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.