Q. Which equation shows the associative property of multiplication?Choices:(A) g⋅(h⋅j)=(g⋅h)⋅j(B) g=g⋅1(C) g⋅1=g(D) 0=g⋅0
Property of Multiplication: The associative property of multiplication states that when three or more numbers are multiplied, the way in which they are grouped does not affect the product. In other words, (a⋅b)⋅c=a⋅(b⋅c). We need to find the equation that represents this property from the given choices.
Examine Choice (A): Let's examine choice (A): g⋅(h⋅j)=(g⋅h)⋅j. This equation shows that the product of g and the product of h and j is the same as the product of g and h and then multiplying the result by j. This is the associative property of multiplication.
Choice (B): Choice (B): g=g⋅1 does not represent the associative property. It represents the identity property of multiplication, which states that any number multiplied by 1 equals the number itself.
Choice (C): Choice (C): g⋅1=g also represents the identity property of multiplication, not the associative property.
Choice (D): Choice (D): 0=g⋅0 represents the zero property of multiplication, which states that any number multiplied by 0 equals 0.
Conclusion: Based on the examination of all choices, we can conclude that choice (A) correctly represents the associative property of multiplication.
More problems from Factor sums and differences of cubes