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Chapter 6: Problem 6

Write 9 as a percent. (a) \(9 \%\) (b) \(90 \%\) (c) \(900 \%\) (d) \(0.09 \%\)

Short Answer

Expert verified
The answer is (c) \(900\%\).

Step by step solution

01

Understanding the Concept

To convert a number into a percentage, we multiply it by 100. This helps to express the number as a part of 100.
02

Applying the Conversion Formula

To find what 9 is as a percentage, we perform the calculation: \(9 \times 100\). This calculation will transform the number 9 into its equivalent percentage form.
03

Calculating the Result

Perform the multiplication: \(9 \times 100 = 900\). This means that 9, when expressed as a percentage, is equal to 900%.
04

Choosing the Correct Option

Compare the calculated percentage with the given options. Since our calculation showed that 9 equals to 900%, the correct answer is option (c): \(900\%\).

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Key Concepts

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

Multiplication by 100
When converting a number to a percentage, the first thing we often do is multiply by 100. But why do we do this? Well, the concept of percentage is all about describing a number as a fraction of 100. By multiplying a number by 100, we essentially scale it up to fit into the "percent" framework. For instance, the number 9 becomes 900 when multiplied by 100, because we are expressing 9 as 900 parts out of 100.
  • This multiplication method is useful because it gives us a straightforward way to express values as percentages.
  • This technique allows us to communicate various quantities in a clear and standard manner.
Understanding this simple multiplication can help you convert other numbers into percentages quickly. It's essentially stretching the number to fit the 100% scale.
Percentage Representation
The next step is representing numbers as percentages, which are denoted with a % sign. A percentage is a figure that shows a portion of 100, which is why multiplying by 100 is key. In our example, when we convert 9 to a percentage, it becomes 900%. This might seem a bit strange at first, especially if you're used to seeing percentages that are under 100%.
  • Percentages can indeed be above 100%, which indicates a value greater than the whole.
  • For instance, if you had a bank account that grew by 200%, it means the original amount has doubled, plus the original again.
  • Therefore, 900% tells us 9 is essentially nine times what would be considered a "whole" or 100% in this instance.
By representing numbers as percentages, we can easily compare and understand their scale or magnitude in terms of parts of 100.
Understanding Percentages
Understanding percentages fully involves recognizing them as a tool for comparison and scalability. Percentages help measure increase, decrease, and proportions easily. They are not just numbers, but a way to make sense of data.
  • They allow us to compare different quantities directly, even if the original units are different.
  • For example, understanding that a score improvement of 50% signifies a significant increase, regardless of the initial scores.
  • Using percentages helps in evaluating performance, growth, and change.
By shifting our perception to think of numbers in terms of percentages, you can gain deeper insights into data and its implications. This understanding can be very empowering for making informed decisions in everyday situations.

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Most popular questions from this chapter

\(72 \%\) of 360 is what number? (a) 25.920 (b) 50 (c) 259.2 (d) 500

Write \(\frac{2}{3}\) as a percent. (a) \(1.5 \%\) (b) \(23 . \overline{3} \%\) (c) \(32 . \overline{2} \%\) (d) \(66 . \overline{6} \%\)

Write 0.511 as a percent. (a) \(0.511 \%\) (b) \(0.00511 \%\) (c) \(51.1 \%\) (d) \(511 \%\)

Write \(2 \frac{7}{8}\) as a percent. (a) \(2.875 \%\) (b) \(28.75 \%\) (c) \(287.5 \%\) (d) \(2875 \%\)

Find \(25 \%\) of 180 (a) 0.45 (b) 4.5 (c) 45 (d) \(4,500\)
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