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Universities » Washtenaw Community College (WCC.. » MTH - Mathematics(MTH) » 067 - Foundations of Mathematics.. » Flash Cards

Chapter 9 - Flashcards

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Class:MTH 067 - Foundations of Mathematics
Subject:Mathematics(MTH)
University:Washtenaw Community College
Term:Winter 2010
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| | Absolute value. Take the value of whatever is in the brackets and make it positive. EXAMPLE: |-6| = 6 |6| = 6
natural numbers The set of counting numbers, but not zero. {1,2,3,4,5,6,7,8,9,...}
<----------|----------> - 0 + Number line. Left: Negative integers Zero: point of origin, 0 Right: Positive integers
Irrational Numbers In mathematics, an irrational number is any real number that is not a rational number-that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers, with n non-zero. { pie, square root of 2, ...}
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Real Numbers In mathematics, the real numbers include both rational numbers, such as 42 and 23/129, and irrational numbers, such as pi and the square root of two; or, a real number can be given by an infinite decimal representation, such as 2.4871773339..., where the digits continue in some way; or, the real numbers may be thought of as points on an infinitely long number line.
- negative
+ positive
Integers The integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French) are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (1, 2, 3, ...).
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< less than
> greater than
additive inverses for every positive and negative interger there is an opposite. ex: 3 is the opposite of -3
____ use two signs together without parenthesis never
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Definition of subtraction the difference: a-b=c means a=b+c
rules for multiplying and dividing numbers same (like) signs + different -
multiplication property of zero for any real number a, a * 0 =0 * a = 0
division by zero In mathematics, a division is called a division by zero if the divisor is zero. cannot divide by zero (undefined)
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addition of rational numbers 1. if both numbers have the same sign, add their absolute values and give the sum the common sign. 2. if the numbers have the opposite sign, subtract heir absolute values and give the difference the sign of the number with the greater absolute value.
subtraction of rational numbers for any rational numbers, a and b a - b = a +(-b)
PEMDAS PEMDAS stands for Please Excuse My Dear Aunt Sally. P: Perentheses E: Exponents M: Multiplication D: Division A: Addition S: Subtraction
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 | |Absolute value. Take the value of whatever is in the brackets and make it positive.

EXAMPLE:
|-6| = 6
|6| = 6
 natural numbersThe set of counting numbers, but not zero.

{1,2,3,4,5,6,7,8,9,...}
 <----------|----------> - 0 +Number line.

Left: Negative integers
Zero: point of origin, 0
Right: Positive integers
 Irrational NumbersIn mathematics, an irrational number is any real number that is not a rational number-that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers, with n non-zero.

{ pie, square root of 2, ...}
 Real NumbersIn mathematics, the real numbers include both rational numbers, such as 42 and 23/129, and irrational numbers, such as pi and the square root of two; or, a real number can be given by an infinite decimal representation, such as 2.4871773339..., where the digits continue in some way; or, the real numbers may be thought of as points on an infinitely long number line.
 -negative
 +positive
 IntegersThe integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French) are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers (1, 2, 3, ...).
 <less than
 >greater than
 additive inversesfor every positive and negative interger there is an opposite.

ex:
3 is the opposite of -3
 ____ use two signs together without parenthesisnever
 Definition of subtractionthe difference: a-b=c means a=b+c
 rules for multiplying and dividing numberssame (like) signs +
different -
 multiplication property of zerofor any real number a,
a * 0 =0 * a = 0
 division by zeroIn mathematics, a division is called a division by zero if the divisor is zero.
cannot divide by zero (undefined)
 addition of rational numbers1. if both numbers have the same sign, add their absolute values and give the sum the common sign.

2. if the numbers have the opposite sign, subtract heir absolute values and give the difference the sign of the number with the greater absolute value.
 subtraction of rational numbersfor any rational numbers, a and b

a - b = a +(-b)
 PEMDASPEMDAS stands for Please Excuse My Dear Aunt Sally.

P: Perentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
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