Question

which property of addition is used in the following?(7+9)+5=7+(9+5)​

Answer 1

Answer:

Communative Property

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Answer 2

Answer:

The associative property of addition is used in the (7 $+$ 9) $+$ 5 = 7 $+$ (9 $+$ 5).

Step-by-step explanation:

Associative property of addition:-

• The property of the numbers which states that the way in which three or more numbers are grouped does not change the sum of these numbers is known as the associative property of addition.
• Let a, b, and c be any three integers. Then,

        (a $+$ b) $+$ c = a $+$ (b $+$ c)

Step 1 of 1

To find:-

The property used in the expression (7 $+$ 9) $+$ 5 = 7 $+$ (9 $+$ 5).

Consider the left-hand side of the given expression as follows:

⇒ (7 $+$ 9) $+$ 5

Add the set of numbers inside the brackets as follows:

⇒ 16 + 5

⇒ 21

Now,

Consider the right-hand side of the given expression as follows:

⇒ 7 $+$ (9 $+$ 5)

Add the set of numbers inside the brackets as follows:

⇒ 7 + 14

⇒ 21

Thus, LHS = RHS

Final answer: The associative property of addition is used in the (7 $+$ 9) $+$ 5 = 7 $+$ (9 $+$ 5).

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