Q. Which equation shows the zero property of multiplication?Choices:(A) d⋅f=g+h(B) d⋅f−d⋅g=d⋅(f−g)(C) (d⋅f)⋅g=d⋅(f⋅g)(D) 0⋅d=0
Identify Zero Property: Identify the zero property of multiplication. The zero property of multiplication states that any number multiplied by 0 equals 0.
Analyze Choices: Analyze each choice to see which one represents the zero property of multiplication.(A) d⋅f=g+h does not show any number being multiplied by 0.
Option (A): (B) d⋅f−d⋅g=d⋅(f−g) demonstrates the distributive property, not the zero property.
Option (B):(C)(d⋅f)⋅g=d⋅(f⋅g) shows the associative property of multiplication, not the zero property.
Option (C):(D)0⋅d=0 clearly shows that zero multiplied by any number d equals zero, which is the zero property of multiplication.
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