1/17 as a Decimal

Answer

1/17 in decimal can be written as approximately 0.0588235294117647. It is a non-terminating, non-repeating decimal.

Explanation

To convert 1/17 into a decimal, we use long division. Here, as 1 is smaller than 17, we utilize the decimal method which results in 0.0588235294117647. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 17, it cannot be divided directly. We will add 0 to the dividend, making it 10, and add a decimal point in the quotient place.

Step 3: Since 10 is smaller than 17, we add another 0, making it 100.

Step 4: Now divide 100 by 17. The closest multiple is 17 × 5 = 85. Write 5 in the quotient and subtract 85 from 100, leaving 15.

Step 5: Bring down another 0 and continue the division process. This will eventually result in a repeating sequence of numbers. The division process continues without a remainder of 0, leading to a non-terminating decimal.

The answer for 1/17 as a decimal is approximately 0.0588235294117647.

• Fraction: A numerical quantity that is not a whole number, representing 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.
   
• Non-Terminating Decimal: A decimal that continues infinitely without repeating a set of digits.