the Results
1. Suppose Marcus built a hill 0.3 meter high. Would you graph the number to the left or right of zero? Explain.
2. Choose a decimal amount less than zero. Would it be graphed to the right or left of Silvio’s ditch? Explain.
3. Compare and contrast graphing positive and negative decimals on a number line.
You can also use models to graph rational numbers.
Graph - 3 _ 4 on a number line.
Model -
3 _ 4 using fraction tiles. Draw a number 1
414
14
14
-1 0 line from -1 to 0. Place the fraction tiles above the number line starting at zero.
Each fraction tile represents one fourth. Label 14
14
14
14
-1 0-
34
-
24
-
14
the number line with -
1 _ 4 , -
2 _ 4 , and -
3 _ 4 .
Remove the fraction tiles. Draw a dot at -
3 _ 4 .
-1 0-
34
-
24
-
14
and Apply
Graph each number on a number line. Use models if necessary.
4. -
4 _
5 5. -
1 _
4 6. -0.1 7. -4.5 8. 2
_ 3
9. 8.75 10. -
3 _
8 11. -5.75 12. 7
_ 10
13. -2.4
the Results
14. REASONING Jaclyn thinks that -
1 _
2 is greater than 1 _
4 because it is farther
from zero on the number line. Is her thinking correct? Explain.
15. Explain how you can use the number line to identify
fractions between -
3 _
4 and 3 _
4 . Then identify two fractions that are greater
than -
3 _
4 and less than 3 _
4 .
16. MAKE A CONJECTURE Write a rule that you can use to compare positive and negative values without a number line.
