Which equation shows the identity property of multiplication?
a) 6 x 0 = 6
b) 6 x 4 = 4 x 6
c) (6x2)x4 = 6(2x4)
d) 6 x 1 = 6
Which equation shows the Identity Property of Multiplication?
The identity property of multiplication states that any number multiplied by 1 equals the same number. To determine which equation shows the identity property of multiplication, we need to find the equation where a number is multiplied by 1 and the result is the same number.
Let's explore each option:
a) 6 x 0 = 6: This equation shows multiplication by 0, not 1, so it does not represent the identity property.
b) 6 x 4 = 4 x 6: This equation shows the commutative property of multiplication, which states that the order of the factors can be changed without affecting the result. It does not represent the identity property.
c) (6x2)x4 = 6(2x4): This equation shows the associative property of multiplication, which states that the grouping of factors can be changed without affecting the result. It does not represent the identity property.
d) 6 x 1 = 6: This equation shows multiplication by 1, and the result is the same number (6), which demonstrates the identity property of multiplication.
Therefore, the correct answer is d) 6 x 1 = 6.