1/35 as a Decimal

Answer

1/35 in decimals can be written as 0.02857142857... It is a recurring decimal, meaning it will repeat a sequence of digits infinitely.

Explanation

To convert 1/35 to decimal, we will use the division method. Here, as 1 is smaller than 35, we will utilize the decimal method to find 0.02857142857. 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 (35) will be taken as the divisor.

Step 2: As 1 is smaller than 35, it cannot be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it by 35. We will add another 0, making it 100.

Step 4: Determine how many times 35 goes into 100. 35 × 2 = 70, which is the nearest multiple less than 100. Write 2 in the quotient place and subtract 70 from 100, leaving 30.

Step 5: Bring down another 0, making 30 as 300, and repeat the division process. 35 goes into 300 eight times (35 × 8 = 280). Write 8 in the quotient, subtract 280 from 300, leaving 20.

Step 6: Continue this process. The division does not resolve to a remainder of 0, so it becomes a recurring decimal.

The answer for 1/35 as a decimal is 0.02857142857...

• 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.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.