Question

Solve $ ( - 144 \div 16) $
A. $ + 9 $
B. $ - 11 $
C. $ - 9 $
D. $ - 11 $

Answer 1

Hint: Here first of all we will rewrite the given expression in the form of fraction. Since the middle sign between the terms is division and then expand the given terms finding its factors and then simplification gives the resultant required answer.

Complete step-by-step answer:
Take the given expression –
 $ ( - 144 \div 16) $
The above expression can be re-written in the form of the numerator and denominator since we are given the division sign in between.
 $ = \dfrac{{ - 144}}{{16}} $
Common multiples from the numerator and denominator cancel each other. Therefore first of all find the factors.
 $ = \dfrac{{ - 12 \times 12}}{{4 \times 4}} $
Find the factors in the above expression –
 $ = \dfrac{{ - 4 \times 3 \times 4 \times 3}}{{4 \times 4}} $
Since, common multiples from the numerator and denominator cancel each other. Here remove from the numerator and the denominator.
 $ = - 3 \times 3 $
Simplify the above expression
 $ = - 9 $
Hence, $ ( - 144 \div 16) = ( - 9) $
Therefore, from the given multiple choices- the option C is the correct answer.
                                               OR
The above example can be solved by another method. If you are good in multiples and know the multiple table for
 $ = \dfrac{{ - 144}}{{16}} $
The above fraction can be re-written as –
 $ = \dfrac{{ - 16 \times 9}}{{16}} $
Common multiple from the numerator and the denominator cancel each other. Therefore remove
 $ = ( - 9) $
Hence, $ ( - 144 \div 16) = ( - 9) $
So, the correct answer is “-9”.

Note: Always remember these basic sign convention -
A.Division between two positive terms gives the resultant positive value.
B.Division between two negative terms gives the resultant positive value.
C.Division between one positive term in the numerator and the negative term in the D.Denominator gives the resultant negative value.
E.Division between one negative term in the numerator and the positive term in the F.denominator gives the resultant negative value.