Question

How do you change 0.452 into a percent and how do you round it to the nearest tenth of a percent?

Answer 1

Hint: The given problem statement is pretty simple. We just need to convert decimal into percentage. Moreover, you need to multiply the decimal by 100. Then, let’s see how we can solve the given problem statement.

Complete step by step solution:
Firstly we will multiply 0.452 by 100.
$~\Rightarrow 0.452\times 100=45.2%$
$\therefore $The percent equivalent to the decimal 0.452 is 45.2%.
Next, now we need to round it off to the nearest tenth of a percent.
Now, we will take 0.452 as $0+\dfrac{4}{10}+\dfrac{5}{100}+\dfrac{2}{1000}$.
Consider the $\dfrac{4}{10}$,
If we multiply it by $1$ but in the form of $1=\dfrac{10}{10}$ we have
$\Rightarrow \left[ \dfrac{4}{10}\times 1 \right]\to \left[ \dfrac{4}{10}\times \dfrac{10}{10} \right]=\dfrac{40}{100}$
Putting it back together ,we can write 0.452 as $0+\dfrac{40}{100}+\dfrac{5}{100}+\dfrac{2}{1000}$ which is same as $\dfrac{45}{100}+\dfrac{2}{1000}$.
Now, let us consider $\dfrac{2}{1000}$
This can be written as $\dfrac{2}{100\times 10}$.
On further simplification, we get
$=\dfrac{{{\not{2}}^{0.2}}}{100\times {{\not{10}}^{1}}}$
Putting it back together, we can write 0.452 as $\dfrac{45}{100}+\dfrac{0.2}{100}=\dfrac{45.2}{100}$
Another way of writing $\dfrac{1}{100}$is 1%.
In that manner % is the unit of measurement of $\dfrac{1}{100}$.
So 0.452 is equivalent to $\dfrac{45.2}{100}=45.2\times \dfrac{1}{100}=45.2%$.

$\therefore $It is already correct to one-tenth of a percent (the first place holder after the decimal point.)

Note:
In this above problem statement you know that 0.2 can also be written as $\dfrac{2}{10}$ . But, this is a decimal part so it is to the nearest ten. You should note that % is the unit of measurement of 1 by 100.