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The appropriate properties of the following expression =35=35+0=5×7+0 are _______

Option 1: Commutative
Option 2: Associative
Option 3: Distributive
Option 4: Identity.

1 Answer

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Final answer:

The expression illustrates the identity property of addition, which states that adding zero to a number leaves it unchanged.

Step-by-step explanation:

The expression given can be evaluated using the identity property of addition, which states that any number plus zero is the number itself. Here, the expression 35 = 35 + 0 can be looked at from the identity property perspective, confirming that adding zero to a number does not change its value. Additionally, when we relate it to multiplication, 5×7 + 0 maintains the identity property because the zero does not affect the product of 5 and 7. Hence, the most suitable answer for the mentioned expression is the identity property.

It is important to clarify that while other properties like commutative (A+B=B+A), associative ((A+B)+C=A+(B+C)), and distributive (A(B+C)=AB+AC) are vital in understanding mathematical operations, they are not the primary properties being illustrated in this given expression.

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