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Chapter 2: Problem 19

Convert to decimal notation. $$ 62.58 \% $$

Short Answer

Expert verified
0.6258

Step by step solution

01

Understand the Conversion

Recognize that converting a percentage to decimal notation means moving the decimal point two places to the left. This is because percent means 'per hundred'.
02

Move the Decimal Point

Move the decimal point in 62.58 two places to the left. This converts 62.58% to 0.6258.

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Key Concepts

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

decimal notation
Decimal notation is a way of writing numbers that employs a period (referred to as a decimal point) to separate the whole number part from the fractional part. For instance, in the number 62.58, the digits to the left of the decimal point (62) represent the whole number part, while the digits to the right of it (58) represent the fractional part.
Decimals help in making precise calculations and make it easy to work with fractions. Knowing how to read and understand decimal notation is essential for converting percentages to decimals.
moving decimal point
When converting percentages to decimals, the most important step involves moving the decimal point two places to the left. This is because a percent is a fraction out of 100. To convert 62.58% to decimal notation, you need to follow these simple steps:
  • First, identify the current position of the decimal point. In 62.58, the decimal is placed after the 2 and before the 5.
  • Next, count two places to the left from the decimal point. This leads us from the original position to between the 6 and the 2.
  • Move the decimal point to this new position. Now, 62.58% becomes 0.6258.
By moving the decimal point two places to the left, we can accurately convert percentages into decimals without changing the value of the number.
percent to decimal
Converting percentages to decimals is a fundamental skill in mathematics. The term 'percent' signifies 'out of 100,' which explains why we move the decimal point two places to the left when performing the conversion. Here鈥檚 a quick step-by-step guide:
  • Start with your percentage. For example, 62.58%.
  • Remove the percent sign to simplify the expression.
  • Move the decimal two places to the left to account for the 'per hundred' definition.
  • Write the result as a decimal. So, 62.58% becomes 0.6258.
Practicing these conversions helps in smoothly transitioning between percentages and decimals, which is handy for various mathematical operations like multiplication, division, and comparison of values.

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