Question

By what number should we multiply $ - \dfrac{8}{{13}}$ so that the product may be $24$?

Answer 1

Hint: In this problem, the product is given. And then the one number is given and we have to find the other number which is used in the product. Let the unknown number be $x$. And simplify the numbers and find the unknown number which we want to find. It is the simplest method to solve this problem.

Complete step-by-step solution:
In this problem, we are going to find the unknown number which is used for the product.
And the product is given in the question. In the product, two or more numbers are a must.
In this problem, one number is given. We have to find another number.
Let us take the unknown number.
Now given in the problem,
Product is equal to twenty-four.
And one number is minus eight by three.
Now we can write this by using the mathematical terms, we get
Product $ = 24$
One number is $ = \dfrac{{ - 8}}{{13}}$
Unknown number is $ = x$
Now multiplication of the unknown number and given one number is equal to the given product twenty-four.
That means the number minus eight by three is multiplied by the unknown number $x$which gives the number twenty-four.
It is written by,
$\dfrac{{ - 8}}{{13}} \times x = 24$
Now we have to simplify this to find the unknown value.
Now take cross multiplication. Hence the number thirteen which is in the denominator becomes a numerator.
$ - 8 \times x = 24 \times 13$
Now the number minus eight comes to the denominator. Then we get,
$x = \dfrac{{24 \times 13}}{{ - 8}}$
Now simplify this we get,
$ = - 3 \times 13$
$x = - 39$
Hence the unknown number for the given product is thirty-nine.
Hence the solution for this problem is $x = - 39$.

Note: In the above problem, simple multiplication is applied. When students know what multiplication is then they can solve this problem simply. In mathematics, there are four basic arithmetic operations which are addition, subtraction, multiplication, and division. By the basic ideology, multiplication is nothing but it is repeated addition.