5 Fill in the blank.The equation (3 •6)• 4 = 3• (6• 4) demonstrates theproperty of multiplication.The equation (3 •6) • 4 = 3 • (6 • 4) demonstrates theproperty of multiplication.

Answered: Fill in the blank. The equation (3 •6)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Fill in the blank.
The equation (3 •6)• 4 = 3• (6• 4) demonstrates the
property of multiplication.
The equation (3 •6) • 4 = 3 • (6 • 4) demonstrates the
property of multiplication.

Expert Solution

Step 1 Introduction

Associative Property of Multiplication

According to the associative property of multiplication, if three or more numbers are multiplied, we get the same result irrespective of how the three numbers are grouped. Here, grouping means the way in which the brackets are placed in the given multiplication expression. Observe the following example to understand the concept of the associative property of multiplication. The expression on the left-hand side shows that 6 and 5 are grouped together, whereas, the expression on the right-hand side groups 5 and 7 together. However, when we finally multiply all the numbers, the resultant product is the same.

Associative Property of Multiplication Formula

The formula for the associative property of multiplication is (a . b) . c = a . (b . c).