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Absolute value math worksheet with 20 problems for practice.

Worksheet titled "Absolute Values" with 20 math problems asking to find the value of each expression involving absolute values.

Worksheet titled "Absolute Values" with 20 math problems asking to find the value of each expression involving absolute values.

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Show Answer Key & Explanations Step-by-step solution for: Absolute Value Worksheets - 15 Worksheets Library
To find the value of each expression, we need to understand absolute value. The absolute value of a number is its distance from zero on a number line. Distance is always positive (or zero).

Here are the rules we will use:
1. Inside the bars: If there is just a number inside $| |$, make it positive. For example, $|-5| = 5$ and $|5| = 5$.
2. Negative sign outside: If there is a minus sign $-$ in front of the bars, solve the absolute value first, then apply the negative sign at the very end. For example, $-|5| = -5$.

Let's solve them step-by-step:

Left Column:

1. $| 10 |$: The absolute value of 10 is 10.
2. $| -325 |$: The absolute value makes the negative number positive. Answer is 325.
3. $- | 25 |$: First find $|25|$, which is 25. Then apply the negative sign outside. Answer is -25.
4. $- | -45 |$: First find $|-45|$, which is 45. Then apply the negative sign outside. Answer is -45.
5. $| 125 |$: The absolute value of 125 is 125.
6. $- | -247 |$: First find $|-247|$, which is 247. Then apply the negative sign outside. Answer is -247.
7. $| 23.25 |$: The absolute value of a positive decimal is just the number itself. Answer is 23.25.
8. $| -69.252 |$: Make the negative decimal positive. Answer is 69.252.
9. $- | 214 |$: First find $|214|$, which is 214. Apply the negative sign. Answer is -214.
10. $- | 3245 |$: First find $|3245|$, which is 3245. Apply the negative sign. Answer is -3245.

Right Column:

11. $| 25.005 |$: The absolute value of a positive decimal is the number itself. Answer is 25.005.
12. $| 365.23 |$: The absolute value is 365.23.
13. $- | 3.366 |$: First find $|3.366|$, which is 3.366. Apply the negative sign. Answer is -3.366.
14. $| 125.28 |$: The absolute value is 125.28.
15. $| -3254 |$: Make the negative number positive. Answer is 3254.
16. $| -123.25 |$: Make the negative decimal positive. Answer is 123.25.
17. $- | -365 |$: First find $|-365|$, which is 365. Apply the negative sign. Answer is -365.
18. $| -1.247 |$: Make the negative decimal positive. Answer is 1.247.
19. $| 2354.5 |$: The absolute value is 2354.5.
20. $| -1478 |$: Make the negative number positive. Answer is 1478.

Final Answer:
1. 10
2. 325
3. -25
4. -45
5. 125
6. -247
7. 23.25
8. 69.252
9. -214
10. -3245
11. 25.005
12. 365.23
13. -3.366
14. 125.28
15. 3254
16. 123.25
17. -365
18. 1.247
19. 2354.5
20. 1478
Parent Tip: Review the logic above to help your child master the concept of absolute value worksheet.
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