Finding a Percent of a Number | Calculating Percentages

Math with Mr. J
6 Apr 202006:26
EducationalLearning
32 Likes 10 Comments

TLDRIn this educational video, Mr. J teaches viewers how to find a percentage of a number by demonstrating three examples. He explains that percentages can be calculated by multiplying the number by either the fraction form (e.g., 50% as 50/100) or the decimal form (e.g., 50% as 0.5) of the percentage. The video provides step-by-step solutions for finding 50% of 16, 25% of 20, and 65% of 15, highlighting the use of simplified fractions and the conversion of improper fractions to whole numbers with a remainder, ultimately arriving at the correct answers.

Takeaways
  • 😀 To find a percent of a number, multiply the number by the fraction or decimal form of the percent.
  • 📝 Example 1: 50% of 16 can be calculated by multiplying 16 by the fraction form (50/100) or the decimal form (0.50).
  • 🔢 Fraction form: 50/100 * 16 = 800/100 = 8.
  • 📉 Simplified fraction form: 1/2 * 16 = 16/2 = 8.
  • 🧮 Decimal form: 0.50 * 16 = 8.
  • 📏 Example 2: 25% of 20 can be calculated by multiplying 20 by the fraction form (25/100) or the decimal form (0.25).
  • 📊 Fraction form: 25/100 * 20 = 500/100 = 5.
  • ⚖️ Simplified fraction form: 1/4 * 20 = 20/4 = 5.
  • 🔍 Decimal form: 0.25 * 20 = 5.
  • 📌 Example 3: 65% of 15 can be calculated by multiplying 15 by the fraction form (65/100) or the decimal form (0.65).
  • 📐 Fraction form: 65/100 * 15 = 975/100 = 9.75.
  • 💡 Decimal form: 0.65 * 15 = 9.75.
  • 🧠 Converting improper fractions to mixed numbers or decimals can simplify the process.
  • 📖 Always remember that 'percent' means 'per 100'.
Q & A

  • What is the main topic of the video by Mr. J?

    -The main topic of the video is finding a percentage of a number by multiplying the number by the fraction or decimal form of the percentage.

  • How many examples does Mr. J cover in the video?

    -Mr. J covers three examples in the video to demonstrate the process of finding a percentage of a number.

  • What is the first example Mr. J uses to demonstrate finding a percentage of a number?

    -The first example is finding 50 percent of 16.

  • What are the two forms of the percentage that Mr. J uses to solve the first example?

    -Mr. J uses both the fraction form (50/100) and the decimal form (0.5) of the percentage to solve the first example.

  • What is the simplified fraction equivalent to 50 percent?

    -The simplified fraction equivalent to 50 percent is 1/2.

  • What is the result of multiplying 50 percent by 16 using the fraction form?

    -The result of multiplying 50 percent by 16 using the fraction form is 8.

  • What is the second example Mr. J discusses in the video?

    -The second example is finding 25 percent of 20.

  • What is the simplified fraction equivalent to 25 percent?

    -The simplified fraction equivalent to 25 percent is 1/4.

  • What is the result of multiplying 25 percent by 20 using the simplified fraction form?

    -The result of multiplying 25 percent by 20 using the simplified fraction form is 5.

  • What is the third example Mr. J presents in the video?

    -The third example is finding 65 percent of 15.

  • How does Mr. J convert the improper fraction 975/100 to a mixed number?

    -Mr. J converts the improper fraction 975/100 to the mixed number 9 and 75/100 by dividing 975 by 100, which gives 9 with a remainder of 75.

  • What is the final step Mr. J suggests to find the percentage of a number?

    -The final step Mr. J suggests is to multiply the number by the fractional or decimal form of the percentage to find that percentage of the number.

Outlines
00:00
📚 Understanding Percentage Calculations

In this educational video, Mr. J introduces the concept of finding a percentage of a number through multiplication. He explains that percentages can be represented in fraction form by placing the percentage over 100, or in decimal form by converting the percentage to hundredths. The video provides a step-by-step guide on how to calculate 50% of 16 using both fraction and decimal forms, simplifying the fraction form to one half for easier calculation. The process is then demonstrated for 25% of 20 and 65% of 15, emphasizing the conversion of improper fractions to whole numbers and the use of simplified fractions or decimals for more straightforward calculations. The key takeaway is that to find a percentage of a number, one should multiply the number by the percentage in either fraction or decimal form.

05:00
🔢 Applying Percentage Calculations to Examples

This paragraph continues the lesson on percentage calculations with practical examples. The first example involves calculating 25% of 20, which is done by multiplying 25 by 20 to get 500, then simplifying the improper fraction 500/100 to 5. The method is also shown using the simplified fraction 1/4, which yields the same result. The second example calculates 65% of 15 by multiplying 65 by 15 to get 975, then converting the improper fraction 975/100 to 9 and 75/100, or 9.75 in decimal form. The paragraph reinforces the method of finding a percentage of a number by multiplying the base number by the percentage in its fractional or decimal form, ensuring the viewer understands how to apply this concept to various problems.

Mindmap
Keywords
💡Percent
A percent represents a part per hundred. It is a way to express a ratio or fraction out of 100. In the video, percent is used to indicate parts of a whole, such as '50 percent of 16' which means 50 parts out of 100 parts of the number 16.
💡Fraction
A fraction is a way of expressing a number that is not whole. It consists of a numerator and a denominator. In the video, percentages are often converted into fractions, such as '50 percent' being converted to '50/100' to simplify multiplication with other numbers.
💡Decimal
A decimal is another way to represent fractions or percentages using powers of ten. In the video, percentages like '50 percent' are converted to decimals like '0.50' to multiply with other numbers, offering an alternative method to fractions.
💡Multiplication
Multiplication is a mathematical operation used to calculate the total of one number repeated a certain number of times. In the video, finding the percent of a number involves multiplying the original number by the fractional or decimal form of the percent.
💡Improper Fraction
An improper fraction is a fraction where the numerator is larger than the denominator. The video shows examples like '800/100' which is simplified to a whole number by division, demonstrating conversion from improper fractions to simpler forms.
💡Simplified Fraction
A simplified fraction is a fraction reduced to its simplest form, where the numerator and denominator have no common factors other than 1. In the video, '50/100' is simplified to '1/2' to make calculations more manageable.
💡Division
Division is a mathematical operation where one number is divided by another. The video uses division to convert improper fractions to whole numbers, like dividing '800 by 100' to get '8'.
💡Equivalent Fractions
Equivalent fractions are different fractions that represent the same value. The video illustrates this by showing that '50/100' is equivalent to '1/2', both representing the same portion of a whole.
💡Numerator
The numerator is the top number in a fraction, representing how many parts of the whole are being considered. In the video, the numerator changes when fractions are multiplied, like '50' in '50/100' becoming '800' when multiplied by '16'.
💡Denominator
The denominator is the bottom number in a fraction, indicating the total number of equal parts. In the video, denominators like '100' in '50/100' are used to convert percentages to fractions and simplify calculations.
💡Whole Number
A whole number is a number without fractions or decimals. The video demonstrates converting percentages of numbers into whole numbers, such as finding that '50 percent of 16' equals '8'.
Highlights

The video covers the method of finding a percent of a number by multiplication.

Two forms of percent are used: fraction form and decimal form.

Example 1 demonstrates calculating 50% of 16 using both fraction and decimal forms.

Fraction form of 50% is expressed as 50/100 or 50 hundredths.

The concept of 'of' is replaced with multiplication in calculations.

50 hundredths times 16 results in an improper fraction that simplifies to 8.

50 hundredths is equivalent to the simplified fraction 1/2.

Multiplying 1/2 by 16 yields the same result of 8.

Decimal form of 50% is 0.5, and multiplying by 16 also results in 8.

Example 2 shows calculating 25% of 20 using fraction and decimal forms.

25% as a fraction is 25/100, which simplifies to 1/4.

Multiplying 1/4 by 20 gives the result of 5.

Decimal form of 25% is 0.25, and the multiplication also yields 5.

Example 3 illustrates calculating 65% of 15 using fraction and decimal forms.

65% as a fraction is 65/100, which converts to 9 and 3/4 or 0.675 in decimal.

Multiplying 65/100 by 15 results in 9 and 3/4.

The decimal form 0.65 times 15 also results in 9 and 3/4.

The video concludes with a summary of the method for finding a percent of a number.

The method involves multiplying the number by the fractional or decimal form of the percent.

The video ends with a thank you and a sign-off until the next video.

Transcripts

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