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Chapter 2: Problem 35

Convert to percent notation. $$ 1.08 $$

Short Answer

Expert verified
1.08 as a percentage is 108%.

Step by step solution

01

- Understand the given value

The given value is a decimal number: 1.08
02

- Convert the decimal to a fraction

To convert a decimal to a fraction, we recognize that 1.08 can be written as \( \frac{108}{100} \) since the decimal point moves two places to the right.
03

- Convert the fraction to a percentage

To convert a fraction to a percentage, multiply by 100. Thus, \( \frac{108}{100} * 100 = 108% \).

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Key Concepts

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

decimal to fraction conversion
When you have a decimal number and need to convert it to a fraction, start by understanding the place value of the decimal.
For instance, in the decimal 1.08, the digits after the decimal point represent parts of a whole.
Here's how you can do it:

  • Write down the decimal without the decimal point as the numerator. In our case, 1.08 becomes 108.
  • Since there are two digits after the decimal, the denominator will be 100. This is because 1.08 is 108 hundredths.
  • Put the numerator over the denominator: \(\frac{108}{100}\).

It's always a good idea to simplify the fraction if possible. But in this exercise, \(\frac{108}{100}\) is already simple and correct.
fraction to percentage conversion
Converting a fraction to a percentage might seem tricky, but it's quite straightforward. To convert a fraction to a percentage, multiply the fraction by 100.
For example, we have the fraction \(\frac{108}{100}\).
  • Take the fraction \(\frac{108}{100}\) and multiply it by 100.
  • In equation form: \(\frac{108}{100} \times 100\).
  • The hundreds cancel out, leaving us with 108.

Thus, \(\frac{108}{100} \times 100 = 108\text{%}\). So, 1.08 in percentage notation is 108%. This conversion makes it easier to compare values since percentages are a universally understood format.
understanding decimal values
Decimals are a way of representing fractions without using a fraction bar. They are particularly useful for expressing quantities smaller than one in a clear and precise manner.
The fundamental part of understanding decimals lies in their place values. Let's break it down:
  • In the number 1.08, the digit 1 is in the units place, meaning it represents one whole.
  • The digit 0 is in the tenths place, and it indicates zero tenths.
  • The digit 8 is in the hundredths place, representing eight parts of a hundred.

Together, these values form the number 1.08, which is more than one but less than two. Recognizing each digit's place value helps in accurately converting and understanding numbers in both fraction and percentage forms.
This foundational knowledge is critical for mastering other math skills and applying them effectively.

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Most popular questions from this chapter

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