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Last updated on March 11th, 2025

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17/100 as a Decimal

Professor Greenline Explaining Math Concepts
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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 17, which represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 100. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

Professor Greenline from BrightChamps

What is 17/100 as a decimal?

17/100 as a decimal

 

Answer

 

17/100 in decimals can be written as 0.17. It is a terminating decimal, indicating that it does not repeat or continue infinitely.

 

Explanation

To get 17/100 in decimal, we will use division. Here, as 17 is smaller than 100, we will place a decimal point and add zeros to assist in the division. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (17) will be taken as the dividend and the denominator (100) as the divisor.

 

Step 2: As 17 is smaller than 100, it can't be divided without using decimals. We will add a decimal point in the quotient place and add zero to the right of 17, making it 170.

 

Step 3: Now that it is 170, we can divide it by 100. Let's see how many times 100 goes into 170.

 

Step 4: 100 goes into 170 once, so we write 1 in the quotient place after the decimal point. Subtract 100 from 170, which gives us 70.

 

Step 5: Bring down another 0, making it 700, and divide by 100 again. 100 goes into 700 seven times.

 

Step 6: The division process stops here as we reach a remainder of 0. This process yields a terminating decimal.

 

The answer for 17/100 as a decimal is 0.17.

Professor Greenline from BrightChamps

Important Glossaries for 17/100 as a decimal

  • Fraction: A numerical quantity that represents a part of a whole.

 

  • Decimal: A number that uses the base ten and includes 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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