Let's match the absolute value expressions to their correct distances from zero on the number line.
1. Expression: [tex]\( |-7.1| \)[/tex]
- The absolute value of -7.1 is 7.1.
- Therefore, the distance from 0 on the number line is 7.1.
2. Expression: [tex]\( |2.7 + 4.2| \)[/tex]
- First, calculate [tex]\(2.7 + 4.2 = 6.9\)[/tex].
- The absolute value of 6.9 is 6.9.
- Therefore, the distance from 0 on the number line is 6.9.
3. Expression: [tex]\( |4 - 9| \)[/tex]
- First, calculate [tex]\(4 - 9 = -5\)[/tex].
- The absolute value of -5 is 5.
- Therefore, the distance from 0 on the number line is 5.
4. Expression: [tex]\( |-3.1 + 8.8| \)[/tex]
- First, calculate [tex]\(-3.1 + 8.8 = 5.7\)[/tex].
- The absolute value of 5.7 is 5.7.
- Therefore, the distance from 0 on the number line is 5.7.
Now, let's put them together:
- [tex]\( |-7.1| \)[/tex] → Distance from 0 on number line: 7.1
- [tex]\( |2.7 + 4.2| \)[/tex] → Distance from 0 on number line: 6.9
- [tex]\( |4 - 9| \)[/tex] → Distance from 0 on number line: 5
- [tex]\( |-3.1 + 8.8| \)[/tex] → Distance from 0 on number line: 5.7
So the final matched answers are:
- 7.1
- 6.9
- 5
- 5.7
