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Introduction to Absolute Value

Learn how to calculate and interpret absolute values, and apply them to real-world scenarios such as temperature, distance, and numbers. Practice problems and examples included.

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Introduction to Absolute Value

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  1. Warm Up Simplify the Following: 1. -17 + 9 2. -12(-9) 3. 4 + (-4) -3 4. 8 – (-3) Compare the two Integers: 5. -7 ___ -8 • Answers • - 8 • 108 • - 3 • 11 • >

  2. Math Year 1 Standard 1.1.3 Lesson 1.4 Absolute Value

  3. What is Absolute Value? The absolute value of x is the distance x is from zero. The absolute value of x is written as ___________

  4. Distance, and Absolute Value, and Word Problems…oh my! • We see absolute value in the following “real world” applications: • Submarines/Sea Level • Temperature • Distance/Height • Numbers • Travel

  5. 0 So How is Absolute Value Calculated? -6 6 Since absolute value is the distance from zero, absolute value will always be positive. Let’s look at a number line! *The absolute value of 6 would be 6 because it is six units from zero. *The absolute value of -6 would be 6 because it is six units from zero.

  6. Practice…

  7. Connecting distance and absolute value The distance between two numbers is the absolute value of their difference . On a number line plot -3 and 9. Find the distance between them. Now find the difference of -3 and 9 and take the absolute value of that answer. What did you notice?

  8. More Practice! What is the distance between 14 and -20? Find the distance between -17 and -13. Calculate the distance between 9 and 29.

  9. Applications • What is the change in temperature from 20 degrees to 63 degrees? • What is the change in temperature from a chilly -12 degrees outside and a warm 82 degrees inside? • A submarine is 47.8 meters below sea level. They are sending a signal to a tower 112 meters above sea level. What is the vertical distance the signal must travel?

  10. Last One! An Olympic diver completed the following dives.

  11. Summary:Write two things about absolute value Homework:Lesson 1.4 Worksheet

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