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Chapter 7: Problem 12

Convert the percent to a decimal. $$0.3 \%$$

Short Answer

Expert verified
0.003

Step by step solution

01

Understand the Definition

A percentage represents a number out of 100. To convert a percentage to a decimal, divide by 100.
02

Set Up the Division

Take the given percentage, which is 0.3%, and set up the division: \[ 0.3 \, \% = \frac{0.3}{100} \]
03

Perform the Division

Divide 0.3 by 100. This operation can be done by moving the decimal point two places to the left: \[ 0.3 \div 100 = 0.003 \]

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Key Concepts

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

percentage
A percentage is a way to express a number as a fraction of 100. It is often denoted using the '%' symbol. For instance, 50% means 50 out of 100 or half. Percentages are widely used in various day-to-day scenarios like calculating discounts, interest rates, and statistics.
They simplify the comparison of proportions, making it easier to understand and communicate them. It's essential when working with percentages to remember that they are part of a whole, divided into 100 parts.
division
Division is one of the basic operations in arithmetic that involves splitting or distributing a number into equal parts. When converting a percentage to a decimal, we use division by 100. This is because 'per cent' literally means 'per hundred.'
For instance, if you have 0.3%, you divide 0.3 by 100. You set it up as \(\frac{0.3}{100}\). This can involve moving the decimal point to properly divide, as percentages often result in small decimal numbers.
decimal point
The decimal point is a dot used to separate the whole number part from the fractional part of a number in a decimal notation. In percentage to decimal conversion, moving the decimal point is key. When dividing by 100, you move the decimal point two places to the left.
For example, in converting 0.3% to a decimal, moving the decimal point two places to the left results in 0.003. The decimal point helps maintain the correct place value of digits, ensuring accurate calculations and representations. This slight shift makes all the difference, showing how small the percentage really is in decimal form.

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Most popular questions from this chapter

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Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{3}{7}$$
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