Answer:
[tex]\boxed{\sf Associative \:property\: of \:addition}[/tex]
- [tex]\sf (4 + 5) + 2 = 4 + (5 + 2)[/tex]
[tex]\boxed{\sf Distributive \:property}[/tex]
- [tex]\sf 2(2x + 4) = 4x + 8[/tex]
[tex]\boxed{\sf Associative\: property \:of \: multiplication}[/tex]
- [tex]\sf ( 7 * x ) *3 = 7 (x *3)[/tex]
[tex]\boxed{\sf Commutative \:property\: of \:multiplication}[/tex]
- [tex]\sf ( 8* x *2) = (x *8* 2)[/tex]
[tex]\boxed{\sf Commutative \:property \:of \: addition}[/tex]
- [tex]\sf ( 7 + 3) + 1 = 1 + (7 + 3)[/tex]
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Associative property of addition: Changing grouping of addends doesn't change the sum.
Distributive property: Multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
Associative property of multiplication: Changing grouping of the factors doesn't change the products.
Commutative property of multiplication: Changing order of the factors doesn't change the products.
Commutative property of addition: Changing order of addends doesn't change the sum.
