Question

Fill in the blanks: $\_\_\_ \div ( - 6) = - 12$

Answer 1

Hint: In this question we have to find the number in the missing place. So first of all we will assume the number to be $x$ .
So we will put this number in the expression, after that we will simplify the value by applying the formula.
We will use the basic division formula i.e.
$a \div b = \dfrac{a}{b}$
Or it can be written as
$a \div b = a \times \dfrac{1}{b}$

Complete step by step answer:
Here we have $\_\_\_ \div ( - 6) = - 12$ .
Let us assume the missing number to be
$x$ .
So by putting the value, we can write
 $x \div ( - 6) = - 12$
Now we will apply the formula
$a \div b = a \times \dfrac{1}{b}$
According to the formula, we can write
$x \times \dfrac{1}{{ - 6}} = - 12$
On cross multiplying, it gives:
$x = - 6 \times - 12$
It gives,
$x = 72$ .
So our missing number is
$72 \div ( - 6) = - 12$
Hence the required answer is $72$.

Note:
We should note that when we multiply two negative values, it gives us a positive result.
So in the above solution when we multiply two negative values, it gives a positive result i.e.$ - 6 \times ( - 12)$.
We should note that multiplication and division are closely interrelated. Division is the inverse operation of multiplication.