the sum of two numbers times a third is equal to the sum of each of the added numbers times the third

Distributive Property of real numbers states the following statement
a( b + c ) = ab + bc
The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.
For example:
1. 5 x ( 3 + 8 ) = 5x3 + 8x5
2. 10 x ( 9 - 8 ) = 10x9 - 10x8
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
For example:
1. 5 x ( 4 x 2 ) = ( 5 x 4 ) x 2 = ( 5 x 2 ) x 4 = 40
firstly we are grouping 4 and 2 together and multiplying them first then multiply it by 5.
secondly we are grouping 5 and 4 together and multiplying them first then multiply it by 2.
thirdly we are grouping 5 and 2 together and multiplying them first then multiply it by 4.
The basic difference between Distributive Property and Associative Property.
Hence, Distributive Property of real numbers states the following statement: a( b + c ) = ab + bc
Learn more about "Distributive Property and Associative Property" from here: https://brainly.com/question/13130806
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