1/3% as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we must understand percentages and decimals. A percentage represents a part out of 100. To convert a percentage to a decimal, divide by 100. 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 1/3% as a decimal?

$1/3% as a decimal$

Answer

1/3% as a decimal can be written as 0.0033333….. It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To convert 1/3% to a decimal, follow these steps:

Step 1: Convert the percentage to a fraction, which is 1/3%.

Step 2: Change the percentage to a decimal by dividing by 100. This gives us (1/3) / 100.

Step 3: Simplify the fraction (1/3) / 100 to 1/300.

Step 4: Divide 1 by 300.

Step 5: Performing the division gives us 0.0033333...., which is a recurring decimal.

The answer for 1/3% as a decimal is 0.0033333….

Important Glossaries for 1/3% as a decimal

Percentage: A value out of 100, often used to describe proportions.
Fraction: A numerical quantity representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Division: The process of determining how many times one number is contained within another.