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Last updated on March 17th, 2025

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52/100 as a Decimal

Professor Greenline Explaining Math Concepts
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This is a straightforward question on converting fractions to decimals. Understanding fractions and decimals is essential. A fraction consists of two parts: the numerator (the number on top) and the denominator (the number below). The numerator, here 52, represents how many parts we have, while the denominator, here 100, shows the total number of equal parts. A decimal is a way to express numbers that are not whole by using a decimal point (.) to separate the whole number part from the fractional part. The numbers to the left of the decimal point are the whole part, and those to the right are the fractional part.

Professor Greenline from BrightChamps

What is 52/100 as a decimal?

52/100 as a decimal

 

Answer

 

52/100 in decimal form is written as 0.52. It is a terminating decimal, meaning it does not repeat infinitely.

 

Explanation

 

To convert 52/100 to a decimal, we divide the numerator by the denominator.

 

Step 1: Identify the numerator and denominator; the numerator (52) will be the dividend, and the denominator (100) will be the divisor.

 

Step 2: Since 52 is smaller than 100, we will use the decimal method. We will add a decimal point and a zero to the dividend, making it 520.

 

Step 3: Divide 520 by 100.

 

Step 4: 100 goes into 520 five times (100 × 5 = 500), leaving a remainder of 20.

 

Step 5: Bring down another 0, making it 200. 100 goes into 200 two times (100 × 2 = 200), leaving no remainder. The division process ends here, as there is no remainder. This process results in a terminating decimal.

 

The answer for 52/100 as a decimal is 0.52.

Professor Greenline from BrightChamps

Important Glossaries for 52/100 as a decimal

  • Fraction: A numerical quantity representing a part of a whole.

 

  • Decimal: A number system using base ten, with a decimal point to separate the whole part from the fractional part.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.

 

  • Terminating Decimal: A decimal that ends and does not repeat infinitely.
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