1/625 as a Decimal

Answer

1/625 in decimal form is 0.0016. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 1/625 into a decimal, we will use the division method. Since 1 is smaller than 625, we need to use decimals to perform the division. Here is the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend, and the denominator (625) will be taken as the divisor.

Step 2: As 1 is smaller than 625, it can't be divided directly. We will use decimals by adding zeros to the dividend, making it 1000, and placing a decimal point in the quotient.

Step 3: Now that we have 1000, we can divide it by 625.

Step 4: Determine how many times 625 fits into 1000. 625 goes into 1000 once (625 × 1 = 625). Write 1 in the quotient and subtract 625 from 1000, giving 375.

Step 5: Bring down another 0 to make it 3750. Divide again. 625 goes into 3750 six times (625 × 6 = 3750), so write 6 in the quotient.

Step 6: Subtract 3750 from 3750, resulting in 0.

The answer for 1/625 as a decimal is 0.0016.

• 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.