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Chapter 8: Problem 37

Write each decimal number as a percent. $$0.96$$

Short Answer

Expert verified
Question: Convert the decimal number 0.96 into a percentage. Answer: 96%

Step by step solution

01

Multiply by 100

To convert the decimal number to a percentage, you need to multiply it by 100. In this case, multiply 0.96 by 100. $$0.96 \times 100 = 96$$
02

Add the percentage symbol

After multiplying the decimal by 100, add the percentage symbol (%) to the result. $$96\%$$ So, the decimal number $$0.96$$ written as a percent is $$96\%$$.

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Key Concepts

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

Decimal Numbers
Decimal numbers are a way to represent fractions without using a fraction bar. They are often used in real life for simplicity and ease of understanding. When a decimal number like 0.96 is used, the zero represents units and the digits after the decimal point signify fractions of ten.
For instance, 0.96 means 96 hundredths, which can also be written as \( \frac{96}{100} \).
Understanding decimals is essential for grasping other math concepts, such as percentages and ratios.
  • The place value of digits in decimal numbers helps in positioning them accurately.
  • Each place after the decimal signifies a division by 10. For example, the first place is tenths, the second hundredths, and so on.
Recognizing these concepts helps simplify converting decimals to other formats, such as percentages.
Percentages
Percentages give us a way to express numbers as parts of 100, making them easier to compare. For example, 96% means 96 parts out of 100. These are prevalent in everyday use, such as expressing discounts, interest rates, or statistical data.
  • They simplify the understanding of proportions and likelihoods in diverse fields.
  • Percentages make it convenient to depict growth or decrease, conveying complex mathematical ideas in a simple way.
In mathematics, understanding percentages is crucial as they connect to ratios, decimals, and fractions while presenting data in a universally comprehensible format.
Mathematical Conversions
Mathematical conversions involve changing numbers from one form to another鈥攕uch as from decimals to percentages. The conversion process showcases relationships between different numerical representations.
Converting a decimal to a percentage is straightforward through multiplication by 100. This aligns the fraction form with the percentage model, which is based on an equivalent of 100 parts.
  • It helps to imagine percentages as decimals that have been scaled for easier comparison.
  • The conversion process uses basic operations like multiplication and understanding base-10 fractions.
Once masterfully navigated, conversions between formats become intuitive and enrich your mathematical toolkit.
Basic Arithmetic
Basic arithmetic involves fundamental operations like addition, subtraction, multiplication, and division. These operations form the backbone of most mathematical processes and are essential for understanding conversions. For instance, multiplying a decimal number by 100 to convert it into a percentage is a simple arithmetic operation.
Here, using multiplication allows us to move the decimal place two places to the right, effectively transforming tenths and hundredths into whole numbers.
  • Arithmetic operations help solve real-world problems and perform crucial conversions.
  • Mastering these basics aids in enhancing both computational fluency and mathematical confidence.
These essential skills are the tools you use to manipulate numbers effectively and precisely in various mathematical explorations.

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Most popular questions from this chapter

Write each fraction as a percent. $$\frac{1}{4}$$

Write each decimal number as a percent. $$0.01$$

Explain the mistake, then solve the problem correctly. \(5 \%\) of what number is \(24 ?\) $$ \begin{array}{l} \frac{5}{100}=\frac{n}{24} \\ \frac{120}{100}=\frac{100 n}{100} \\ 1.2=n \end{array} $$

Write each decimal number as a percent. $$1.2$$

Translate to an equation and solve. \(120 \%\) of what number is \(65.52 ?\)
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