Understanding Percentage to Decimal Conversion

The question asks us to find the decimal representation of "half of 1 percent". Let's break this down step-by-step to understand the calculation clearly.

Calculating Half of 1 Percent

First, we need to understand what 1 percent means in mathematical terms. A percentage is a way to express a number as a fraction of 100.

• $1$ percent is mathematically equivalent to the fraction $\frac{1}{100}$.

Next, the question asks for "half of" this value. This means we need to calculate $\frac{1}{2}$ multiplied by the value of 1 percent.

• Half of $1$ percent = $\frac{1}{2} \times 1$ percent
• Substituting the fraction for percent: Half of $1$ percent = $\frac{1}{2} \times \frac{1}{100}$

Converting Fraction to Decimal

Now, we perform the multiplication of the fractions to find the combined value:

• $\frac{1}{2} \times \frac{1}{100} = \frac{1 \times 1}{2 \times 100} = \frac{1}{200}$

To express this resulting fraction, $\frac{1}{200}$, as a decimal, we need to perform the division of the numerator by the denominator:

• Decimal value = $1 \div 200$

Carrying out the division:

$1 \div 200 = 0.005$

Final Decimal Value

Therefore, when "half of 1 percent" is written as a decimal, the value is 0.005.