101/500 as a Decimal

Answer

101/500 in decimals can be written as 0.202. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 101/500 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (101) will be taken as the dividend, and the denominator (500) will be taken as the divisor.

Step 2: Since 101 is smaller than 500, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend by considering it as 101.0 and add a decimal point in the quotient place.

Step 3: Now we consider 1010, which we can divide by 500.

Step 4: 500 goes into 1010 twice (500 × 2 = 1000). We will write 2 in the quotient place and subtract 1000 from 1010, giving us 10.

Step 5: Bring down another 0 to make it 100. Repeat the division process. Since 500 cannot go into 100, we add a 0 in the quotient.

Step 6: Bring down another 0 to make it 1000. 500 goes into 1000 twice (500 × 2 = 1000), and we subtract 1000 from 1000 to get a remainder of 0. The division process ends here as the remainder is 0, making it a terminating decimal.

The answer for 101/500 as a decimal will be 0.202.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.