Justify why 18×7 = 14×9 using the properties
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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Question
Justify why 18×7 = 14×9 using the properties.
Expert Solution
Step 1
In this question, concept of Associative Property is applied.
Associative Property
This characteristic indicates that when three or more numbers are added (or multiplied), the result is the same regardless of how the numbers are grouped (or the multiplicands).
- When numbers are grouped, they are enclosed in parenthesis or brackets.
- Three or more numbers form an associative attribute.
- Within a parenthesis or bracket, a set of numbers becomes a single unit.
- The associative attribute can only be applied to addition and multiplication, not subtraction or division.
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