# Properties of Real Numbers

Identifying which Propery of Real Numbers is represented in each equation.

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Number Property Match Up

The purpose of this game is to allow students to identify each number property when viewing an example of each.

Matching Properties and Numbers

Do the equation and the property of the real number system belong together, or is it heartbreak hotel?

That property is not right!

Identify the number property, equation and property definition that do not belong together.

Number Property Study

Study the Number Properties, definitions and examples. Mark a check if you know the information, and X if you need to keep studying.

Matching Properties and Numbers

Do the equation and the property of the real number system belong together, or is it heartbreak hotel?

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Property | Example | Explanation |
---|---|---|

Commutative Property of Addition | 5+4 = 4+5 | changing the order of the addends does not change the sum |

Identity Property of Multiplication | 7 x 1 = 7 | any number multiplied by one is itself |

Associative Property of Multiplication | 3(2 x 4) = (3 x 2)4 | the product of any numbers is the same regardless of how they products are grouped |

Inverse Property of Addition | -6 + 6 = 0 | a whole number added to its opposite will always equal zero |

Commutative Property of Multiplication | 9 x 2 = 2 x 9 | the order in which two factors are multiplied has no effect on the product |

Inverse Property of Multiplication | 8 x 1/8 = 1 | a whole number multiplied by its multiplicative inverse will always equal one |

Associative Property of Addition | (1+3) +5 = 1 +(3+5) | the sum of a set of numbers will be the same regardless of how they are grouped |

Distributive Property of Multiplication | 4 (2+3) = 8 + 12 | multiplying a sum by a number is the same as multiplying each number by a factor and then adding the products together |

Multiplicative Property of Zero | 7 x 0 = 0 | the product of any number and zero is always zero |

Commutative Property of Addition | n+4 = 4+n | changing the order of the addends does not change the sum |

Identity Property of Multiplication | 1x9 = 9 | any number multiplied by one is itself |

Associative Property of Multiplication | (5x4) x 2= 5(4x2) | the product of any numbers is the same regardless of how they products are grouped |

Inverse Property of Addition | 4+ (-4) = 0 | a whole number added to its opposite will always equal zero |

Commutative Property of Multiplication | 3 x 12=12x 3 | the order in which two factors are multiplied has no effect on the product |

Inverse Property of Multiplication | 1/p x p = 1 | a whole number multiplied by its multiplicative inverse will always equal one |

Associative Property of Addition | (5+2)+ 8 = 5+(2+8) | the sum of a set of numbers will be the same regardless of how they are grouped |

Distributive Property of Multiplication | 2(6+3) = 12+6 | multiplying a sum by a number is the same as multiplying each number by a factor and then adding the products together |

Multiplicative Property of Zero | -8 x 0 = 0 | the product of any number and zero is always zero |