Question

Name the property Illustrated by the equation

54$(2\cdot 5)\cdot 6=2\cdot (5\cdot 6)$

Short answer

The Associative property of multiplication is used in the expression.

Step-by-step solution

Step-1 – Apply the concept of Associative property of multiplication

The associative property of multiplication says that the way we group three numbers when multiplying does not change the product.

• The associative property always involves 3 or more numbers.
• The numbers grouped within parentheses are terms in the expression that considered as one unit.

Step-2 – Example for the Associative property of multiplication

The Associative property of multiplication of$a\cdot (b\cdot c)$is$(a\cdot b)\cdot c$

Step-3 – Evaluate the expression

Simplify as follows:$\begin{array}{c}(2\cdot 5)\cdot 6=2\cdot (5\cdot 6)\\ \left(10\right)\cdot 6=2\cdot \left(30\right)\\ 60=60\end{array}$

The way we group three numbers when multiplying does not change the product so this isthe Associative property of multiplication.

Thus, theAssociative property of multiplication is used in the expression.