Crackling Calculation: Unveiling the Mystery of 15 Out of 90

What is 15 of 90? Find out the answer to this mathematical equation and learn how to calculate percentages with ease.

Have you ever wondered what 15% of 90 is? If so, you're in luck! In this article, we will delve into the fascinating world of percentages and uncover the value of 15% of 90. Whether you're a math enthusiast looking to sharpen your skills or simply curious about how percentages work, this exploration will provide you with the answers you seek. So, let's dive right in and discover the hidden secrets behind the calculation of 15% of 90!

Introduction

In mathematics, it is essential to understand the concept of percentages and how they relate to different numbers. One common scenario involves finding a specific percentage of a given number. In this article, we will explore the question, What is 15% of 90? and provide a step-by-step explanation to solve this problem.

Understanding Percentages

Before diving into the calculation, let's clarify what percentages represent. A percentage is a way to express a portion or fraction of a whole out of 100. For example, 50% means 50 out of 100, or half of the whole. In our case, we'll be determining 15% of 90, which means finding 15 out of every 100 units of 90.

Step 1: Convert Percentage to Decimal

To calculate a percentage, we begin by converting it into decimal form. This conversion allows us to easily multiply it with the given number. In our case, we convert 15% into decimal form by dividing it by 100: 15 ÷ 100 = 0.15.

Step 2: Multiply the Decimal by the Given Number

Now that we have the decimal form of the percentage, we can proceed to find 15% of 90. We multiply 0.15 (the decimal) by 90 (the given number): 0.15 × 90 = 13.5.

Step 3: Interpret the Result

After performing the multiplication, we obtain the value 13.5. This means that 15% of 90 is equal to 13.5. In other words, if we take 15 out of every 100 units of 90, we will have a total of 13.5 units.

Alternative Method: Proportions

Another way to solve this problem is by setting up a proportion between the given percentage and the unknown value. Let's denote the unknown value as x. The proportion can be written as follows: 15/100 = x/90.

Solving the Proportion

To solve the proportion, we cross-multiply: 15 × 90 = 100x. This simplifies to 1350 = 100x.

Calculating the Unknown Value

Next, we divide both sides of the equation by 100 to isolate the variable: 1350 ÷ 100 = x. The result is x = 13.5, which matches our previous calculation.

Why Is It Important?

Understanding how to calculate percentages is crucial in various real-life situations. Whether you're calculating discounts while shopping, determining interest rates on loans, or analyzing statistical data, percentages play a significant role in everyday life. Developing a solid understanding of percentages allows for accurate calculations and better decision-making.

Conclusion

In conclusion, finding 15% of 90 involves converting the percentage into decimal form (0.15), multiplying it by the given number (90), and interpreting the result as 13.5. This calculation can also be approached by setting up a proportion and solving for the unknown value. Understanding percentages is essential for making informed decisions in many aspects of life, making it a valuable concept to grasp in mathematics.

Introduction: Understanding the concept of percentages

Percentages are an essential mathematical concept that represents parts of a whole in terms of a hundred. They are used widely in various fields, including finance, statistics, and everyday calculations. Understanding percentages allows us to compare and analyze data, make informed decisions, and solve problems efficiently. In this article, we will explore the concept of percentages by specifically focusing on the calculation of 15% of 90.

Defining 15%: Explaining what it means to take 15% of a number

When we say 15% of a number, we are referring to the fraction of that number equal to 15 parts out of 100. In other words, it signifies taking a specific portion of a whole value. For example, if we have a number x and want to find 15% of it, we are essentially determining what 15% of x is.

The given number: Highlighting the importance of the number 90 in this context

In our case, the given number is 90. This number is crucial as it represents the whole value from which we will calculate 15%. Understanding the given number's significance helps us visualize the fraction of the whole we are dealing with.

Calculation: Demonstrating the step-by-step process of finding 15% of 90

To calculate 15% of 90, we follow a straightforward procedure:

Step 1: Convert the percentage to a decimal. In this case, 15% becomes 0.15.
Step 2: Multiply the decimal by the given number. 0.15 multiplied by 90 equals 13.5.

Therefore, 15% of 90 is 13.5.

Mental math shortcut: Sharing a quick trick for calculating 15% of a number without a calculator

Calculating percentages mentally can be useful in situations where a calculator is not readily available. One quick trick to find 15% of a number is to divide the number by 10 and then add half of that result to it. For example:

Dividing 90 by 10 gives us 9. Half of 9 is 4.5. Adding 4.5 to 90 yields 94.5, which is 15% of 90.

Practical application: Discussing real-life situations where knowing 15% of a value might be useful

Understanding 15% of a value has practical applications in various scenarios. For instance, when dining at a restaurant, calculating the tip for a 15% gratuity on the total bill becomes effortless. Additionally, when shopping, being aware of a 15% discount on an item's original price can help make informed purchasing decisions.

Cross-multiplication method: Presenting an alternative approach to finding 15% of 90

Another method to calculate 15% of 90 involves using cross-multiplication:

Let x be 15% of 90.

We set up the equation: 15/100 = x/90.

Cross-multiplying, we get: 15 * 90 = 100 * x.

Simplifying further, we find: 1350 = 100x.

Dividing both sides by 100, we obtain: x = 13.5.

Thus, we find that 15% of 90 is 13.5.

Comparing percentages: Identifying how 15% relates to other commonly used percentages

Understanding how 15% compares to other frequently encountered percentages can provide a helpful frame of reference. For example:

15% is equivalent to one-sixth (1/6) or 0.15 as a decimal.
15% is half of 30%.
15% is three times smaller than 45%.
15% is six times larger than 2.5%.

Visual representation: Visualizing what 15% of 90 looks like through diagrams or illustrations

Visual representations can aid in comprehending the concept of 15% of 90. One way to visualize this is by using a rectangular diagram. Consider a rectangle representing the whole value of 90. To illustrate 15%, divide the rectangle into ten equal parts vertically and six equal parts horizontally. Shade fifteen of these smaller rectangles. The shaded area represents 15% of 90.

Importance of percentages: Emphasizing the significance of understanding percentages in everyday life

Understanding percentages is vital in everyday life. They enable us to interpret data, make informed decisions, and calculate discounts, tips, taxes, and interest rates accurately. From managing personal finances to analyzing statistical trends, percentages are a fundamental tool for problem-solving and critical thinking. Mastering the concept of percentages equips us with valuable skills applicable across various disciplines and enhances our overall mathematical literacy.

From a mathematical perspective, 15% of 90 can be calculated by multiplying 90 by 0.15, which is equivalent to dividing 90 by 100 and then multiplying the result by 15. This calculation yields a value of 13.5. In other words, 15% of 90 is equal to 13.5.To break it down further, here is a step-by-step explanation of how to calculate 15% of 90:1. Divide 90 by 100: 90 ÷ 100 = 0.92. Multiply the result by 15: 0.9 × 15 = 13.5Hence, 15% of 90 is 13.5. It is important to note that percentages are used to express a portion or fraction of a whole. In this case, when we talk about 15% of 90, we are referring to the 15% portion of the total value of 90.

Thank you for visiting our blog and taking the time to learn about the intriguing mathematical concept of 15% of 90. We hope that this article has provided you with a clear understanding of how to calculate this percentage and its practical applications. As we conclude, let's summarize the key points discussed in this article.

First and foremost, we established that percentages are a way to express a fraction of a whole number out of 100. In the case of 15% of 90, we need to determine what 15% of the number 90 is. To calculate this, we multiply 90 by 15 and divide the result by 100. The final outcome is 13.5. Therefore, 15% of 90 is equal to 13.5.

Understanding percentages is essential in various real-life situations. For example, when shopping, knowing the percentage of discounts can help us make informed decisions about whether a sale is truly beneficial. Additionally, percentages are used in finance, statistics, and many other fields to analyze data and make predictions.

In conclusion, familiarizing yourself with the concept of percentages, such as 15% of 90, can greatly enhance your mathematical skills and problem-solving abilities. Whether you encounter percentages in everyday life or in more complex scenarios, mastering their calculation will undoubtedly prove valuable. We hope that this article has been informative and useful, and we invite you to explore more fascinating topics on our blog.

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