123/500 as a Decimal

Answer

123/500 in decimals can be written as 0.246. It is a terminating decimal.

Explanation

To convert 123/500 to a 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 (123) will be taken as the dividend and the denominator (500) will be taken as the divisor.

Step 2: Divide 123 by 500 using long division.

Step 3: Since 123 is smaller than 500, we place a decimal point in the quotient and add a zero to make it 1230.

Step 4: Divide 1230 by 500, which goes 2 times (500 × 2 = 1000). Write 2 in the quotient and subtract 1000 from 1230 to get 230.

Step 5: Bring down another 0 to make it 2300. Divide 2300 by 500, which goes 4 times (500 × 4 = 2000). Write 4 in the quotient and subtract 2000 from 2300 to get 300.

Step 6: Bring down another 0 to make it 3000. Divide 3000 by 500, which goes 6 times (500 × 6 = 3000). Write 6 in the quotient and subtract 3000 from 3000 to get 0. The division process ends here with no remainder.

Therefore, 123/500 as a decimal is 0.246.

• 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.