1/600 as a Decimal

Answer

1/600 in decimals can be written as 0.00166666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1/600 in decimal, we will use the division method. Here as 1 is smaller than 600, we will take help of the decimal method which will give us 0.00166. 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 (600) will be taken as the divisor.

Step 2: As 1 is smaller than 600, 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 divide it by 600. Let's see how many times 600 makes 10.

Step 4: 10 is not a multiple of 600, so we will bring down another 0, making it 100. This process continues with bringing down 0s and checking divisibility.

Step 5: Eventually, we will find that 600 goes into 1000 one time (1 × 600 = 600), leaving a remainder of 400.

Step 6: Bring down another 0, making it 4000, and continue dividing. This will yield 6 in the quotient place, and the division process continues, repeating the digits in the quotient. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/600 as a decimal will be 0.001666……

• 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 digit or group of digits repeats infinitely.