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# Algebra Terms

### review of Algebra Terms

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