Question

How do you write $$0.003$$ as a percent?

Answer 1

Hint: We are asked to write a given number in percentage form. First, recall the definition of percentage and how it is written mathematically. Then try to write the given number in percent form and convert it into a percent.

Complete step-by-step answer:
Given, a number $$N=0.003$$
A percent can be defined as one part of hundred, in mathematical form we can write
  $$x\mathrm{\%}={\displaystyle \frac{x}{100}}$$ (i)
where $$x$$ is a number.
To write $$N=0.003$$ we have to make the denominator $$100$$ . Since here the denominator is $$1$$ , so we need to multiply the numerator and denominator by $$100$$ , to make the denominator $$100$$ .
Multiplying the numerator and denominator by $$100$$ we get,
  $$N={\displaystyle \frac{0.003\times 100}{1\times 100}}$$
  $$\Rightarrow N={\displaystyle \frac{0.3}{100}}$$
Comparing the above equation with equation (i) we get,
  $$N={\displaystyle \frac{0.3}{100}}=0.3\mathrm{\%}$$
Therefore, we can write $$0.003$$ as $$0.3\mathrm{\%}$$ .
So, the correct answer is “ $$0.3\mathrm{\%}$$ ”.

Note: Here, we were given a number in decimal form and asked to convert into percent. But if we are given a percent and asked to convert it to decimal then convert the percent into a fraction and divide the numerator by denominator to convert it into decimal form. We can write a number into different forms, the three important forms that one should remember are fraction, percentage and decimal. Percentage is used in profit, loss, discounts, rate of interests. Fractions help us to determine how much part of a number is required, these are useful in grocery, business for production of products. Decimals are useful in cases where more accuracy is required such as money, weight, length.