Chapter 3: Q54. (page 135)

Name the property Illustrated by the equation
54 $(2 \cdot 5) \cdot 6 = 2 \cdot (5 \cdot 6)$

Short Answer

Expert verified

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: $\begin{matrix} (2 \cdot 5) \cdot 6 = 2 \cdot (5 \cdot 6) \\ (10) \cdot 6 = 2 \cdot (30) \\ 60 = 60 \end{matrix}$

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.

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Name the property Illustrated by the equation
54 $(2 \cdot 5) \cdot 6 = 2 \cdot (5 \cdot 6)$

Short Answer

Step by step solution

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

Step-2 – Example for the Associative property of multiplication

Step-3 – Evaluate the expression

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Name the property Illustrated by the equation54(2⋅5)⋅6=2⋅(5⋅6)

Short Answer

Step by step solution

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

Step-2 – Example for the Associative property of multiplication

Step-3 – Evaluate the expression

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Name the property Illustrated by the equation
54 $(2 \cdot 5) \cdot 6 = 2 \cdot (5 \cdot 6)$