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()TH thUradeName:Properties of Real Numbers Date:PropertyNameWhat it MeansClass:Example “of addition Example “of multiplication “’s will change order Commutative+8 8+A Commutative Change OrderAssociativeParenthesis
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How to fill out commutative property associative property

01
To fill out the commutative property, simply switch the order of the numbers being operated on. For addition and multiplication, the result will be same regardless of the order. For example, 2 + 3 is the same as 3 + 2, and 2 * 3 is the same as 3 * 2.
02
To fill out the associative property, group the numbers being operated on differently without changing their order. For addition and multiplication, the result will be the same regardless of how the numbers are grouped. For example, (2 + 3) + 4 is the same as 2 + (3 + 4), and (2 * 3) * 4 is the same as 2 * (3 * 4).

Who needs commutative property associative property?

01
The commutative property is useful for simplifying calculations and solving equations involving addition and multiplication. It allows us to rearrange the order of numbers without changing the result, making calculations easier and more efficient.
02
The associative property is beneficial for organizing mathematical expressions and simplifying calculations. It enables us to change the grouping of numbers in an expression without altering the result, which can make complex calculations more manageable.
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The commutative property states that the order in which numbers are multiplied or added does not change the result. The associative property states that the grouping of numbers in a multiplication or addition does not change the result.
Individuals and businesses who perform mathematical operations that involve addition or multiplication are required to understand and apply the commutative and associative properties.
To fill out the commutative and associative properties, you simply need to apply the rules when performing addition or multiplication operations. It is important to understand the properties and how they affect the outcome.
The purpose of the commutative and associative properties is to simplify mathematical operations and make calculations easier. By understanding and applying these properties, complex calculations can be broken down into simpler steps.
The commutative and associative properties themselves do not require reporting of information. However, the results of mathematical operations that involve these properties may need to be documented and reported in certain contexts.
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