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# properties

### properties of real numbers

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

4+(a+b)=(a+b)+4 $1000 | Commutative Property of Addition |

14+16=16+14 $2000 | Commutative Property of Addition |

(math) x (1/math) = 1 $3000 | Inverse Property of Multiplication |

There is only one real number that is the sum of 2.1 and 0.5 $4000 | Closure Property of Addition |

xy=yx $1000 | Commutative Property of Multiplication |

a+b+(-a) = b $2000 | Inverse Property of Addition |

There is only one real number that is the product of 5 and 6 $3000 | Closure Property of Multiplication |

Can 0 be a multiplication identity element? Why or not? $4000 | No, because a number multiplied by 0 equals 0, not the original value of the number. |

(4+y)+z = 4+(y+z) $1000 | Associative Property of Addition |

1(a+b) = a+b $2000 | Identity Element of Multiplication |

ab+cd+(-ab) = cd $3000 | Inverse Property of Addition |

Can 1 be an addition identity element? Why or why not? $4000 | No, because 1 does not give the original value of the number. It only increases the value 1. |

−41+0 = −41 $1000 | Identity Element of Addition |

Zero plus seven equals seven $2000 | Identity Element of Addition |

(6a)(8x)(1/6a) = 8x $3000 | Inverse Property of Multiplicationj |

Can a property ever be false? Why or why not? $4000 | No, a property is a statement that is true for every real number. |

1(b) = b $1000 | Identity Element of Multiplication |

(5+q)+(-3)=(q+5)+(-3) $2000 | Commutative Property of Addition |

If “add”=”increase” and “increase”=”plus”, then “add”=”plus” $3000 | Transitive Property of Equality |

If 8=5+3, then 5+3=8 $4000 | Symmetric Property of Equality |

(12)(−8)=(−8)(12) $1000 | Commutative Property of Multiplication |

3•(9•0)=(3•9)•0 $2000 | Associative Property of Multiplication |

If w+2=7 and 7=5+2 then w+2=5+2 $3000 | Transitive Property of Equality |

(-3+4)+5 = 5+(-3+4) $4000 | Commutative Property of Addition |

(4m)n=4(mn) $1000 | Associative Property of Multiplication |

(a+b)+c=a+(b+c) $2000 | Associative Property of Addition |

If a=b-c, then b-c=a $3000 | Symmetric Property of Equality |

9+5=(6+3)+5 $4000 | Substitution Property |

2(3+6) = 2•3 + 2•6 $1000 | Distributive Property |

Every real number is equal to itself $2000 | Reflexive Property of Equality |

2(5a)+2(4b)=2(5a+4b) $3000 | Distributive Property |

3+(2+1)=3+3 $4000 | Substitution Property |

1/2 • 5 = 1/2 • 5 $1000 | Reflexive Property of Equality |

Use the distributive property to rewrite −4(x+2) $2000 | -4x - 8 |

If 6+5=10+1 and 10+1=15-4, then 6+5=15-4 $3000 | Transitive Property of Equality |

If n= -5, then 3n = -15 | Substitution Property |

Created by:
bquimby