Question

Evaluate using properties:. a)724×(-56)+(-724)×44

Answer 1

a] 724 x (-56) + (-724) x 44
SOLUTION ]  = 724 x (-56) - 724 x 44
                       = (-724) x (-56-44)         { Distributive property }
                       = (-724) x (-100)
                       = 7240  ANS
          

Answer 2

Answer:

724×(-56)+(-724)×44  =  -72400

Step-by-step explanation:

Required to find the value of

724×(-56)+(-724)×44 using properties

Recall the property

The distributive property of integers

a(b+c) = a×b + a×c ---------------------(1)

where a,b,c are any three integers

Solution:

The given expression is

724×(-56)+(-724)×44 = 724 × (-56) - (724)×44

= 724 × (-56) + 724×(-44)

Substituting the values of a = 724, b= -56 and c = -44 in equation (1) we get

724 × (-56) + 724×(-44) = 724 [(-56) + (-44)]

=724 × (-100)

= -72400

∴724×(-56)+(-724)×44  =  -72400

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