1. |–3| = –3 is 3 units from 0, so |–3| =. 3 is 3 units from 0, so | 3| =. Therefore 3 has exactly two absolute values: _____ and _____ –5 –4 –3 –2 – Find the distance from zero. 2. |3| = What do you notice about the mid-point of opposites?

How would you represent the combining of opposites? Use the number line to model what happens when you combine an integer to its opposite. Note: Two numbers that have the sum of zero are _____________________ inverses.

NS.7.a Comparing and Ordering Integers Integers & Absolute Value integer, opposite, absolute value, perfect square roots = integers LO: I will evaluate absolute value & opposites using number lines. Absolute value of a number is: An integer’s |absolute value| is its ______________ from 0 on a number line. I.The distance, how many units, from _________. II.“The absolute value of –4” is written as | |. III.Opposites (4 and ___) have the same absolute value, 4.

Distances on the Number Line On the number line above, the numbers a and b are the same distance from 0. What is a + b ? Explain how you know. When might evaluating absolute values be of use as a consumer?

Activity: Absolute Value War Card game similar to the playing card game War. Only difference is that the red playing cards are │positive integers│, black cards are │negative integers│. Absolute Value War Rules Deal out cards evenly. All players simultaneously turn over a card and the greatest absolute value wins all the cards tuned up. If two or more players tie for highest there is a war - everyone plays their next card face-down and then turns up a third card. This continues until one of the face-up cards is greater than all the others, and then that player wins all the cards in a war. Note that all players take part in a war, not only the ones who had the highest cards. The game goes on until when the teacher calls time. The winner is the player with the greatest absolute value sum. If you were to play this game again, what rule modifications would you make?

LO: I will evaluate absolute value & opposites using Order of Operations. Before: (Please) E ˣcuse My ● ÷ Dear Aunt ±Sally Now:

Comparing Freezing Points 1. Ocean water freezes at about −1.9∘C. Fresh water freezes at 0∘C. Antifreeze, a liquid used in the radiators of cars, freezes at −37∘C. 2. Imagine that the temperature has dropped to the freezing point for ocean water. How many degrees more must the temperature drop for the antifreeze to turn solid? Explain.

Evaluating Absolute Value Expressions 3. |17 – 6| Tip: 1 st Evaluate the problems inside the Grouping sign ⃒ absolute values bars ⃒. THEN remove the bars and simplify. 4. |5 + 1| + |8 – 6| 5. |–8| + |–5| 6. -|17 – 6|7. -|5 + 1| + |8 – 6|8. -|–8| + |–5| Negative sign outside of the absolute value bar? Yes! Evaluate using GEMDAS, THEN simplify. Integers and absolute value real-world applications. 9. Initial sales price of $85 Wholesale product cost of $53 profit = | $85 – $53 | The total net profit earned would be _________.

HW 1.3 RMp3 & p16 # even, 22, Amelia has been flying her airplane all day fighting wildfires in Death Valley. She fuels up near Badwater, which is 282 feet below sea level, and is working to contain a brush fire on top of Telescope Peak that has an elevation of 11,049 feet. Use integers to represent the elevation, to the nearest hundred foot, of each Death Valley location. 13. Use absolute value to calculate the change of elevation between Badwater and Telescope Peak. 10. On Monday the average temperature was -10 ̊ F. On Tuesday it was -15 ̊ F. On Wednesday it was -13 ̊ F. Thursday it was -1 ̊ F. Write the temperatures as an inequality of coldest to warmest. 11. Use absolute value to calculate the temperature range. | warmest | + | coldest | = temperature ____________