Question

Name the property of real numbers illustrated by the equation 14(xy) = (14x)y.

1) commutative property
2) identity property
3) associative property
4) distributive property

Answer 1

The equation 14(xy) = (14x)y demonstrates the associative property, which indicates that the grouping of numbers in multiplication does not affect the product.

Step-by-step explanation:

The property of real numbers illustrated by the equation 14(xy) = (14x)y is the associative property. This property states that when three or more numbers are multiplied together, the way in which they are grouped does not change the product. In this case, regardless of whether the number 14 is multiplied by x first and then the result by y, or 14 is multiplied by the product of x and y, the outcome is the same.