Fundamentals of Math

Fundamentals of Mathematics

Distributive Property

The distributive property applies to the cases that make use of both addition and multiplication. It states that if a term is multiplied by terms in parenthesis, we need to "distribute" the multiplication over all the terms inside.

× ( + ) = ( × ) + ( × ) or 2 × (3 + 4) = (2 × 3) + (2 × 4)

Identity Property of ...

Identity property describes the value that is added or multiplied to a number so that the original value of a number remains unchanged.

Addition

Multiplication

Zero (the additive identity) added to any number results in the same number.

One (the multiplicative identity) multiplied to any number results in the same number.

+ 0 =

× 1 =

or

or

1 + 0 = 1

2 × 1 = 2

Inverse Property of ...

The Inverse property describes the value you must add/multiply the original value by to bring you back to the identity value (0 for addition and 1 for multiplication).

Addition

Multiplication

Multiplicative inverse of a would be −1 or 1 . The multiplication of a real number with its multiplicative inverse would be equal to 1,

Additive inverse is denoted by a negative sign. That is, the additive inverse of a would be (− ) . Addition of a real number with its additive inverse would be 0.

1

+ (− ) = 0

×

= 1

or

or

1 2

1 + (−1) = 0

2 ×

= 1

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