The property illustrated by the given equation is Distributive property.
We have the following -
8 (- 5 + 7) = - 40 + 56
We have to determine which property is illustrated in the given equation.
<h3>What are the various Properties of Addition of two numbers?</h3>
The properties are as follows -
Commutative property : It states that changing the order of addends does not change the sum.
For example, 4 + 2 = 2 + 4.
Associative property : It states that changing the grouping of addends does not change the sum.
For example, (2 + 3) + 4 = 2 + (3 + 4).
Identity property : It states that the sum of 0 and any number is that number.
For example, 0 + 4 = 4.
Distributive property : It states that if -
a x ( b + c) = d
then -
(a x b) + (a x c) = d
According to question, we have -
8 (- 5 + 7) = - 40 + 56
LHS of the equation can be written as -
(8 x -5) + (8 x 7)
which is also same as = -40 + 56
Hence, The property illustrated by the given equation is Distributive property.
To solve more questions on properties of addition, visit the link below -
brainly.com/question/14092461
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