/*! 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 26 Convert the given percent to a d... [FREE SOLUTION] | 91影视

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Chapter 7: Problem 26

Convert the given percent to a decimal. $$ 0.3344 \% $$

Short Answer

Expert verified
0.3344% as a decimal is 0.003344.

Step by step solution

01

Understanding Percent

A percent is a way of expressing a number as a fraction of 100. The symbol '%' literally means 'per hundred'. So, '0.3344%' means '0.3344 per hundred'.
02

Divide by 100

To convert a percentage to a decimal, you need to divide the percentage by 100. In our case, we divide 0.3344 by 100. This step helps remove the 'per hundred' part of the percentage.
03

Perform the Division

Calculate: \( \frac{0.3344}{100} = 0.003344 \).After performing the division, you'll get 0.003344, which is the decimal form of 0.3344%.

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Key Concepts

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

Percent Conversion
When we talk about percent conversion, we are referring to the process of changing a percentage into a decimal number. This is a common step in many mathematical operations, finance calculations, and data interpretation. A percentage is a fraction of 100, represented with the symbol '%'. For instance, 50% means 50 out of 100, or simply 0.5 when converted to a decimal. Percent conversion is useful in:
  • Understanding interest rates in finance
  • Calculating discounts and sale prices in shopping
  • Analyzing statistical data in research and studies
In our example, we want to convert 0.3344% into its decimal form. This involves recognizing that 0.3344% is effectively 0.3344 per 100, indicating that a conversion to a decimal requires a specific calculation.
Division Operation
The division operation is crucial for percent conversion. To convert a percentage to a decimal, you divide the percentage value by 100. This simple math operation transforms the percentage, eliminating the '%', which denotes division by 100. Let鈥檚 break it down:
  • Start with the percentage: 0.3344%.
  • Divide it by 100: 0.3344 梅 100.
The reason we use 100 in division is related to the definition of a percent and its role in representing parts out of a whole 100. By dividing by 100, you're essentially scaling the value down to its correct base unit as a decimal fraction. It maintains mathematical consistency across various calculations.
Decimal Representation
Decimal representation is how we express fractions using a base-10 system, which is the standard in most daily and academic settings. Here, we address converting percentages into their decimal forms to simplify or prepare values for further mathematical operations. In the case of converting 0.3344% into a decimal, we have:- After dividing by 100: The calculation is as follows:\[\frac{0.3344}{100} = 0.003344\] So, 0.3344% as a decimal is 0.003344.Understanding this decimal representation allows for:
  • Simplification in calculations and comparisons
  • Uniformity across fields such as science, engineering, and economics
  • Enhanced accuracy in data analytics and reporting
Decimal representation is important because it offers a consistent and easily understood way to express numbers in calculations and data.

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