625×(-45)+(-625)×55 by distributive property. I need the solution
Answers
625 × ( - 45 ) + ( - 625 ) × 55
We know,
a × b + a × c = a × ( b + c )
so
==> 625 × ( - 45) + 625 × ( - 55 )
==> 625 × ( - 45 - 55 )
==> 625 × ( - 100 )
==> - 62500
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Answer:
-62500 is the required solution of 625 × (-45)+(-625)×55.
Step-by-step explanation:
Explanation:
Distributive property say that the sum of two or more addend multiplied by a number give the same answer as distributing the multiplier ,
multiplying each addend separately and adding the products together .
Given,
625 × (-45)+(-625)×55
We know that in distributive property we perform the addition first and
then multiply.
Therefore , 625 × (-45)+(-625)×55
⇒ 625 × (-45)+(625)×(-55)
By distributive property we first take common (625)
∴ 625 ×{(-45) +(-55)} (Where , distributive property a(a+b)=ab +ac)
So, we first add the numbers inside the bracket according to BODMAS rule.
⇒625 ×(-45 - 55)
⇒ 625 × (-100)
Now , multiplying we get ,
-62500
Final answer :
Hence , by distributive property the solution of 625 × (-45)+(-625)×55 is
-62500.