Question

which property of addition satisfies the statement? [(-345)+(-20)]+67=(-345)+[(-20)+67]
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Answer 1

Answer:

ASSOCIATIVE PROPERTY.

IT SATISFIES ASSOCIATIVE PROPERTY.

Answer 2

Concept

The associative property of addition is a rule that states that when adding three or more numbers, we can group them in any combination and the sum remains the same regardless of how they are grouped. The placement of brackets is referred to as grouping in this case.

Let p, q and r are real numbers, then according to associative property, we can say that

(p + q) + r = p + (q + r)

Given

Given the expression : [(-345)+(-20)]+67=(-345)+[(-20)+67]

Find

We have to state the property of addition that satisfies the given expression.

Solution

Now, [(-345)+(-20)]+67 = - 365 + 67 = -298

and (-345)+[(-20)+67] = (-345) + 47 = -298

Clearly, we can see that the sum is unaffected by different ways of grouping numbers.

So, we can conclude that this is associative property of addition.

Therefore, the property of addition that satisfies the given expression is the associative property.

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