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# Properties of Math

### Properties of Mathematics

Term | Definition | ||
---|---|---|---|

Associative Property | (a+b)+c = a+(b+c) | No matter how the numbers are grouped the answers will always be the same. (addition and multiplication ONLY) (a*b)*c = a*(b*c) | When three or more numbers are added,the sum is the same regardless of the grouping of the addends |

Additive Inverse | a+(-a) = 0 | The sum of a number and its opposite is always zero | b+(-b) = 0 |

Additive Identity | a+0 = a | The sum of any number and zero is the original number | x+0 = x |

Reflexive Property | a=a | The "=" sign reflects the SAME VALUE on both sides of the equation | b=b |

Disbributive Property | a(b+c)=a*b + a*c | Distribute what is outside the parenthesis by what is inside the parenthesis | The sum of two numbers times a third number is equal to the sum of each addend times the third number |

Multiplicative Inverse | a/1 * 1/a = a/a = 1 | Any number multiplied by its reciprocal is always one | x/1 * 1/x = x/x = 1 |

Multiplicative Identity | a*1 = a | The product of any number and 1 is that number | x*1 = x |

Commutative Property | a+b = b+a | Numbers may be added or multiplied together in any order | When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands a*b = b*a |

Created by:
olssonn