1/625 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 1, which represents how many parts out of the whole are being considered, and the denominator (number below), here 625, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1/625 as a decimal?

$1/625 as a decimal$

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.