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Chapter 2: Problem 81

Convert each percent to a decimal. $$ 129 \% $$

Short Answer

Expert verified
1.29

Step by step solution

01

Understand the Concept of Percent

A percent represents a part per hundred. To convert a percent to a decimal, move the decimal point two places to the left.
02

Move the Decimal Point

For the percent 129%, start by locating the implicit decimal point at the end of the number: 129. Move the decimal point two places to the left.
03

Rewrite as a Decimal

Moving the decimal point two places to the left, 129% becomes 1.29.

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Key Concepts

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

percent
A percent is a way to express a number as a part of a whole, where the whole is 100. Essentially, it is a ratio that compares a number to 100. For instance, when we say 50%, we mean 50 out of 100 or 50/100. This also means that 50% can be expressed as a fraction (50/100) or as a decimal (0.50). Percentages are commonly used in everyday life, for instance, in sales discounts, interest rates, and statistics. Understanding the concept of percent is crucial before attempting conversion to other forms like decimals.
decimal conversion
Converting a percent to a decimal is a straightforward process once you understand that percents are essentially fractions out of 100. To convert, you divide the percentage by 100. For example, if you have 75%, you divide it by 100 to get 0.75. This can also be explained by thinking of the percent sign (%) as a shortcut for division by 100. So, 129% is the same as saying 129 / 100, which equals 1.29. Remember, the key to converting is to understand the relation between percentages and their decimal counterparts.
move decimal point
One of the quickest methods to convert a percentage to a decimal is by moving the decimal point two places to the left. This technique works because moving the decimal point two places to the left is equivalent to dividing by 100. For instance, take 129%. The implicit decimal point in 129 is at the end of the number (129.) To convert 129% to a decimal, you simply move the decimal point two places to the left, which gives you 1.29. This method is efficient and easy to use, especially for larger percentages. To recap: identify the position of the decimal point, and then shift it two places to the left.

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