Let's solve each problem step by step. The task is to
subtract each expression and then find the
absolute value of the result.
🔹 What is Absolute Value?
The
absolute value of a number is its distance from zero on the number line, regardless of direction. So:
- $ |x| = x $ if $ x \geq 0 $
- $ |x| = -x $ if $ x < 0 $
So for any expression inside absolute value bars, we first compute the value, then take its absolute value.
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We'll go through each problem:
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1. $ |-32 - 25| = |-57| = 57 $
2. $ |-15 - 14| = |-29| = 29 $
3. $ |25 - (-12)| = |25 + 12| = |37| = 37 $
4. $ |-25 - 15| = |-40| = 40 $
5. $ |45 - (-12)| = |45 + 12| = |57| = 57 $
6. $ |-12 - 15| = |-27| = 27 $
7. $ |23 - (-19)| = |23 + 19| = |42| = 42 $
8. $ |-15 - (-25)| = |-15 + 25| = |10| = 10 $
9. $ |25 - 16| = |9| = 9 $
10. $ |-31 - (-25)| = |-31 + 25| = |-6| = 6 $
11. $ |40 - (-55)| = |40 + 55| = |95| = 95 $
12. $ |23 - 49| = |-26| = 26 $
13. $ |-10 - (-52)| = |-10 + 52| = |42| = 42 $
14. $ |-23 - 49| = |-72| = 72 $
15. $ |15 - (-58)| = |15 + 58| = |73| = 73 $
16. $ |-68 - (-35)| = |-68 + 35| = |-33| = 33 $
17. $ |23 - (-22)| = |23 + 22| = |45| = 45 $
18. $ |45 - (-52)| = |45 + 52| = |97| = 97 $
19. $ |125 - 105| = |20| = 20 $
20. $ |125 - (-15)| = |125 + 15| = |140| = 140 $
21. $ |-98 - 49| = |-147| = 147 $
22. $ |-55 - 45| = |-100| = 100 $
23. $ |49 - (-22)| = |49 + 22| = |71| = 71 $
24. $ |125 - (-25)| = |125 + 25| = |150| = 150 $
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✔ Final Answers:
1. 57
2. 29
3. 37
4. 40
5. 57
6. 27
7. 42
8. 10
9. 9
10. 6
11. 95
12. 26
13. 42
14. 72
15. 73
16. 33
17. 45
18. 97
19. 20
20. 140
21. 147
22. 100
23. 71
24. 150
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Let me know if you'd like this in a printable format or need explanations for specific problems!
Parent Tip: Review the logic above to help your child master the concept of absolute value practice worksheet.