Mathematics presentation about Absolute Value.pptx

Lesson in mathematics about absolute value specifically for grade 7 learners. Absolute value refers to the non-negative value of a number without regard to its sign. It represents the distance of a number from zero on the number line. For example, the absolute value of both -5 and 5 is 5, as both are five units away from zero. Mathematically, the absolute value of a number
𝑥
x is denoted as
∣
𝑥
∣
∣x∣ and is defined as
𝑥
x if
𝑥
x is positive or zero, and 𝑥 x if 𝑥
x is negative. Absolute value is widely used in mathematics to measure distances and to solve equations and inequalities involving distances.

1. Shahanie A. Dulnuan Absolute Value

2. OBJECTIVES Illustrate the absolute value of a number on a number line as the distance of a number from 0. b. Find the absolute value of a number c. Appreciate the value of distance in real life situation

3. Thus, the absolute value of any number is a nonnegative number. For any number n ,

4. A. Give an integer which is the simplest value for the expression. 1. |-3| = 2. |3| = 3. - |-2| = 4. -|5| = 5. |-9| = TRY IT B. Determine whether each statement i s true or false . Justify your answer. ______1. 3 = |-3| ______2. 8 > |-8| ______3. - |-2| < 0 ______4. |5| ≤ - |-8| ______5. |9| ≥ -|9|

5. A. Give an integer which is the simplest value for the expression. 1. |-3| = 3 2. |3| = 3 3. - |-2| = -2 4. -|5| = -5 5. |-9| = 9 ANSWER

6. Determine whether each statement is true or false . Justify your answer. ______1. 3 = |-3| ______2. 8 > |-8| ______3. - |-2| < 0 ______4. |5| ≤ - |-8| ______5. |9| ≥ -|9| ANSWER

7. B. Determine whether each statement is true or false . Justify your answer. ______1. 3 = |-3| ______2. 8 > |-8| ______3. - |-2| < 0 ______4. |5| ≤ - |-8| ______5. |9| ≥ -|9| TRY IT TRUE TRUE FALSE TRUE FALSE

8. The bicycle joyride of James and Daniel James and Daniel were at Enrique’s house. James rode his bicycle 3 miles west of Enrique’s house, and Daniel rode his bicycle 4 miles east of Enrique’s house. Who travelled greater distance from Enrique’s house Daniel or James? Solve the problem

9. Solve the problem Give an integer which is the simplest value for the expression. 1. │24+5│= _____ 2. -│36-26│= _____ 3. │-8 +5 │= _____ 4. -│-6-6│= _____ 5. - │10-15│ = ____

10. Solve the problem Determine whether each statement is true or false. ______1. 5 = |-5| ______2. 16 > |-16| ______3. |-10| < |-11 + 1| ______4. -|-2| < 0 ______5. |5| ≤ -|-8|

11. Solve the problem Fill in the blanks with > , < , or = to make the statements true. 1. |-6| ___ |6| 2. -45 ___ - |-56| 3. |18 – 12| ____ |-10| 4. - |24 – 30| ___ -|30 – 24| 5. 2 + |-4| ____ 10

12. Solve the problem Fill in the blanks with >, <, or = to make the statements true. 1. |-6| ___ |6| 2. -45 ___ - |-56| 3. |18 – 12| ____ |-10| 4. - |24 – 30| ___ -|30 – 24| 5. 2 + |-4| ____ 10 = > < = <

13. Critical Thinking Find the possible values of x to make the inequality true. 5 < |x| < 10 2. -7≤|x|≤0

14. ABSOLUTE VALUE - Always be positive - Think positive