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Copy HW in your homework log. Text p.68, #14-39

Objective graph and compare positive and

negative numbers.

WHOLE NUMBERWHOLE NUMBERa number that is whole

(no decimal) and positive.0, 1, 2, 3, …

Section 2.1, “Use Integers Section 2.1, “Use Integers and Rational Numbers”and Rational Numbers”

INTEGERINTEGERall whole numbers and

there opposites.

… -3, -2, -1, 0, 1, 2, 3, …

RATIONAL NUMBERRATIONAL NUMBERnumbers that can be written as the quotient of two integers (a fraction).

… -3,-2.5, -2, -1 ½, -1, 0, 1, 1 ½, 2, 2.5, 3, …

REAL NUMBERREAL NUMBERthe set of all rational

and irrational numbers.

Using the categories REAL NUMBERS, INTEGERS, RATIONAL NUMBERS, and WHOLE NUMBERS

label the VENN diagram below.

Real NumbersReal Numbers

Rational NumbersRational Numbers

IntegersIntegers

Whole Whole NumbersNumbersWhole NumbersWhole Numbers

0,1,2,3,4,5…0,1,2,3,4,5…

IntegersIntegers-3,-2,-1, 0,1,2,3…-3,-2,-1, 0,1,2,3…

Rational NumbersRational Numbers numbers that cannumbers that canrepresented as a represented as a ratio or fractionratio or fraction

0, bba

OPPOSITESOPPOSITES Two numbers that are the same distance from ZERO.

00 11 22 33 44 55-1-1-2-2-3-3-4-4-5-5

negative positivezero

What is the opposite of -3? Opposite of -3 = 3

ABSOLUTE VALUEABSOLUTE VALUE The distance a number is away from ZERO. Distance is always

positive.

00 11 22 33 44 55-1-1-2-2-3-3-4-4-5-5

negative positivezero

What is the absolute value of -4? or |-4| |-4| = 4

What is -|-4| -|-4| = -4

CONDITIONAL STATEMENTCONDITIONAL STATEMENT Has a hypothesis and a conclusion. An IF-THEN STATEMENT is a conditional statement where the ‘if’ is the hypothesis and the ‘then’ is the conclusion.Has a hypothesis and a conclusion. An IF-THEN STATEMENT is a conditional statement where the ‘if’ is the hypothesis and the ‘then’ is the conclusion.

IF-THEN STATEMENTS are either TRUE or FALSE.IF-THEN STATEMENTS are either TRUE or FALSE.

If the statement is FALSE, solve it by providing a COUNTEREXAMPLE.If the statement is FALSE, solve it by providing a COUNTEREXAMPLE.

If a number is positive, then its opposite is positive. If a number is positive, then its opposite is positive. FALSE; the number FALSE; the number would be negative.would be negative.

If a number is a rational number,If a number is a rational number, then the number is an integer. then the number is an integer.

FALSE; 0.5 is an example of a FALSE; 0.5 is an example of a rational number that is not an integer.rational number that is not an integer.