Question

Which property of addition satisfies the statement?

[(-345) + (-20)] + 67 = (-345) + [(-20) + 67]

a) Closure
(b) Commutative

(c) Associative

(d) Identity​

Answer 1

Answer:

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Explanation:

This is Associative law that means, while adding three rational numbers , they can be grouped in any order the answer will same

Answer 2

Given :- Which property of addition satisfies the statement ?

[(-345) + (-20)] + 67 = (-345) + [(-20) + 67]

(a) Closure

(b) Commutative

(c) Associative

(d) Identity

Solution :-

we know that,

(a) Closure property of addition :-

• sum of two or three whole numbers = A whole number .

(b) Commutative property of addition :-

• a + b = b + a

(c) Associative property of addition :-

• (a + b) + c = a + (b + c)

(d) Identity property of addition :-

• a + 0 = a

so, using Associative property of addition we get,

• a = (-345)
• b = (-20)
• c = 67

putting values ,

→ (a + b) + c = a + (b + c)

→ [(-345) + (-20)] + 67 = (-345) + [(-20) + 67]

→ (-365) + 67 = (-345) + 47

→ (-298) = (-298)

therefore, we can conclude that, Associative property of addition satisfies the given statement .

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