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Tuesday #1:. Which of the following sentences does not belong with the other three. a. b. c. d. Tuesday #2:. Which expression is equivalent to 4 + 6(ac + 2b) + 2ac? a. 4 + 8ac + 12b b. 4 + 10ab + 2ac c. 4 + 12abc + 2ac d. 12ac + 20b.
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Tuesday #1: Which of the following sentences does not belong with the other three. a. b. c. d.
Tuesday #2: Which expression is equivalent to 4 + 6(ac + 2b) + 2ac? a. 4 + 8ac + 12b b. 4 + 10ab + 2ac c. 4 + 12abc + 2ac d. 12ac + 20b
Section 2-1 CLASSIFYING NUMBERS
Classifying Numbers • Natural Numbers • The set of counting numbers • 1, 2, 3, 4, … • Whole Numbers • The set of counting numbers and zero • 0, 1, 2, 3, 4, …
Classifying Numbers • Integers • The whole numbers and their opposites • … -4, -3, -2, -1, 0, 1, 2, 3, 4, …
Section 2-1 The number line
Number Line Examples {integers} {natural numbers}
Number Line Examples {rational numbers between -2 and 3} {integers less than 2}
Guided Practice GP 1 {-2, 0, 2, 4} GP 2 {-3, -1.5, 0, 1.5, 3}
Guided Practice GP 3 {½, pi}
Section 2-3 ABSOLUTE VALUE
Absolute Value The distance from zero on a number line. Absolute value is always positive. Examples: l -3 l = 3 l 4 l = 4
Absolute Value Treat the absolute value brackets like parentheses. Simplify the inside first, then take the absolute value. GP 4 Evaluate l 10 – 2 l GP 5 Evaluate l -2 - 10 l GP 6 Evaluate - l -3 l
Section 2-1 and 2-3 Integers
Adding and Subtracting Integers • Clean up the signs first! -7 – (-10) -7 + 10 Now use rules
Adding and Subtracting Integers • Clean up the signs first! • If the signs are the same, add the numbers and keep the sign. • If signs are different, subtract the numbers and keep the sign of the LARGER digit.
Guided Practice GP 7 -4 + -5 = -9 GP 8 -7 + 12 = 5 GP 9 15 - -4 = 19
Section 2-4 and 2.5 RATIONAL NUMBERS
Rational Numbers • Any number that can be written as a fraction (includes repeating and terminating decimals). • Examples: ¾, -2, 15, 0.75, 3.8
Adding and Subtracting Rational Numbers • Clean up the signs first! • If the signs are the same, add the numbers and keep the sign. • If signs are different, subtract the numbers and keep the sign of the LARGER digit. Same Rules as Integers
Guided Practice 13/24 GP 10 5/8 + (-1/12) = GP 11 -0.005 + 0.0043 = -0.0007 1/2 GP 12 3/8 – (-1/8) =
Download all Study Guides for Ch 2 (under Obj 1b Matrices) Assignments: 2-3 Study Guide ODDS 2-5 Study Guide # 7 – 16 Ch 1 Target Assessment --due by end of class