Download 1.2 HW—Extending the Number Line Name: Period:___ 11. Order

1.2 HW—Extending the Number Line
Name: _____________________________ Period:___
11. Order the numbers from least to greatest.
4
23.6 - 45.2 50 -0.5 0.3
− 5
Insert <, >, or = to make each a true statement.
12. 3____0
13. -23.4____23.4
14. 46____-79
15. -75____-90
16. -300____100
17. -1,000____-999
18. -1.73____-1.730
19. - 4.3 ____ - 4.03
20. a. Estimate values for points A-E.
b. Graph the following numbers on the number line above. -9
10.5
c. Describe the location of a number and its opposite on the number line.
1
2
−
5
2
21. For each pair of numbers, identify which number is farther from +1, Explain your reasoning.
a. -7 or +3
b. -10 or +7
22. Identify the temperature that is halfway between each pair of temperatures.
a. -23˚F and +23˚F
b. -20˚F and +10˚F
c. +20˚F and -10˚F
For Exercises 23-30, graph each statement on a number line.
23. x is less than 7.
24. X is greater than or equal to -7
25. x < -2
26. x ≥ -1
27. x ≤ 8
28. x < 5
29. -3 < x < 5
30. x > -6
For Exercises 31-34, write an inequality for each set of numbers on the number line.
31.
32.
33.
34.
35. The school cafeteria can hold at most 150 people.
a. Write a number sentence to represent the number of people that can be in the cafeteria at any time
during the day.
b. Graph your answer to part (a) on a number line
For Exercises 59-64, name the two numbers described.
59. two fractions between 0 and 1
60. two fractions between 2 and 3
61. two fractions between -1 and 0
62. two decimals between -3 and -2
63. two decimals between 4 and 5
64. two decimals between -4 and -3
69. Label the first tick mark -7.7 and the last tick mark -7.6. Label the appropriate tick mark for
-7.65. Then label the remaining tick marks.
For Exercises 72-75, Order the numbers from least to greatest.
2
72. 5,
3
,
10
5
9
9
25
,
4
74. 1.52, 1 7, 2,
73. 20.33, 2.505, 23.30, 23
9
6
75. 3,
19
6
8
, 2 9, 2.95
1.2 HW—Extending the Number Line
Name: _____________________________ Period:___
For Exercises 79-84, find all the values of x that satisfy the statement. Then sketch the solution on a
number line.
79. x + 2 is negative.
80. x – 5 is greater than 0.
81. x + 3 < 1
82. x + 3 ≥ 2
83. 3 – x < 0
84. 6 ≤ x – 4
For Exercises 85-87, find the missing temperature in each situation.
85. On Monday, the high temperature was 20˚C. The low temperature was -15˚C. What
temperature is halfway between the high and the low?
86. On Tuesday, the low temperature was -8˚C. The temperature halfway between the high and
The low is 5˚C. What was the high temperature?
87. On Wednesday, the high temperature was -10˚C. The low temperature was -15˚C. What
temperature is halfway between the high and the low?