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# Algebra Terms

### review of Algebra Terms

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

1, 2, 3, 4, 5, . . . are called? | Counting or natural numbers |

the set of natural numbers plus the number zero | Whole numbers which include the number of zero |

Who were the first to use zero to develop the place-value number system that we usetoday? | Arab and Indian scholars |

Zero is the _____, because adding zero to a number does not change the number | |

1 is the _______ because multiplying a number by 1 does not change it. | |

negative versions of the countingnumbers is called the ____? | integers |

. . . –4, –3, –2, –1, 0, 1, 2, 3, 4, . . . | Whole numbers plus negatives |

For every real number n, there exists its opposite, denoted – n, such that the sum of n and – n is zero, or | n + (– n) = 0 |

“–3” is one object—it stands for? | "negative three,” |

zero is considered to be neither negative nor | positive |

Add fractions to the set of integers, we get the set of | rational numbers |

“rational” contains the word “ratio,” | which should remind you of fractions |

bottom of the fraction is called | denominator |

denomination—ittells you what size fraction we are talking about | fourths, fifths, etc. |

The top of the fraction is called the | numerator |

The denominator cannot be | zero! Numerator could be a zero |

Fractions can be numbers smaller than 1, like 1/2 or 3/4 called? | proper fractions |

they can be numbers bigger than 1 (called ______ ), like two-and-ahalf, which we could also write as 5/2 | improper fractions |

All integers can also be thought of as rational numbers, with a denominator of 1: | 3= 3/1 |

There are numbers that cannot be expressed as a fraction, andthese numbers are called _____ because they are not rational. | irrational |

Any number that represents an amount of something,such as a weight, a volume, or the distance between two points, will always be a | a real number |

The real numbers have the property that they are ordered, which means that given anytwo different numbers we can always say that one is greater or less than the other. | For any two real numbers a and b, one and only one of the following three statements istrue:1. a is less than b, (expressed as a < b;2. a is equal to b, (expressed as a = b;3. a is greater than b, (expressed as a > b) |

Created by:
stamberger