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Chapter 8: Problem 38

What is \(16 \%\) of 90 ?

Short Answer

Expert verified
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Step by step solution

01

Recognize the Percentage

Recognize the percentage, which in this case is 16%.
02

Recognize the Whole

Recognize the 'whole', which in this case is 90.
03

Calculate the Percentage of the Whole

Now, calculate the 16% of 90, which can be done by multiplying 90 with 16% (0.16 in decimal form).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mathematical Percentage
Understanding mathematical percentages is crucial for solving a wide range of problems, from calculating discounts while shopping to analyzing data in reports. In essence, a percentage is a way to express a number as a fraction of 100. The symbol used to denote percentage is '%'.

To convert a percentage into a decimal, which is often required for calculations, you simply divide it by 100. For example, 16% as a decimal is 0.16. Conversely, to convert a decimal back to a percentage, you multiply it by 100. It's essential to be comfortable with these conversions to tackle percentage problems efficiently.
Percentage Problems
Percentage problems typically ask you to find what a specified percentage is of a given number, or to determine what percentage one number is of another. These types of questions are pervasive in academic tests, financial calculations, and real-world scenarios.

To solve these problems, always begin by identifying the percentage and what it is being applied to, often referred to as the 'whole'. Then, depending on the problem, convert the percentage to a decimal and proceed with the multiplication or division. When improving on exercises, it's helpful to consider real-world applications or visual aids like pie charts, which can illustrate the concept of 'part of a whole' more tangibly.
Basic Arithmetic Operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. They are the building blocks for solving a wide variety of mathematical problems, including those involving percentages. Multiplication is especially relevant when you are required to calculate a percentage of a number. For example, to find 16% of 90, you multiply 90 (the whole) by 0.16 (the decimal form of 16%).

Understanding these operations and their properties can greatly simplify complex mathematical tasks. For students, practicing with different types of numbers, such as whole numbers, decimals, and fractions, can improve their confidence and proficiency in handling diverse mathematical challenges ranging from simple arithmetic to more advanced calculations.

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Most popular questions from this chapter

Make Sense? In Exercises 25-30, determine whether each statement makes sense or does not make sense, and explain your reasoning. If I purchase a car using money that I've saved, I can eliminate paying interest on a car loan, but then I have to give up the interest income I could have earned on my savings.

In Exercises 1-10, \((n)\) a. Find the value of each annuity. Round to the nearest dollar. b. Find the interest. $$ \begin{array}{|l|l|l|} \hline \begin{array}{l} \$ 3000 \text { at the end of } \\ \text { each year } \end{array} & \begin{array}{l} 4 \% \text { compounded } \\ \text { annually } \end{array} & 20 \text { years } \\ \hline \end{array} $$

What is meant by the value of an annuity?

In Exercises 1-10, \((n)\) a. Find the value of each annuity. Round to the nearest dollar. b. Find the interest. $$ \begin{array}{l|l|l} \$ 100 \text { at the end of } & 4.5 \% \text { compounded } & 25 \text { years } \\ \text { every six months } & \text { semiannually } & \\ \hline \end{array} $$

In Exercises 11-18, a. Determine the periodic deposit. Round up to the nearest dollar. b. How much of the financial goal comes from deposits and how much comes from interest? \(\$$ ? at the end of each year \)5 \%\( compounded annually 18 years \)\$ 150,000$
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