Problem 78 Convert each percent to a decima... [FREE SOLUTION]

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Chapter 2: Problem 78

Convert each percent to a decimal. $$ 11 \% $$

Short Answer

Expert verified

0.11

Step by step solution

Understand Percent

A percent represents a part of 100. For example, 11% means 11 parts out of 100.

Convert Percent to Decimal

To convert a percent to a decimal, divide the given percent by 100. This is equivalent to moving the decimal point two places to the left.

Apply the Conversion

For 11%, divide 11 by 100: \[ \frac{11}{100} = 0.11 \]

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Key Concepts

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

Percent

Understanding what a percent is can make many mathematical operations easier. The term 'percent' comes from Latin 'per centum,' which means 'by the hundred.' This is why a percent represents a fraction out of 100. For example, when we say 11%, it means 11 out of 100 parts. If you had a pizza with 100 slices, 11% of it would be 11 slices. This concept is foundational because many real-life situations, like discounts and interest rates, use percents. Always remember that a percent is just another way to express a fraction or a part of a whole.

Decimal Conversion

One of the key skills in math is converting a percent to a decimal. This conversion is straightforward when you follow a simple rule: divide the percent by 100. For example, to convert 11% to a decimal, you divide 11 by 100. This mathematical operation shifts the decimal point two places to the left. So, 11% becomes 0.11. Another way to think about it is: the percent tells you how many hundredths you have. Thus, 11% means you have 11 hundredths, or 0.11. Practicing this conversion makes it easier to handle many types of calculations.

Division

Understanding division is crucial for converting percents to decimals. In this context, division means splitting a number into equal parts. When you convert a percent to a decimal, you divide the percent by 100. Essentially, you're finding out how many times 100 fits into the given percent. For example, with 11%, you calculate $\frac{11}{100} $, which equals 0.11. In decimal conversion, division simplifies numbers, making them easier to work with in different mathematical operations. Practice dividing small numbers by 100 to get comfortable with this concept.

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91影视

Convert each percent to a decimal. $$ 11 \% $$

Short Answer

Step by step solution

Understand Percent

Convert Percent to Decimal

Apply the Conversion

Key Concepts

Percent

Decimal Conversion

Division

One App. One Place for Learning.

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