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### Order of operations

Parentheses, Exponents, Multiply/Divide, Add/Subtract (Please Excuse My Dear Aunt Sally)

### Associative Property

If parentheses can be moved to group different numbers in an arithmetic problem without changing the result, then the operation is associative. Addition and multiplication are associative.

2 + (3 + 4) = (2 + 3) + 4

2 (ab) = (2a) b

### Additive identity

The value that, when added to a number, does not change the number. For all integers, the additive identity is 0.

5 + 0 = 5

### Multiplicative identity

The value that, when multiplied by a number, does not change the number. For all integers, the multiplicative identity is 1.

5 x 1 = 5

### Multiplicative inverse

The number that, when multiplied by the number, gives you the multiplicative identity (1).

1/5 is the multiplicative identity of 5

### Additive inverse

The number that, when added to the number, give you the additive identity (0).

The additive inverse of 3 is -3