Q54. - Algebra 2

Question

Name the property Illustrated by the equation

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

Step-by-Step Solution

Answer

The Associative property of multiplication is used in the expression.

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 is the Associative property of multiplication.

 

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