1/99 as a Decimal

Answer

1/99 in decimals can be written as 0.010101…. It is a recurring decimal, showing it will repeat the same pattern infinitely.

Explanation

To get 1/99 in decimal, we will use the division method. Here, as 1 is smaller than 99, we will take the help of the decimal method, which will give us 0.010101. 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 (99) will be taken as the divisor.

Step 2: As 1 is smaller than 99, it can't be divided, so 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 99. Let's see how many times 99 makes 10.

Step 4: 10 is not a multiple of 99, so we will add another 0 to make it 100 and divide.

Step 5: 100 divided by 99 is 1, remainder 1. Bring down another 0, making 100; divide again by 99. This process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/99 as a decimal will be 0.010101….

• 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.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Dividend: The number that is being divided in a division operation.

• Divisor: The number by which the dividend is divided.