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.

• 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.