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Chapter 1: Problem 80

Convert the following decimals and fractions to percents. $$ 0.000005 $$

Short Answer

Expert verified
0.000005 converts to 0.0005%.

Step by step solution

01

Understand the Relationship

To convert a decimal to a percent, you need to understand that percent means 'per hundred'. This implies that any decimal can be converted to percent by multiplying it by 100.
02

Multiply by 100

Multiply the decimal 0.000005 by 100 to convert it to a percentage.\[ 0.000005 \times 100 = 0.0005 \]
03

Add the Percent Symbol

After calculating the multiplication, append the % symbol to indicate that the number is a percentage. Therefore, the result is 0.0005%.

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Key Concepts

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

Math Conversion
Converting numbers from one form to another is a cornerstone of mathematics. When we convert decimals to percentages, we change how we view a number without altering its value. The key is understanding the relationship between the decimal and the percent. Knowing that 'percent' means "per hundred," allows us to see decimals as parts of one hundred. For example, when we have the decimal 0.000005, we are essentially looking at it as a fraction of one. We can express this fractional part in terms of hundreds to get a clearer picture through percentages.
Percent Calculation
To calculate a percent from a decimal, it's all about stretching the meaning of the decimal to a part of a hundred. We do this by multiplying the decimal by 100.
  • Remember: Multiplying by 100 shifts the decimal point two places to the right.
  • This shift adjusts the scale, turning the decimal into a more familiar percentage form.
For example, when we take the number 0.000005, multiplying by 100 gives us 0.0005. By appending the percent symbol (%), we signify that this is a comparative amount out of a hundred, thus arriving at 0.0005%.
Decimal Multiplication
Multiplying decimals is an essential technique in various math calculations. When converting decimals to percentages, this operation is straightforward yet crucial. Start by recognizing how multiplication impacts the positioning of decimal points.
  • Moving the decimal two places to the right is the same as multiplying by 100.
  • Every shift results in a change in scale, making numbers easier to interpret in a different form.
With the example 0.000005, multiplying by 100 involves moving the decimal to get 0.0005. This small yet significant shift enables us to see the number within the context of percentage calculations.
Educational Math Techniques
Grasping the concept of decimal to percent conversion relies heavily on effective learning techniques. Here are some strategies to aid understanding:
  • Visualize the process using a number line to see the transition from decimal to percent.
  • Practice with various examples to reinforce the concept, which enhances retention and comprehension.
  • Describe each step out loud as you perform it, reinforcing the logic behind each move.
By employing these methods, students can strengthen their arithmetic skills and build confidence in handling conversions, ensuring they grasp the foundational elements of mathematical calculations.

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Most popular questions from this chapter

If an item costs \(\$ 129.99\), then what is the total after adding \(714 \%\) sales tax?

Determine whether the following real numbers are integers, rational, or irrational. $$ 1.33 $$

Use the definition of percent to convert to fractions. $$ 0.7 \% $$

Perform the operations. $$ 9.246 \div 4.02 $$

Write as a mixed number. $$ 2.55 $$
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