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### Understanding Integers and Absolute Values: Ordering and Evaluating Situations ###

This lesson focuses on recognizing and ordering integers, as well as evaluating absolute values. Integers include positive and negative whole numbers, and zero. We will explore various scenarios to represent integers, like gains, losses, withdrawals, and more. The comparison of integers will help understand their relationships using symbols such as < and >. Interactive exercises will engage students in ordering integers from smallest to greatest and vice versa, while also introducing the concept of absolute value as the distance from zero on the number line. ###

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### Understanding Integers and Absolute Values: Ordering and Evaluating Situations ###

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  1. Objective - To recognize and order integers and to evaluate absolute values. Integers - The set of positive whole numbers, negative whole numbers, and zero. {…-3, -2, -1, 0, 1, 2, 3…} -5 -4 -3 -2 -1 0 1 2 3 4 5 Negative Integers Positive Integers Origin

  2. State an integer that represents the given situation. 1) A gain of 5 yards 5) A profit of $38 +5 +38 2) A loss of 20 gallons 6) A withdrawal of $12 -20 -12 3) A deposit of $342 7) 2 hours before lunch +342 -2 4) A penalty of 20 points 8) 30 above zero -20 +30

  3. Use < or > to compare. 1) -3 4 5) 5 -19 2) 0 -1 6) -3 -8 3) -10 -4 7) -9 -2 4) 6 -8 8) -10 -30 Ordering Integers -5 -4 -3 -2 -1 0 1 2 3 4 5 Smaller Larger > < > > < < > >

  4. Place the following integers in order from smallest to greatest. 1) -6, -16, -10, 61, -61 -61 , -16 , -10 , -6 , 61 2) -34, -43, 13, -31, -3 -43 , -34 , -31 , -3 , 13 3) -5, -9, 9, 15, -59 -59 , -9 , -5 , 9 , 15

  5. Write the following integers in order from greatest to least. 1) -3, 17, 5, -2, 0, 4 17 , 5 , 4 , 0 , -2 , -3 2) -8, -7, 15, -15, -1, 3 15 , 3 , -1 , -7 , -8 , -15 3) 40, -4, -400, 4, 14, -41 40 , 14 , 4 , -4 , -41 , -400

  6. 4 3 Simplify. 1) 3) 5) 2) 4) 6) Absolute Value Absolute Value - The distance a given number is from zero on the number line. -5 -4 -3 -2 -1 0 1 2 3 4 5

  7. Integer Opposite Absolute Value

  8. Use < , >,or = to compare. > > 1) 6) < = 2) 7) < < 3) 8) < = 4) 9) > = 5) 10)

  9. Solve. 1) 3) 2) 4)

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