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# Number Properties

### Properties of numbers terms - Algebra I by BJU Press

Question | Answer |
---|---|

Which property of numbers shows that if you add two numbers together in different orders, the sum is the same? | commutative property of addition a + b = b + a |

Which property of numbers shows that if you group numbers together differently when adding, the sum is the same? | associative property of addition a + (b + c) = (a + b) + c |

Which property of numbers shows that if you add zero to any number, or add the number to zero, you get the original number? | additive identity property a + 0 = a and 0 + a = a |

Which property of number shows that the sum of a number ad its oposite is always zero (the additive identity number)? | additive inverse property a + (-a) = 0 |

Which property of numbers shows that if you multiply two numbers together in different orders, the product is the same? | commutative property of multiplication ab = ba |

which property of numbers shows that if you group numbers together differently when multiplying, the product is the same? | associative property of multiplication a(bc) = (ab)c |

Which property of numbers shows that if you multiply any number by one (or one by any number), you get the original number? | multiplicative identity property 1 x a = a and a x 1 = a |

Which property of numbers shows that the product of a number with a sum gives the same result as multiplying each addend by the number and then adding? | distributive property of multiplication over addition a(b + c) = ab + ac |

Which property of numbers shows that the product of a number and zero is zero? | zero property of multiplication a x 0 = 0 |

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