1/169 as a Decimal

Answer

1/169 in decimals can be written as 0.005917159763313609... It is a non-terminating decimal, showing it will not end or repeat the same pattern.

Explanation

To get 1/169 in decimal, we will use the division method. Here, as 1 is smaller than 169, we will take the help of the decimal method, which will give us approximately 0.005917159763313609. 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 (169) will be taken as the divisor.

Step 2: As 1 is smaller than 169, it can't be divided; here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can bring down more zeros and continue the division process.

Step 4: Since 10 is still smaller than 169, we continue bringing down zeros until we get a number larger than 169.

Step 5: Once the number exceeds 169, we perform the division and continue this process. The division process continues, and we observe that the decimal does not terminate or repeat a simple pattern. This process results in a non-terminating decimal.

The answer for 1/169 as a decimal will be approximately 0.005917159763313609...

• 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 and does not end.