Which expression is an example of the Commutative Property of Addition?(1 point)
Responses
5(4+6)=50
5 left parenthesis 4 plus 6 right parenthesis equals 50
4×6×5=4×5×6
4 times 6 times 5 equals 4 times 5 times 6
(4×5)×6=4×(5×6)
left parenthesis 4 times 5 right parenthesis times 6 equals 4 times left parenthesis 5 times 6 right parenthesis
6+4+5=4+6+5
Consider the following equation: 4(3+5)=12+20 . This is an application of which property of operations?(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Distributive Property
Distributive Property
Associative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Consider the following equation: 4+3+5=5+3+4 . This equation shows an application of which property of operations?(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Associative Property of Multiplication
Distributive Property
Distributive Property
Associative Property of Addition
Which property of operations is signified by the movement of parentheses?(1 point)
Responses
Distributive Property
Distributive Property
Identity Property
Identity Property
Commutative Property
Commutative Property
Associative Property
Associative Property
5 answers
1. The expression "(4×5)×6=4×(5×6)" is an example of the Associative Property of Multiplication.
2. The equation "4(3+5)=12+20" is an application of the Distributive Property.
3. The equation "4+3+5=5+3+4" shows an application of the Commutative Property of Addition.
4. The property of operations signified by the movement of parentheses is called the Associative Property.
The Distributive Property is shown in the equation 4(3+5)=12+20, as it allows us to distribute the 4 to both terms inside the parentheses.
The equation 4+3+5=5+3+4 demonstrates the Commutative Property of Addition since the order of the numbers can be rearranged without changing the sum.
And lastly, the movement of parentheses signifies the use of the Associative Property, as it allows us to change the grouping of numbers without changing the result.