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Chapter 6: Problem 29

In the following exercises, convert each percent to a decimal. $$63 \%$$

Short Answer

Expert verified
0.63

Step by step solution

01

Understanding Percent

A percent represents a part per hundred. Therefore, 63% means 63 out of 100.
02

Removing the Percent Sign

To convert 63% to a decimal, start by removing the percent sign. This leaves you with 63.
03

Dividing by 100

Divide the number 63 by 100 to convert it into a decimal. This can be done by moving the decimal point two places to the left.
04

Final Conversion

After moving the decimal point two places to the left, 63 becomes 0.63.

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Key Concepts

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

Understanding Percent
Understanding percent is crucial for many math problems. A percent is simply a way to express a number as a fraction of 100. The word 'percent' comes from Latin 'per centum,' which means 'by the hundred.' For instance, 63% signifies 63 out of 100. So, when you see a percentage, think of it as a part of a whole divided into 100 equal parts. This concept helps us compare different amounts easily.

To visualize this, imagine you have 100 slices of pizza and you eat 63 slices. You've eaten 63% of the pizza. Grasping this idea makes converting percentages to decimals much easier.
Removing Percent Sign
To convert a percentage to a decimal, the first thing you need to do is remove the percent sign (%). This is a simple yet important step. Removing the percent sign allows us to work with the number directly.

For example, if you have 63%, removing the percent sign leaves you with just the number 63. It鈥檚 like clearing the way for the next steps. Now that we have a plain number, we can proceed to the final conversion step.
Dividing by 100
The last step in converting a percent to a decimal is to divide the number by 100. This step scales down the number from a percentage to a decimal fraction.

Here's how you do it:
  • Take the number from the previous step (e.g., 63) and divide it by 100.
  • You can also think of it as moving the decimal point two places to the left.
  • This effectively transforms 63 into 0.63.
So, by dividing by 100 or moving the decimal point, you get the final decimal form of the percentage. For our example, 63% becomes 0.63. This method works for any percentage you need to convert to a decimal.

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Most popular questions from this chapter

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Without solving the problem 鈥淲hat is 20% of 300?鈥� think about what the solution might be. Should it be a number that is greater than 300 or less than 300? Explain your reasoning.

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