Question

What should be divided by $( - 7)$ to obtain $12$ ?

Answer 1

Hint: First, we have to know about the concept of multiplication and division.
Since multiplicand refers to the number multiplied. Also multiplier refers to the number multiplied by the first number. Have a look at an example; while multiplying $5 \times 7$ the number $5$ is called the multiplicand and the number $7$ is called the multiplier.
The process of the inverse of the multiplication method is called the division. Like $x \times y = z$ is multiplication thus the division sees as $x = \dfrac{z}{y}$. We usually need to memorize the multiplication tables in childhood so it will help to do mathematics.

Complete step-by-step solution:
Since from the given, we need to find the number which should be divided by the number $( - 7)$ to obtain $12$.
Hence fix the unknown number as $x$ then it should be divided by the number $( - 7)$ can be represented using mathematically as $\dfrac{x}{{( - 7)}}$ and while this process needs to obtain the exact number $12$ and that means in mathematically $\dfrac{x}{{( - 7)}} = 12$ because the unknown number divided by the number $( - 7)$ to obtain $12$.
Further solving using the cross multiplication we get $\dfrac{x}{{( - 7)}} = 12 \Rightarrow x = - 7 \times 12$
Now by the multiplication operation we get $x = - 84$ and hence which is the number that should be divided by the number $( - 7)$ to obtain $12$.
Therefore, the unknown number is $ - 84$.

Note: We are also able to check whether the answer is correct or wrong.
Since $x = - 84$ and substitute the value in the equation $\dfrac{x}{{( - 7)}}$ then we get $\dfrac{x}{{( - 7)}} = \dfrac{{ - 84}}{{( - 7)}}$
Thus, by the division operation (seven) we get $\dfrac{x}{{( - 7)}} = 12$ where $7\left| \!{\overline {\,
 {84} \,}} \right. = 12$ and thus the value of the $x = - 84$ is correct.
Also, the other two operations, Addition is the summing of two or more than two numbers, or values, or variables and in addition if we sum the two or more numbers a new frame of number will be found, also in subtraction which is the minus of two or more than two numbers or values example $2 - 3 = - 1$ (larger number signs stays constant).