Question

What is the value of multiplication $-\dfrac{5}{9}.-4$?

Answer 1

Hint:For solving this question you should know about the multiplication of a fraction and whole numbers. We will solve this question by multiplying a fractional number with a whole number but both are negative values, so it seems like a different question. But here there is nothing to do, simply multiply both the values and make the sign positive in the answer.

Complete step-by-step solution:
According to the question we have to find the value of $-\dfrac{5}{9}.-4$. If we see then we know how to multiply any two numbers if any one or both of them are negative values. We simply change the sign in the answer as if both are negative values then the sign will be positive but if the sign of any one value is negative, then the sign of the answer value will remain negative.
If we see in our question then $\left( -\dfrac{5}{9} \right).\left( -4 \right)$ both of these are of negative value so the answer will be positive. But we have a fractional form and one in a whole number form. So, we multiply this in the same manner as any other values are calculated. So, if we calculate them as $\left( -a \right).\left( -b \right)$, then it will be $\left( ab \right)$. Here we have
$a=\left( -\dfrac{5}{9} \right)$ and $b=-4$. So, we have,
$\begin{align}
& \left( -a \right).\left( -b \right)=\left( -\dfrac{5}{9} \right).\left( -4 \right) \\
& =\dfrac{20}{9} \\
\end{align}$
And if we want to check our answer then we can solve it completely as: $\dfrac{20}{9}=2.2222$.
And,
$\dfrac{5}{9}=0.5555;\left( -\dfrac{5}{9} \right).\left( -4 \right)=2.2222$
So, both the answers are the same.
So, the value of $\left( -\dfrac{5}{9} \right).\left( -4 \right)$ is equal to 2.2222.

Note:For calculating any multiplication like this we have to be careful regarding the signs of the values. It is always fixed then if we multiply the digits and if there are even numbers of negative signs then it will be a positive answer but if the number of signs are odd then the answer will be negative.