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Chapter 7: Problem 46

Write each decimal as a percent. $$ 0.1115 $$

Short Answer

Expert verified
0.1115 as a percent is 11.15%.

Step by step solution

01

Understand the Decimal to Percent Conversion

To convert a decimal to a percent, you multiply the decimal number by 100. This is because 'percent' means 'per hundred', so essentially, you are finding the equivalent value out of 100.
02

Multiply by 100

Take the decimal number 0.1115 and multiply by 100 to begin the conversion process. This means calculating: \[ 0.1115 \times 100 = 11.15 \]
03

Add the Percent Sign

After multiplying by 100, add a percent sign (%) to your result to indicate that the number is now a percentage. So, 11.15 becomes 11.15%.

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Key Concepts

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

Decimal to Percent Conversion
Converting a decimal to a percent is a straightforward process that can be understood with a simple multiplication. The term "percent" originates from Latin and means "per hundred." Thus, whenever you need to convert a decimal to its percentage equivalent, you're determining how that decimal would compare out of a total of 100. To perform the conversion:
  • Take your decimal number.
  • Multiply it by 100.
  • Finally, affix a percent sign (%) to the result.
This multiplication step shifts the decimal point two places to the right, turning your decimal into a percentage. For example, converting the decimal 0.1115 into a percent requires multiplying it by 100, resulting in 11.15. Hence, 0.1115 equals 11.15% in percentage form.
Percent
A percent is a representation of a number as a fraction of 100. The word "percent" itself comes from the words "per cent," which literally means "per hundred." When you say something is a percent, you're referring to how much of a whole that part is if the whole is divided into 100 equal pieces. For instance, saying 11.15% means 11.15 out of every 100 parts. Percentages are especially useful in expressing proportions, changes, and comparisons in an intuitive manner. You'll often see them used in everyday life for discounts, grade marks, and statistical averages.
Multiplying Decimals
When converting decimals to percentages, one of the key steps is multiplying decimals. This is the process by which you take a decimal number and increase its scale. In the case of decimal to percent conversion, you multiply by 100. Multiplication with decimals follows the same rules as multiplying whole numbers:
  • Align the numbers based on their decimal points when needed.
  • Ignore the decimal points initially and multiply the numbers as if they were whole number.
  • Count the total number of decimal places in the factors, and insert that many decimal places in the product.
  • Shift the decimal point as needed.
In our example, multiplying 0.1115 by 100 moves the decimal two places to the right, resulting in 11.15. This outcome demonstrates the scale increase and is a crucial part in the conversion process from decimals into percentages.

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Most popular questions from this chapter

Write each percent as a decimal and a fraction. Spending for advertisements on the Internet in 2016 increased by \(14.2 \%\) over spending in 2015.

Write each percent as a decimal and a fraction. From 2005 to \(2015,\) use of smoked tobacco products in the United States decreased by \(28.6 \%\).

Perform each indicated operation. See Sections 4.3 through \(4.5,4.7,\) and 5.2 through \(5.4 .\) $$0.12 \times 38$$

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

In your own words, explain how to write a percent as a decimal.
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