1/16 inch as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), here 1, which represents how many parts out of the whole are considered. The denominator (the number below) shows how many parts make the whole; here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or 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 1/16 inch as a decimal?

$1/16 inch as a decimal$

Answer

1/16 in decimal form can be written as 0.0625. It is a terminating decimal.

Explanation

To convert 1/16 into a decimal, we will use the division method. Here, as 1 is smaller than 16, we will use decimal placement to perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: As 1 is smaller than 16, it can't be divided directly, so we will add a decimal point and a zero to the dividend, making it 10, and place a decimal point in the quotient.

Step 3: Now that it is 10, we can divide it by 16. However, 10 is still smaller, so we will add another zero, making it 100.

Step 4: Determine how many times 16 fits into 100. 16 × 6 = 96 is the closest, so we write 6 in the quotient and subtract 96 from 100, leaving 4.

Step 5: Bring down another 0, making it 40, and repeat the division process. 16 × 2 = 32, so we write 2 in the quotient and subtract 32 from 40, leaving 8.

Step 6: Again, bring down another 0, making it 80. 16 × 5 = 80, so we write 5 in the quotient and subtract 80 from 80, leaving 0. The division process concludes as the remainder is 0.

The answer for 1/16 as a decimal is 0.0625.