Question

What is 300 divided by 0.5?

Answer 1

Hint: We need to find the value of 300 divided by 0.5. Firstly, we express the whole number 300 and a decimal 0.5 as a fraction. Then, we divide both the fractions using the concept of fractions to get the desired result.

Complete step by step answer:
We are asked to find the value of 300 divided by 0.5. We will be solving the given question by expressing the whole number 300 and the decimal 0.5 as a fraction.
The whole numbers are the numbers that include all the positive integers and zero. It does not include negative integers and fractions. They are also called the basic counting numbers.
Fractions, in mathematics, are used to represent the portion or the part of the entire or whole thing. They are generally represented as follows,
$\Rightarrow {\displaystyle \frac{a}{b}}$
Here,
$a$ is the numerator of the fraction
$b$ is the denominator of the fraction
For Example:
$\Rightarrow {\displaystyle \frac{1}{2}},{\displaystyle \frac{2}{5}}$
Decimals, in mathematics, are numbers whose whole number part and fractional part are separated by a decimal point.
According to our question,
We need to convert the number 300 as the fraction.
The whole number can be converted into a fraction with a denominator of one.
From the above, the whole number 300 can be written in fractional form as follows,
$\Rightarrow {\displaystyle \frac{300}{1}}$
We need to convert the decimal 0.5 as a fraction. The decimal 0.5 can be expressed as a fraction as follows,
$\Rightarrow {\displaystyle \frac{5}{10}}$
Now, we need to divide the above fractions.
$\Rightarrow {\displaystyle \frac{\left({\displaystyle \frac{300}{1}}\right)}{\left({\displaystyle \frac{5}{10}}\right)}}$
We know that ${\displaystyle \frac{\left({\displaystyle \frac{a}{b}}\right)}{\left({\displaystyle \frac{c}{d}}\right)}}$ can also be written as ${\displaystyle \frac{a\times d}{b\times c}}$
Writing the same, we get,
$\Rightarrow {\displaystyle \frac{300\times 10}{1\times 5}}$
Canceling the common factors, we get,
$\Rightarrow 300\times 2$
Simplifying the above expression, we get,
$\Rightarrow 600$
$\therefore$ The value of 300 divided by 0.5 is 600.

Note: The result of the given question can be cross-checked by multiplying the result with the decimal 0.5. If the product is 300 then the result attained is correct.
Multiplying the result with the decimal 0.5, we get,
$\Rightarrow 600\times 0.5$
Expressing the decimal 0.5 as a fraction, we get,
$\Rightarrow 600\times {\displaystyle \frac{5}{10}}$
Canceling the common factors, we get,
$\Rightarrow {\displaystyle \frac{600}{2}}$
Simplifying the above expression, we get,
$\Rightarrow 300$
Hence, the result attained is correct.