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Chapter 2: Problem 86

Convert each decimal to a percent. $$ 0.06 $$

Short Answer

Expert verified
6%

Step by step solution

01

Understand the relationship between decimals and percents

A percent represents a fraction out of 100. To convert a decimal to a percent, you multiply the decimal by 100.
02

Multiply the given decimal by 100

Multiply the given decimal, 0.06, by 100: \(0.06 \times 100 = 6\)
03

Add the percent symbol

After multiplying, attach the percent symbol (%) to the result: 6%.

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Key Concepts

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

Decimal Conversion
Before diving into percentage calculations, it's key to understand what a decimal is. A decimal is a way of representing fractions or parts of a whole number. For example, 0.06 represents 6 parts out of 100 or \(\frac{6}{100}\). \(

Converting a decimal to a fraction involves understanding place values. In 0.06, '6' is in the hundredths place. To turn this into a fraction, you place the 6 over 100: \(\frac{6}{100}\). Converting between these formats is fundamental for solving many mathematical problems efficiently.\)

Understanding how decimals work will make percentage conversion easier.
Percent Calculation
A percentage is simply a way of expressing a number as a part of 100. The word 'percent' literally means 'per hundred', so it's a fraction with a denominator of 100. When you change a decimal to a percent, you are essentially finding out how many parts out of 100 that decimal represents.

For example, when given a decimal like 0.06, you want to find what fraction it represents out of 100. This is done by multiplying the decimal by 100:

\(0.06 \times 100 \).

After performing this multiplication, you would get 6. This means 0.06 equals 6 out of 100, or 6%. Hence, converting to a percent helps visualize how large or small the decimal is in terms of 100 parts.
Multiplication by 100
One of the key steps in converting a decimal to a percent is multiplying by 100. Multiplication by 100 shifts the decimal point two places to the right. Think of it as making the number 100 times larger.

Here is how it works practically:
  • Take your decimal, such as 0.06.
  • Multiply it by 100: \(0.06 \times 100 = 6\).


After multiplying, don't forget to add the percent symbol (%) at the end to complete the conversion: 6%.

This multiplication transforms the decimal into a more comprehensible percentage, making it easier to understand proportionally.

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