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Math Integers and Absolute Value 1 What Are You Learning? I CAN find the absolute value of integers. I CAN use integers to represent various situations. 2 Why Do I Need To Know This? Using integers to represent situations is important because it allows you to use integers to symbolize real world events and situations. 3 Vocabulary Integers are whole numbers and their opposites. Negative integers are integers less than zero. Positive integers are integers greater than zero. Where might you find integers in the real world? 4 Write an integer for each situation. a. b. The average temperature in Tennessee for May was 5 degrees below normal. The average rainfall in Virginia for November was 5 inches above normal. c. 6°F below 0 d. A loss of 11 yards e. A deposit of $16 f. The price of a company’s stock fell 21 points in two days. Write an integer to represent the amount the stock price fell. 5 Write an integer that represents 8° below 0. -8 8 │-8│ │8│ 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 6 Write an integer for each situation. a. The temperature of the liquid is 4 degrees below zero. b. Seawater freezes 2 degrees below zero. c. 12 degrees below Celsius. d. A debt of $5. e. A dive of 23 feet below the surface. 7 Vocabulary Absolute Value—the distance the number is from zero on a number line. 8 Find the absolute value. a. b. c. d. e. f. |-3| |3| |-10| |-5| |5| |-12| 9 Evaluate │-7│ 7 -│-7│ 14 -7 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 10 Find the absolute value a. b. c. d. e. f. |6| |-6| |-4| |-5| |-5| - |2| |-4| - |-3| 11 Evaluate │5 │+ │-2 │ 25% 25% 25% 25% -7 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 7 3. -3 2. 3 -7 -3 3 7 1. 17 18 19 20 12 Determine whether each statement is true or false. If false, give a counterexample. a. b. Every integer has an absolute value. The absolute value of every integer is positive. 13 Complete each sentence with a word that makes it true. a. An integer is negative, positive, or ____? b. All _____ integers are less than zero. c. d. The opposite of a _______ number is negative. The absolute value of an integer is never ________. 14 Class Work 15