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# Absolute Value of a Number

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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.

For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE! 
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Reference:
Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.

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### Absolute Value of a Number

1. 1. Grade 7 – Mathematics Quarter I ABSOLUTE VALUE OF A NUMBER
2. 2. •describe and illustrate the absolute value of a number on the number line as the distance of a number from zero.
3. 3. “What’s the OPPOSITE?” 1. 3 2. -4 3. -10 4. 8 5. -12 6. 100 4 10 -8 12 -100 -3 OPPOSITE -“additive inverse”
4. 4. NUMBER LINE 0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1 opposites -1 is the opposite of 1 4 is the opposite of -4 -7 is the opposite of 7
5. 5. ABSOLUTE VALUE - The absolute value of a number is the distance between that number and zero. - It is denoted by (| |) two bars. Example: |2| = 2 “the absolute value of 2 is 2” |-2| = 2 “the absolute value of -2 is 2” -|2| = -2 “the negative absolute value of 2 is -2”
6. 6. ABSOLUTE VALUE 0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1 What is the distance of 4 from zero? What is the distance of -4 from zero? opposites 4 4 |4| = 4 |-4| = 4
7. 7. ABSOLUTE VALUE What is the distance of 4 from zero? What is the distance of -4 from zero? 4 4 |4| = 4 |-4| = 4 Remember: The absolute value of a number is the distance between that number and zero. It is NEVER negative.
8. 8. ABSOLUTE VALUE |4| = |-4| = -|-4| = -|4| = 4 4 - 4 - 4 |x| = 2 |x| = 3 |x|=15 |x| ≤ 2 x = 2 and -2 3 and -3 15 and -15 -2,-1,0,1 and 2 x ≥ -2 and x ≤ 2
9. 9. ABSOLUTE VALUE |4 + 2| = 6 8 7 4 |6| = |10 - 2| = |8| = |-9|-|2| = 9 - 2 = |2+3|-|4 - 3| = 5 - 1 = 1|7 - 4|-|5 - 3| = 3 - 2 =
10. 10. Compare using <, > or =. |2| ______ -|2|> |10 - 2| ______ |6 + 2|= -|5 - 2| ______ -|1 + 1|< |8 - 3| ______ |6 - 1|=
11. 11. Test Yourself. I. 1. |3| = 2. |-10| = 3. |-14| = 4. |9|= 5. |-7| = 6. -|3| = 7. |-24| = 8. -|-11| = 9. |0|= 10. -|-6| =
12. 12. Test Yourself. II. Compare using < , > or =. 1. |5| ______ -|5| 2. -|9 - 2| ______ |6 + 1| 3. -|4 - 2| ______ -|2 + 1| 4. -|10 - 3| ______ -|6 + 1|
13. 13. Answer Key II.I. 1. 3 7. 24 2 10 8. -11 3. 14 9. 0 4. 9 10. -6 5. 7 6. -3 1. > 2. < 3. > 4. =