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Chapter 0: Problem 119

What is \(6 \%\) of \(80 ?\)

Short Answer

Expert verified
4.8

Step by step solution

01

Understand the Percentage

A percentage represents a fraction of 100. Therefore, 6% means 6 out of every 100.
02

Convert Percentage to Decimal

Convert 6% to a decimal by dividing by 100. Thus, \( 6\text{\textpercent} = \frac{6}{100} = 0.06 \)
03

Multiply by the Total

Now, to find 6% of 80, multiply 0.06 by 80. \( 0.06 \times 80 = 4.8 \)
04

Write the Final Answer

Therefore, 6% of 80 is 4.8.

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Key Concepts

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

Percent to Decimal Conversion
When dealing with percentages, it's crucial to understand how to convert them into decimals. This conversion allows for easier calculations in various types of problems, particularly when multiplication or division is involved.

To convert a percentage to a decimal, you must divide the percentage by 100. This is because a percentage is essentially a part of a whole, represented as a fraction of 100. The process is straightforward:
  • Take the percentage value (e.g., 6%)
  • Divide by 100 (e.g., \(\frac{6}{100}=0.06 \))

Now, you've converted 6% into its decimal form, which is 0.06. This representation will make subsequent calculations much easier.
Multiplication
Understanding how to multiply decimals is key to solving problems that involve finding a percentage of a number. In our exercise, we need to find what 6% of 80 is, and we'll do that by multiplying.

Here are the steps to follow:
  • Convert the percentage to a decimal (i.e., from 6% to 0.06)
  • Multiply this decimal by the given number (in this case, 80)

Our multiplication looks like this: \(\text{0.06} \times \text{80} = 4.8 \).
It's important to remember the rules of multiplying decimals. Align the numbers without considering the decimal points first, and then place the decimal in the answer by counting the total number of decimal places in the factors.
Basic Algebra
Basic algebra is the foundation for solving many problems, including those involving percentages. When asked to find a certain percentage of a given number, understanding algebraic principles can simplify the process.

Here, we use an equation to find the solution:
\(\text{Percentage} \times \text{Total} = \text{Part} \)
Plugging in our values: \( 0.06 \times 80 = 4.8 \)
In this formula:
  • The percentage is represented as a decimal (0.06 for 6%)
  • The total is the number we are finding the percentage of (80 in this case)
  • The part is the result we seek (which is 4.8)

Algebra helps us set up and solve the problem efficiently, ensuring we find the correct answer.

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Most popular questions from this chapter

\(0.07 \times 0.004\)

Identify each number as prime, composite, or neither. If the number is composite, write it as a product of prime factors. $$ 30 $$

For the decimal number 46.249 , round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

Identify each number as prime, composite, or neither. If the number is composite, write it as a product of prime factors. $$ 57 $$

\(32.48 \div 11.6\)
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