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Chapter 7: Problem 50

Write each decimal as a percent. $$ 0.8 $$

Short Answer

Expert verified
0.8 as a percent is 80%.

Step by step solution

01

Understand Percent Meaning

Recall that a percent is a way of expressing a number as a fraction of 100. To convert a decimal to a percent, we multiply the decimal by 100.
02

Convert Decimal to Percent

Multiply 0.8 by 100: \[0.8 \times 100 = 80\]
03

Write the Result as a Percent

Add the percent sign (%) to the result from the previous step to express it as a percent: 80%.

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Key Concepts

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

Percent Conversion
Converting a decimal to a percent is a practical and easy way to understand proportions and comparisons. The word "percent" comes from the Latin "per centum," meaning "by the hundred." Essentially, a percent is just a number compared to 100. When you want to convert a decimal to a percent, you're finding out how much that decimal would be if you had 100 equal parts.
This involves simply multiplying the decimal by 100. For example, with the decimal 0.8, multiplying by 100 converts it into a percent:
  • Multiply: \[ 0.8 \times 100 \]
  • Result: \[ 80 \]
  • Write as Percent: \[ 80\% \]
This multiplication operation shifts the decimal point two places to the right, a quick trick to remember when doing the conversion.
Decimal Multiplication
Decimal multiplication is the key operation you need to perform in percent conversion. When multiplying any decimal by 100, you are essentially changing the scale of the number to reflect a comparison to 100 parts. Have you noticed how the decimal point "jumps"? This is really just a property of multiplication. Multiplying by 100 shifts the decimal two places to the right because 100 has two zeros. Here's how it works:
  • For the decimal 0.8, multiply it by 100
  • The decimal "jumps" two places to the right making it 80.
Whether it's 0.8 becoming 80 or 0.03 becoming 3, multiplication by 100 heightens the scale of any decimal to a whole number suitable for percentage.
It's a simple yet powerful way to change expressions in math!
Fraction of 100
The fundamental idea behind percent is that it represents a "fraction of 100." Whenever you see a percentage, think about "out of 100." Let's examine this concept a little more closely:
  • A decimal like 0.8 can be seen as a fraction of 1, or \[\frac{8}{10}\]
  • To express it as a percent, it becomes a fraction of 100.
  • We multiply by 100, transforming it to \[\frac{80}{100}\], which is equivalent to 80%.
By viewing percentages as fractions of 100, the conversion between decimals and percentages becomes straightforward. Just think of percentages as fractions that out of a whole, specifically 100 units.
Next time when converting a decimal to a percent, remember it鈥檚 just adjusting the numerator in your fraction to reach a base of 100.

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Most popular questions from this chapter

Perform the indicated operations. \(\frac{3}{11} \div \frac{9}{22} \cdot \frac{1}{3}\)

Solve. What number is \(53 \%\) of \(130 ?\)

Perform the indicated operations. $$ 6 \frac{2}{3}-4 \frac{5}{6} $$

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

For each exercise, determine whether the number, \(y\), is (a) equal to \(45,\) (b) greater than 45 , or \((\) ) less than 45 . $$ 180 \% \text { of } y \text { is } 45 $$
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