Question

Find \[ - 80 \div 16\]

Answer 1

Hint: Here in this question we need to find the division value of\[ - 80 \div 16\]. Division is one among the four basic arithmetic operations. Division is the process of repetitive subtraction also it is the inverse operation of multiplication. In the given question, -80 is the dividend and 16 is the divisor.

Complete step by step solution:
The given question can be solved through the cancellation method. In the cancellation method we can cancel the numerator and denominator from the common factor. From the question given, -80 and 16 can have more than one factor like 2 or 4 or 8. It is our choice to choose the particular factor for cancellation
Firstly we know that division can also be written in the form of fractions, here we can write the given question as
\[\,\dfrac{{ - 80}}{{16}}\]
which can be solved in the same way as we simplify fractions.
We cancel the numerator and denominator with the same factor 4, the fraction reduces to
\[ \Rightarrow \dfrac{{ - 20}}{4}\]
Now again the fraction is having common factors as 2, 4, and 8.
Now again it is our choice to choose the particular factor to cancel the terms, here we can continue with 4 also.
On simplification we get
 \[ \Rightarrow \dfrac{{ - 5}}{1} = - 5\]
which is now in the simplest form and this cannot be reduced further.
So, the correct answer is “-5”.

Note: In the given question one of the numbers is with the negative sign and the other one is positive therefore according to the rules of division the answer will be negative. If both the numbers were positive or negative then the resulting answer will also be positive.