, percentages are used to represent parts of a whole, such as 61% of 80, and are central to the theme of calculating percentages mentally. The script uses the example of 61% of 80 to demonstrate the mental calculation process.
💡Mental Calculation
Mental calculation refers to the process of performing arithmetic operations in one's head without the use of external tools like calculators or paper. The video's main theme revolves around mental calculation techniques for percentages, showing viewers how to quickly compute them.
💡Divide by 100
In the context of percentages, dividing by 100 is a common step to convert a percentage into a decimal for easier calculation. The script explains that one can divide by 100 at any stage to simplify the calculation of percentages, as seen in the example of converting 61% into 0.61.
💡Percent Symbol
The percent symbol (%) is used to denote a proportion of 100. The script explains that the term 'percent' is derived from 'per cent', which literally means 'per hundred', and is used to represent the division of a number by 100.
💡Multiplication
Multiplication is a fundamental arithmetic operation where one number is used to count the number of times another number is added together. In the script, multiplication is used after simplifying the percentage to find out what a certain percentage of a number is, such as multiplying 6.1 by 8 to find 61% of 80.
💡Division
Division is the process of splitting a number into equal parts. The video script uses division to simplify the calculation of percentages by dividing both the percentage and the total number by 10, making the mental calculation more manageable.
💡Decimal Place
A decimal place refers to the position of numbers to the right of the decimal point in a number. In the context of the script, moving the decimal place is a technique used to simplify percentages, such as converting 24% to 2.4 by moving the decimal one place to the left.
💡Example
Examples in the script are used to illustrate the process of mental calculation of percentages. Each example, such as calculating 3% of 400 or 80% of 70, demonstrates a step-by-step approach to finding the answer without a calculator.
💡Simplify
To simplify in mathematics means to make a problem easier to solve by reducing it to its most basic form. The script emphasizes simplifying the calculation of percentages by dividing by 10 twice, which is a method to make mental calculations more straightforward.
💡Mental Math Tricks
Mental math tricks are techniques or shortcuts that allow for quick calculations in the head. The video introduces a trick for calculating percentages by breaking them down into smaller, more manageable numbers, which is a key part of the content.
💡Comment
In the context of the video script, a comment refers to viewer feedback on the video content, which can be positive or negative. The script encourages viewers to share their thoughts on the mental calculation method presented.
Highlights

Introduction to the easiest way of calculating percentages mentally.

Example calculation: 61% of 80 equals 48.8, demonstrating the method's quickness.

Explanation of the percentage symbol's meaning as 'per hundred'.

Traditional method of calculating percentages involves dividing by 100 and then multiplying.

Trick to simplify calculations by dividing by 100 at any stage.

Alternative method of simplifying calculations by dividing by 10 twice.

Step-by-step breakdown of calculating 61% of 80 using the division by 10 method.

Final multiplication step to get the result of 48.8 for 61% of 80.

Invitation to try the method with several example problems.

Simplified calculation of 3% of 400 by dividing by 100 first.

Calculation of 80% of 70 using division by 10 twice for simplicity.

Method applied to calculate 24% of 60, emphasizing the decimal shift.

Final example of calculating 133% of 1200 with straightforward division by 100.

Summary of the mental calculation technique for percentages.

Encouragement for viewers to share their thoughts and feedback in the comments.

Reminder to like, subscribe, and support the Tech Math Channel.

Acknowledgment of patrons and sign-off for the video.

Transcripts

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