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Do Now 9/21/10 Take out HW from last night. Text p. 24-25, #1-11 all, #18-41 all Copy HW in your planner. Text p. 25, #42-50 all, #54-64 all, but not 60 Quiz Sections 1.3-1.4 Wednesday In your journal, explain why the absolute value of a number is always positive. Can you create a problem that contains an absolute value symbol where the answer would be negative? Homework Text p. 24-25, #1-11 all, #18-41 all 1) 22.5 2) distance is always positive 3) -9, -5, -3, 0, 6, 12 4) 1 5) 9 6) 15 7) 12 8) -14 9) 33 10) 24 11) -81 22) -12, -6, -1, 0, 4 23) -8, -5, -4, 7, 15 24) -10, -5, 35, 40, 60 25) -30, -25, -22, -16 26) 22 27) 7 28) 21 29) 40 30) 38 31) 42 32) 73 33) 105 34) -6 35) -9 36) 2 37) 11 38) 31 39) 67 40) -81 41) -100 Objective SWBAT evaluate expressions involving absolute value brackets and negatives. Section 1.4, “Compare and Order Integers” Integer- the set of whole numbers and their opposites Integers Integers are divided into three categories: Positive numbers Negative numbers Zero -5 -4 -3 -2 -1 0 1 2 3 4 5 negative zero positive ABSOLUTE VALUE The distance a number is away from ZERO. Distance is always “positive.” -5 -4 -3 -2 negative -1 0 1 2 zero What is the absolute value of -4? or |-4| What is |4| ? 3 4 5 positive |-4| = 4 |4| = 4 Evaluate the Expressions when x = -5 -x Substitute -(-5) The opposite of -5 is 5. 5 17– |x| 17 – |-5| 17 – 5 12 Substitute The absolute value of -5 is 5. Evaluate the Expressions when x = -4 and y = -7 (-x) + (-y) -(-4) + -(-7) 4+7 11 |y| – |-x| |-7| – |-(-4)| 7–4 3 Evaluate the Expressions when x = -4 and y = -7 -|x| -|-y| -|-4| -4 -|-(-7)| -7 The absolute value of -4 is 4. The opposite of 4 is -4. The absolute value of -(-7) is 7. The opposite of 7 is -7. Review Sections 1.3 & 1.4 Section 1.3, Order of Operations Order of Operations – the rules established to evaluate an expression involving more than one operation Order of Operations PEMDAS 1 2 3 4 Evaluate expressions within grouping signs. ( ) parentheses, [ ] brackets, fraction bars Evaluate powers. Multiply and divide from left to right. Add and subtract from left to right. Section 1.4, “Compare and Order Integers” Integer- the set of whole numbers and their opposites Integers Integers are divided into three categories: Positive numbers Negative numbers Zero -5 -4 -3 -2 -1 0 1 2 3 4 5 negative zero positive ABSOLUTE VALUE The distance a number is away from ZERO. Distance is always “positive.” -5 -4 -3 -2 negative -1 0 zero 1 2 3 4 positive 5 BLUFF! Homework Text p. 25, #42-50 all, #54-64 all, but not 60 Quiz Sections 1.3-1.4 Wednesday