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Which equation shows the commutative property of multiplication? $\newline$ Choices: $\newline$ (A) $f \cdot (g \cdot h) = (f \cdot g) \cdot h$ $\newline$ (B) $f \cdot 0 = 0$ $\newline$ (C) $f \cdot g = g \cdot f$ $\newline$ (D) $h = f \cdot g$

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Quadratic equation with complex roots

Full solution

Q. Which equation shows the commutative property of multiplication?

\newline

Choices:

\newline

(A)

f \cdot (g \cdot h) = (f \cdot g) \cdot h

\newline

(B)

f \cdot 0 = 0

\newline

(C)

f \cdot g = g \cdot f

\newline

(D)

h = f \cdot g

Commutative Property Definition: The commutative property of multiplication states that changing the order of the factors does not change the product. In other words, for any two numbers $a$ and $b$ , the property is expressed as $a \times b = b \times a$ .
Examine Choices: Examine each choice to see which one represents the commutative property of multiplication: (A) $f \cdot (g \cdot h) = (f \cdot g) \cdot h$ - This is the associative property of multiplication, not the commutative property. (B) $f \cdot 0 = 0$ - This represents the multiplication property of zero, not the commutative property. (C) $f \cdot g = g \cdot f$ - This matches the definition of the commutative property of multiplication. (D) $h = f \cdot g$ - This is just an equation and does not represent any property of multiplication.
Identify Correct Choice: The correct choice that shows the commutative property of multiplication is (C) $f \cdot g = g \cdot f$ .

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