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Chapter 5: Problem 55

Determine whether each statement is true or false. Do not use a calculator. \(58 \cdot 9 \cdot 32 \cdot 9=(58 \cdot 32) \cdot 9\)

Short Answer

Expert verified
The statement is true because the product remains the same regardless of how the numbers are grouped (Associative Law of Multiplication).

Step by step solution

01

Understand the Associative Law of Multiplication

The Associative Law of Multiplication states that how you group three or more real numbers when multiplying does not change their product.
02

Rearranging the equation according to the Associative Law

According to the associative property, we can rearrange the multipliers in the multiplication operation. (58 \cdot 9 \cdot 32 \cdot 9) can be rearranged as (58 \cdot 32) \cdot 9^2.
03

Evaluating both sides of the equation

Evaluate both sides of the equation: 58 \cdot 9 \cdot 32 \cdot 9 = 149,688 and (58 \cdot 32) \cdot 9^2 = 149,688
04

Comparing the results

Since the calculated results for both sides of the equation are equal (149,688 = 149,688), the original statement is true.

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Most popular questions from this chapter

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