/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 21 Write each percent as a decimal.... [FREE SOLUTION] | 91影视

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Chapter 7: Problem 21

Write each percent as a decimal. $$ 32.58 \% $$

Short Answer

Expert verified
32.58% as a decimal is 0.3258.

Step by step solution

01

Understand the concept of percent

A percent refers to a number out of 100. So, 32.58% can be interpreted as 32.58 out of 100.
02

Convert percent to decimal

To convert a percent to a decimal, divide by 100. This means you shift the decimal point two places to the left. For 32.58%, divide 32.58 by 100.
03

Perform the division

Calculate \( \frac{32.58}{100} \). This yields 0.3258, since moving the decimal point two places to the left in a number with two decimal places simply removes the percent sign.

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Key Concepts

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

Percent Concept
Percent is a term rooted deeply in the concept of percentages representing a portion out of 100. The symbol '%' stands for 'per hundred,' which simplifies expressing fractions of 100.
  • If you say 25%, it means 25 out of 100.
  • Percentages offer a straightforward way to compare ratios and proportions.
Consider this with money: if 100 coins is the whole (100%), then 32.58 coins represent 32.58%. This concept helps in visualizing real-world situations like discounts in shopping, statistics, or outcomes in probability experiments. It's crucial to grasp this representation as it serves as a foundation for understanding the broader world of decimals and fractions.
Converting Percentages
Converting percentages into decimals is a handy skill in mathematics for simplifying calculations and comparisons. The key rule here is to move the decimal point two places to the left. When you convert 32.58% to a decimal:
  • You take away the '%' and divide the number by 100.
  • This shifting of the decimal point converts the percentage to its decimal form: 0.3258.
Remember, the main idea is that percent means 'out of 100.' By dividing by 100, we can accurately find its decimal equivalent. This conversion is widely utilized in financial computations and statistical data analysis, making it a valuable skill to master.
Basic Arithmetic Operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. Here, we focus on division, as it plays a crucial role in percent to decimal conversion. When you convert a percentage to a decimal, the division operation simplifies the expression by reducing the percentage down by a factor of 100.
  • For example, dividing 32.58 by 100 can be thought of as moving the decimal point two steps to the left.
  • This transforms 32.58% to a more mathematically convenient form: 0.3258.
Understanding this operation helps with not just conversions but also with performing calculations involving percentages accurately, such as interest rates or statistical analysis. It's a fundamental step in many mathematical processes.

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Most popular questions from this chapter

Write each percent as a decimal and a fraction. In the United States recently, \(49.2 \%\) of households had no landlines, just cell phones.

Perform the indicated operations. \(\left(\frac{2}{3}\right)\left(-\frac{1}{3}\right)-\left(\frac{9}{10}\right)\left(\frac{2}{5}\right)\)

A diamond necklace sells for \(\$ 24,966 .\) If the tax rate is \(7.5 \%,\) find the total price.

Complete each table. $$\begin{array}{|c|c|c|}\hline \text { Percent } & \text { Decimal } & \text { Fraction } \\\\\hline 60 \% & & \\\\\hline & 0.235 & \\\\\hline & & \frac{4}{5} \\\\\hline 33 \frac{1}{3} \% & & \\\\\hline & &\frac{7}{8} \\\ \hline 7.5 \% & & \\\\\hline\end{array}$$

In your own words, explain how to solve a percent equation.
See all solutions

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