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Chapter 6: Problem 32

In the following exercises, convert each percent to a decimal. $$50 \%$$

Short Answer

Expert verified
0.50

Step by step solution

01

- Understand what a percentage is

A percentage is a way of expressing a number as a fraction of 100. It means 'per hundred.' The symbol % represents percentage.
02

- Identify the given percentage

The percentage given in the problem is 50%.
03

- Convert the percentage to a fraction

To convert 50% to a fraction, write it as 50/100.
04

- Simplify the fraction if necessary

In this case, 50/100 can be simplified to 1/2. However, since we need the decimal form, move to the next step.
05

- Convert the fraction to a decimal

To convert the fraction 50/100 to a decimal, divide 50 by 100. This gives 0.50.

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Key Concepts

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

percentage conversion
Converting percentages to decimals is a fundamental skill in math. A percentage represents a part out of 100, denoted by the % symbol. For example, 50% means 50 out of 100. To convert a percentage to a decimal, simply divide by 100. This also means moving the decimal point two places to the left.

Let's use the example of 50%:

- Identify the percentage: 50%
- Divide by 100: 50 梅 100
- This equals 0.50

Remember:

  • Move the decimal two places left
  • Add zeros if necessary

    This turns 50% into 0.50. Understanding how to convert percentages helps in various real-life calculations.
fractions to decimals
Turning fractions into decimals is another crucial skill. A fraction is made up of a numerator (top number) and a denominator (bottom number). For example, 50/100 is a fraction representing 50 out of 100.

To convert a fraction to a decimal, you divide the numerator by the denominator:

- For 50/100:
- Divide 50 by 100
- This results in 0.50

If you have a simplified fraction, like 1/2, you would follow the same procedure:
- Divide 1 by 2
- This equals 0.5

Always ensure to perform the division accurately to get the correct decimal value.
simplifying fractions
Simplifying fractions means reducing them to their simplest form. This involves dividing both the numerator and denominator by their greatest common divisor (GCD). For example, the GCD of 50 and 100 is 50. Thus, 50/100 simplifies to 1/2.

Steps to simplify:
- Identify the GCD
- Divide both numerator and denominator by the GCD
- Rewrite the fraction

Simplified fractions are easier to work with, especially when you need to convert them to decimals. Simplifying 50/100 to 1/2 before converting it to 0.5 helps to verify the accuracy of your conversion work.

Simplifying fractions makes calculations easier and more efficient. Always check if the fraction can be reduced before converting.

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