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Chapter 7: Problem 38

Write each decimal as a percent. $$ 0.44 $$

Short Answer

Expert verified
0.44 as a percent is 44%.

Step by step solution

01

Understanding the Relationship between Decimals and Percents

Decimals can be converted to percents by multiplying the decimal number by 100. This is because percent literally means "per hundred." Consequently, when you multiply a decimal by 100, you are calculating how many "hundreds" the decimal represents.
02

Multiply the Decimal by 100

To convert the decimal 0.44 to a percent, multiply it by 100: \[ 0.44 \times 100 = 44 \]
03

Add the Percent Symbol

After multiplying the decimal by 100, simply add the percent symbol (%) to the result. Therefore, 0.44 as a percent is 44%.

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Key Concepts

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

Decimals
Decimals are a fundamental concept in mathematics that represent numbers that are not whole. They use a decimal point to separate the whole number part from the fractional part.
For example, in the decimal 0.44, the '0' is the whole number and '44' is the fractional part. This structure allows for precise representation and calculation of numbers that fall between whole numbers.
  • The decimal system is based on the powers of ten. This makes it easy to understand and use.
  • Decimals are widely used in various fields, such as finance and measurements, due to their precision.
To convert a decimal like 0.44 into a whole number format, you can multiply it by 100, which essentially shifts its value two places to the right.
Percents
Percents are a way to express fractions as a part of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." When a decimal is converted to a percent, it tells us how much of 100 that decimal represents.
For example, converting 0.44 to a percent tells us that 0.44 is equivalent to 44 out of 100.
  • To convert a decimal to a percent, multiply the decimal by 100.
  • After multiplication, add the percent symbol (%) to represent the conversion.
This conversion is particularly useful in situations where comparisons, discounts, interest rates, and probabilities are involved, as they are frequently expressed in percentage terms.
Mathematics Education
Understanding the conversion between decimals and percents is an important skill taught in mathematics education. This skill helps students grasp fundamental concepts of number representation and comparison.
Educational practices often introduce these conversions in a step-by-step manner, to build a strong foundation for more advanced math concepts.
  • Converting decimals to percents helps in visualizing and interpreting data effectively.
  • It also aids in solving real-life problems involving measurements, statistics, and financial calculations.
By mastering this concept, students gain a better understanding of how numbers work in different formats, enhancing both their analytical and problem-solving abilities.

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Most popular questions from this chapter

Write each percent as a decimal. $$ 62 \% $$

Find the simple interest. $$ \begin{array}{|c|c|c|} \hline \text { Principal } & \text { Rate } & \text { Time } \\ \hline \$ 1000 & 10 \% &18 \text { months } \\ \hline \end{array} $$

Write each percent as a fraction or mixed number in simplest form. $$ 2 \% $$

Find the amount of discount and the sale price. $$ \begin{array}{|c|c|c|c|c|} \hline \text { Original Price } & \text { Discount Rate } & \text { Amount of Discount } & \text { Sale Price } \\ \hline \$ 89 & 10 \% & & & \\ \hline \$ 74 & 20 \% & & & \\ \hline \$ 196.50 & 50 \% & & & \\ \hline \$ 110.60 & 40 \% & & & \\ \hline \$ 410 & 35 \% & & & \\ \hline \$ 370 & 25 \% & & & \\ \hline \$ 21,700 & 15 \% & & & \\ \hline \$ 17,800 & 12 \% & & & \\ \hline \end{array} $$

Perform each indicated operation. See Sections 4.3 through \(4.5,4.7,\) and 5.2 through \(5.4 .\) $$29.4 \div 0.7$$
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