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Chapter 6: Problem 54

In the following exercises, convert each decimal to a percent. $$1.56$$

Short Answer

Expert verified
156%

Step by step solution

01

Understand the Decimal to Percent Conversion

To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%).
02

Multiply the Decimal by 100

Take the decimal 1.56 and multiply it by 100: \(1.56 \times 100 = 156\)
03

Add the Percent Symbol

After multiplying by 100, add the percent symbol to get the final result: \(156\%\)

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Key Concepts

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

Decimal Multiplication
Understanding decimal multiplication is essential for converting decimals to percentages.
Multiplying a decimal by 100 is the key step.
For instance, when we have the decimal 1.56, we multiply it by 100 to shift the decimal point two places to the right.
This operation turns 1.56 into 156.
If you need to multiply other decimals, the same rule applies.
Simply multiply the decimal by 100 to convert it to a larger number.

This idea of shifting the decimal helps in understanding many other mathematical concepts.
Remember, it's always about moving the decimal point for easy calculations!
Percent Symbol
The percent symbol (%) is used to represent a number as a fraction of 100.
It is an essential part of the conversion process in mathematics.
When we say 156%, it means 156 out of 100.
So after multiplying the decimal by 100, we add this symbol to show the conversion is complete.

  • The percent symbol helps in comparing different quantities easily.
  • It shows proportions and ratios clearly.
  • In many financial and statistical fields, percentages are crucial for understanding data.

Adding the percent symbol is the final step in the decimal to percent conversion process.
Conversion Process
The conversion process from a decimal to a percentage involves a few simple steps.
First, you need to multiply the decimal by 100.
This step adjusts the scale, making it easier to understand the decimal as a part of 100.
After performing the multiplication, you get a whole number or an integer.

Let's use our example: if we take the decimal 1.56 and multiply it by 100, we get 156.
  • Step 1: Multiply 1.56 by 100.
  • Step 2: The result is 156.
  • Step 3: Add the percent symbol to form 156%.

This process makes it clear and simple to understand how decimals transform into percentages.
Practicing this process with different numbers helps solidify the concept.
Keep practicing and soon it will become second nature!

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