please answer me please
Answers
Answer:
GIVEN :
• a = - 71
• b = 4
• c = - 5
TO PROVE :
a ×( b × c) = (a × b) × c
SOLUTION :
solving L.H.S (Left Hand Side)
=> - 71 × (4 × -5)
=> -71 × -20
=> 1420
solving R.H.S. (Right Hand Side)
=> (-71 × 4) × -5
=> - 284 × - 5
=> 1420
Since, LHS = RHS
Hence, proved
______________
Hope this helps!
Step-by-step explanation:
a = -71
b = 4
c = -5
Now,
a × b = -71 × 4 = -284 ... equation (1)
b × c = 4 × -5 = -20 ... equation (2)
Left hand side of your equation,
LHS = a × (b × c)
= a × (-20) ... (from eqn (2))
= -71 × -20 = 1420
Right hand side of your equation,
RHS = (a × b) × c
= (-284) × c ... from equation (1)
= -284 × -5 = 1420
So, LHS and RHS are equal
Hence, Proved!
Side note: This is called the 'associative property of multiplication'
Hope that helps