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Chapter 6: Problem 56

In the following exercises, convert each decimal to a percent. $$4$$

Short Answer

Expert verified
400%

Step by step solution

01

Understand the problem

The task is to convert the given decimal number into a percent. The given decimal number is 4.
02

Know the conversion formula

To convert a decimal to a percent, multiply the decimal number by 100.
03

Perform the multiplication

Multiply 4 by 100: \[4 \times 100 = 400\]
04

Append the percent symbol

Finally, add the percent symbol (%) to the result of the multiplication. Thus, 4 as a percent is 400%.

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Key Concepts

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

percent conversion
Percent conversion is a fundamental concept in mathematics. It involves changing a number into a percentage. A percentage represents a fraction of 100, making it easier to understand proportions and comparisons.
In this exercise, we converted the decimal number 4 into a percent. Here鈥檚 a simple breakdown:
  • First, remember that 'percent' means 'per hundred'.
  • To convert any decimal to a percent, multiply the decimal by 100.
  • Finally, append the percent symbol (%) to the result.
Using 4 as an example:
  • Multiply 4 by 100: \(4 \times 100 = 400\)
  • Add the percent symbol to get 400%.
This method works for any decimal number, whether it's less than 1 or greater than 1.
multiplication
Multiplication plays a crucial role in converting decimals to percentages.
It is essentially repeated addition. When converting a decimal to a percentage, the decimal needs to be multiplied by 100. This is because 'percent' means 'out of 100'.
For example, consider the decimal 4:
  • Identify the operation needed. In this case, we need to multiply 4 by 100.
  • Perform the multiplication: \(4 \times 100 = 400\)
  • This result shows that the decimal 4 is equivalent to 400%.
By understanding multiplication, you can efficiently convert any decimal to a percentage.
understanding decimals
Understanding decimals is key to converting them into percentages. Decimals are a way of representing fractions using place value. Each digit in a decimal number has a specific place value.
For example, the number 4 can be viewed as 4.0 in decimal form. Here, the digit 4 is in the units place (also called the ones place), meaning it has a value of 4.
When converting to percent, you're essentially scaling the number. Here鈥檚 a step-by-step explanation:
  • Write down the decimal number. In this case, it鈥檚 4.
  • Multiply by 100 to move the decimal point two places to the right.
  • This changes 4 to 400.
  • Attach the percent symbol (%) to show that it represents a part out of 100.
With this understanding, converting any decimal number to a percentage becomes straightforward.

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