Problem 38 Find percent notation. $$ 0.... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 6: Problem 38

Find percent notation. $$ 0.01 $$

Short Answer

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Step by step solution

- Understand Percent Notation

Percent notation expresses a number as a fraction of 100. Specifically, this means multiplying the number by 100 to convert it into a percentage.

- Multiply by 100

Take the number 0.01 and multiply it by 100. This gives: \[ 0.01 \times 100 = 1 \]

- Add the Percent Symbol

After multiplying by 100, add the percent symbol '%' to signify the value in percent. Hence, \[ 0.01 \rightarrow 1\text{%} \]

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Key Concepts

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

converting decimals to percent

Converting decimals to percent is a common task in mathematics.
It's essential for understanding data in different forms. When you see a decimal, you can imagine it as a fraction of 1.
To convert it to percent, you simply need to rewrite this fraction so it is expressed as a part of 100.
For example, if you have the decimal 0.01, this can be viewed as $ \frac{1}{100} $.
Converting any decimal to a percent involves two straightforward steps: multiply the decimal by 100 and then add the percent symbol.
This changes the perspective from a small fraction of 1 to a more relatable form鈥攑ercentages.

multiplication by 100

Multiplying by 100 is the key operation for converting decimals to percent.
This is due to the definition of percentage, which is literally 'per hundred'. Multiplying by 100 gives us the value in terms of how many parts per hundred the decimal represents.
Let's look at our example of 0.01.
When we multiply 0.01 by 100, we perform the operation: $ 0.01 \times 100 = 1 $.
This tells us that 0.01 is equivalent to 1 part out of 100, making it 1%.
In general, remember this rule: just shift the decimal point two places to the right when you multiply by 100!

percent symbol

The percent symbol '%' plays a crucial role in indicating that a number is a percentage.
After converting a decimal to its percent form through multiplication by 100, we need to add the '%' to complete the conversion.
This tells anyone reading the number that it is a percentage and not just a plain whole number or decimal.
For the example 0.01 converted to 1, adding the percent symbol changes the interpretation from 1 (a plain number) to 1% (one percent).
In a nutshell, the '%' symbol helps in clearly communicating that the value is a portion out of 100.

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91影视

Find percent notation. $$ 0.01 $$

Short Answer

Step by step solution

- Understand Percent Notation

- Multiply by 100

- Add the Percent Symbol

Key Concepts

converting decimals to percent

multiplication by 100

percent symbol

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