Match each equation to the property it represents.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
7⋅1=7
3 ⋅ 6 = 6 ⋅ 3
2+(4+6)=(2+4)+6
4(5+9)=4(5)+4(9)
7⋅1=7 - Identity Property of Multiplication
3 ⋅ 6 = 6 ⋅ 3 - Commutative Property of Multiplication
2+(4+6)=(2+4)+6 - Associative Property of Addition
4(5+9)=4(5)+4(9) - Distributive Property
The equations and their corresponding properties are as follows:
1. 7⋅1=7 represents the property of the multiplication identity.
2. 3 ⋅ 6 = 6 ⋅ 3 represents the property of the commutative property of multiplication.
3. 2+(4+6)=(2+4)+6 represents the property of the associative property of addition.
4. 4(5+9)=4(5)+4(9) represents the property of the distributive property.
The equations can be matched to the properties they represent as follows:
1. 7⋅1=7 corresponds to the property of multiplicative identity, where any number multiplied by 1 equals the original number. Therefore, the correct response for this equation is "Multiplicative Identity."
2. 3⋅6=6⋅3 represents the property of commutativity for multiplication, which states that the order of multiplication does not affect the result. Hence, the correct response for this equation is "Commutativity."
3. 2+(4+6)=(2+4)+6 showcases the property of associativity for addition, which states that the grouping of numbers being added does not change the final sum. For this equation, the correct response is "Associativity."
4. 4(5+9)=4(5)+4(9) illustrates the property of distributivity, wherein a number is distributed or multiplied to each term inside parentheses. The correct response for this equation is "Distributivity."