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Pre-Algebra

Integers and Absolute Value. Pre-Algebra. What Are You Learning?. I CAN find the absolute value of rational numbers. I CAN use integers to represent various situations. I CAN compare integers. Why Do I Need To Know This?.

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Pre-Algebra

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  1. Integers and Absolute Value Pre-Algebra

  2. What Are You Learning? • I CAN find the absolute value of rational numbers. • I CAN use integers to represent various situations. • I CAN compare integers.

  3. Why Do I Need To Know This? • Using rational numbers to represent situations is important because it allows you to use rational numbers to symbolize real world events and situations.

  4. Vocabulary • Rational Numbers are numbers that can be written as fractions, including terminating and repeating decimals, and integers. • 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?

  5. Notes • Zero is neither positive or negative. • Zero does NOT have an opposite.

  6. Write an integer for each situation. • The average temperature in Tennessee for May was 5 degrees below normal. • The average rainfall in Virginia for November was 5 inches above normal. • 6°F below 0 • A loss of 11 yards • A deposit of $16 • The price of a company’s stock fell 21 points in two days. Write an integer to represent the amount the stock price fell.

  7. Write an integer that represents a loss of $20 • │-20│ • -20 • │20│ • 20

  8. Write an integer for each situation. • The temperature of the liquid is 4 degrees below zero. • Seawater freezes 2 degrees below zero. • 12 degrees above Celsius. • A debt of $5. • 23 feet above the surface.

  9. Vocabulary Absolute Value—the distance the number is from zero on a number line.

  10. Find the absolute value. • |-3| • |3| • |-10| • |-5| • |5| • |-12| • |1.9| • |-5/6| • |-6.5| • |2.5| • |5 5/8|

  11. Find the absolute value • |6| • |-6| • |-4| • |-5| • |-5| - |2| • |-4| - |-3|

  12. Evaluate │7 │ + │-3 │ • 10 • 4 • -4 • -10

  13. Evaluate │3│ - │-2│ • -1 • -5 • 5 • 1

  14. Determine whether each statement is true or false. If false, give a counterexample. • Every integer has an absolute value. • The absolute value of every integer is positive.

  15. Complete each sentence with a word that makes it true. • An integer is negative, positive, or ____. • All _____ integers are less than zero. • The opposite of a _______ number is negative. • The absolute value of an integer is never ________.

  16. To graph a point on a number line, draw a point on the line at its location. • When 2 numbers are graphed on a number line, the number to the left is always less than the number to the right. • The number to the right is always greater than the number to the left. • > greater than < less than

  17. Use < or > to make each statement true. • -5 -3 • -8 -4 • 5 -1 • -10 -13 • -9 -5

  18. Use < or > to make the statement true.-3 □ 5 • > • < • = • +

  19. Class Work

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