Do Now 9/20/10 Copy HW in your homework log. Text p.68, #14-39.
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Transcript of Do Now 9/20/10 Copy HW in your homework log. Text p.68, #14-39.
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Do Now 9/20/10
Copy HW in your homework log. Text p.68, #14-39
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Objective graph and compare positive and
negative numbers.
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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”
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INTEGERINTEGERall whole numbers and
there opposites.
… -3, -2, -1, 0, 1, 2, 3, …
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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, …
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REAL NUMBERREAL NUMBERthe set of all rational
and irrational numbers.
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Using the categories REAL NUMBERS, INTEGERS, RATIONAL NUMBERS, and WHOLE NUMBERS
label the VENN diagram below.
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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
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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
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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
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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.