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105 LearnersLast updated on March 11th, 2025
65% as a decimal
This topic focuses on converting percentages to decimals, a fundamental concept in mathematics. A percentage represents a part per hundred. In this case, 65% means 65 out of 100. To convert a percentage to a decimal, we need to understand the relationship between percentages and decimals. A decimal is a fraction whose denominator is a power of ten, and it uses a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, while the numbers to the right represent the fractional part.
What is 65% as a decimal?
Answer
65% as a decimal is 0.65.
Explanation
To convert 65% to a decimal, follow these steps:
Step 1: Recognize that a percentage is a fraction out of 100. Therefore, 65% is equivalent to the fraction 65/100.
Step 2: Convert the fraction to a decimal. Since the denominator is 100, simply divide the numerator by 100.
Step 3: Divide 65 by 100, which equals 0.65.
Thus, 65% as a decimal is 0.65.
This decimal is terminating, meaning it does not repeat infinitely.
Important Glossaries for 65% as a decimal
- Percentage: A way of expressing a number as a fraction of 100, denoted using the percent sign (%).
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Terminating Decimal: A decimal that ends and does not repeat.
- Fraction: A numerical quantity that represents a part of a whole, expressed as a quotient of two numbers.
- Conversion: The process of changing from one form to another, such as from a percentage to a decimal.
