5/8 inch as a Decimal

Answer

5/8 in decimals can be written as 0.625. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 5/8 into a decimal, we will use the division method. Here, 5 is the numerator, and 8 is the denominator. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 5 by 8. As 5 is smaller than 8, the division will involve decimals.

Step 3: Add a decimal point and a zero to make it 50, allowing us to divide.

Step 4: 8 goes into 50 six times (8 × 6 = 48), so we write 6 in the quotient place and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0, making it 20. Divide 20 by 8, which goes 2 times (8 × 2 = 16). Subtract 16 from 20, leaving 4.

Step 6: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times (8 × 5 = 40), leaving a remainder of 0. The division process ends here, giving us a terminating decimal.

The answer for 5/8 as a decimal is 0.625.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses 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.