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Chapter 7: Problem 51

Convert the decimal to a percent. $$0.006$$

Short Answer

Expert verified
0.006 is 0.6%.

Step by step solution

01

- Understand the Concept

To convert a decimal to a percent, multiply the decimal by 100. This is because 'percent' means 'per hundred'.
02

- Set Up the Calculation

Write the decimal in an equation where you multiply by 100: \[ 0.006 \times 100 \]
03

- Perform the Multiplication

Multiply 0.006 by 100: \[ 0.006 \times 100 = 0.6 \]
04

- Write the Answer with the Percent Symbol

The result from the multiplication is the percentage value. Add a percent sign to indicate this: \[ 0.6\% \]

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Key Concepts

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

Decimal Conversion
When dealing with numbers, it鈥檚 often necessary to convert between different forms. Converting decimals to percentages is one such process. Here's why this is important:

Decimals represent parts of a whole, similar to how fractions do. They are written using a period (.) to separate the whole number part from the fractional part. For example, in the decimal 0.006, there are six thousandths.

To start the conversion process, remember that 'percent' means 'per hundred'. So, to convert a decimal to a percent, you need to express it as a part of 100. This involves using multiplication, which we'll explore further below.
Percentages
Percentages are another way to express parts of a whole. They're widely used in daily life鈥攆rom calculating discounts during shopping to understanding statistics. A percentage is simply a number or ratio expressed as a fraction of 100. For example, 50% is the same as saying 50 out of 100.

When converting a decimal to a percentage, your goal is to find out how much of 100 it represents. In our example with the decimal 0.006, we want to know what portion of 100 this number equals to. This is why we multiply by 100. The process is straightforward and involves basic multiplication, which we'll discuss next.
Multiplication
Multiplication is one of the fundamental arithmetic operations, key to converting decimals to percentages.

Here鈥檚 the step-by-step process using the example of 0.006:
  • First, take your decimal, which is 0.006.
  • Set up your equation for multiplication as follows: \[ 0.006 \times 100 \]
  • Then, do the calculation. Multiply 0.006 by 100: \[ 0.006 \times 100 = 0.6 \]
  • Finally, add the percent symbol to your result, making it 0.6%.
By multiplying by 100, you are essentially shifting the decimal point two places to the right. This straightforward step brings you directly to your percentage value.

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Most popular questions from this chapter

The amount of 8000 dollar is invested at \(4 \%\) for 3 years. a. Compute the ending balance if the bank calculates simple interese? b. Compute the ending balance if the bank calculates interest compounded annually. c. How much more interest is earned in the account with compound interest? (TABLE CAN NOT COPY)

What fraction represents \(50 \%\)

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If 1000 dollar is deposited in an account paying \(8 \%\) interest compounded monthly for 3 years, label the following variables: \(P, r, n,\) and \(t\)

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