\((–16)\div 4\) is not same as
\((–4)\div 16\)
\(-\,(16\div 4)\)
\(16\div(–4)\)
–4
Step 1: Evaluate the left side
((-16) div 4)
One number is negative and the other is positive, so the result is negative.
((-16) div 4 = -,(16 div 4))
(16 div 4 = 4)
( herefore (-16) div 4 = -4)
Step 2: Check each option
(b)
(-,(16 div 4))
(16 div 4 = 4)
( herefore -,(16 div 4) = -4)
(c)
(16 div (-4))
Again, one positive and one negative → result is negative.
(16 div (-4) = -4)
(d)
(-4)
This is exactly the same value as the left side.
(a)
((-4) div 16)
((-4) div 16 = -, rac{4}{16})
(-, rac{4}{16} = -, rac{1}{4})
This is not equal to (-4).
Conclusion: Options (b), (c), and (d) all equal (-4). Only (a) gives (- frac{1}{4}), so it is not the same.