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# Math 110 week 1

### fall 2007 Math 110 test 1

Inductive reasoning general conclusion (conjecture) from repeated observations of specific examples. May or may not be true
Deductive reasoning general principals to specific examples
Natural numbers Those with which we count discrete objects {1, 2, 3, 4, .....} is the set of natural numbers
Rational numbers {x| x is a quotient of two integers, with denominator not equal to 0} (read the part in the braces as “the set of all numbers x such that x is a quotient of two intgers, with denominator not equal to 0)
Whole numbers By including 0 in the set we obtain the set of whole numbers {0, 1,2,3,….}is the set of whole numbers
Irrational numbers {x|x is a number on the number line that is not rational}is the set of irrational numbers
Integers 0 and all whole #’s + & - |{…..-3, -2,-1, 0, 1,2,3…} |Not all #’s r intgers ie ½ is not it is a # ½ way between the intgers 0 & 1
Real numbers {x|x is a number that can be representated by points on the number line} is the set of real numbers
rational numbers rational numbers {x| x is a quotient of two integers, with denominator not equal to 0} Can be written as decimal numbers, Any rational number can be written as a decimal that will come to an end (terminate), or repeat in a fixed “block” of digits for ex
quotient =. The number obtained by dividing one quantity by another. In 45 ÷ 3 = 15, 15 is the quotient
irrational nmbers irrational numbers {x|x is a number on the number line that is not rational}i
Real numbers Real numbers {x|x is a number that can be represent Ted by points on the number line} {x|x is a number that can be representated by points on the number line} is the set of real numbers Can be written as decimal numbers, Any rational number can be writte
1. Consider the set {-5, - , - , -.7, 0, 7.1, 15}. 2. List the elements of the set that belong to each of the following.a. natural numbers whole numbers integers rational numbers - a. natural numbers{15, 7.1,} b. whole numbers {0, 15, 7,1,} c. integers {1,5, 7,10,-5,}d. rational numbers -
Created by: garrowcousino