1.09 Comparing and ordering integers
State the greatest number plotted on the following number line:
State the smallest number plotted on the following number line:
For each of the following pairs of numbers:
Plot the numbers on a number line.
State which number is larger.
4 and 8
17 and 3
2 and -7
-4 and -9
For each of the following pairs of numbers:
Plot the numbers on a number line.
State which number is smaller.
3 and 6
7 and 16
-8 and 5
-1 and -3
State the greatest number in each set:
13, - 14, 2
- 7, - 17, - 12
8, - 8, 7
35, - 36, -40
-99, -87, -71
State the smallest number in each set:
- 14, - 4, -21
- 7, - 24, 10
1, - 1, 5
34, - 36, -2
-12, - 21, -2
-23, - 2, 13
-9, 21, -2
16, 25, -27
Arrange the following numbers in ascending order: 11, \, -25, \, 19, \, -15, \, 28
Arrange the following numbers in descending order: 2, \, -11, \, 7, \, -4, \, 18
For each pair of temperatures, state the greater temperature:
- 12 \degree \text{C} or 4 \degree \text{C}
- 16 \degree \text{C} or -7 \degree \text{C}
3 \degree \text{C} or -14 \degree \text{C}
9 \degree \text{C} and 19 \degree \text{C}
-87 \degree \text{F} or 66 \degree \text{F}
-5 \degree \text{F} or -11 \degree \text{F}
55 \degree \text{F} or 61 \degree \text{F}
42 \degree \text{F} or -39 \degree \text{F}
For each pair of temperatures, state the lower temperature:
- 15\degree \text{C} or - 7\degree \text{C}
- 10\degree \text{C} or 1\degree \text{C}
19\degree \text{C} or -20\degree \text{C}
5\degree \text{C} or 16\degree \text{C}
40\degree \text{F} or -55\degree \text{F}
- 2\degree \text{F} or -18\degree \text{F}
91\degree \text{F} or 85\degree \text{F}
-75\degree \text{F} or 67\degree \text{F}
Write an inequality that compares the two integers plotted on the following number lines:
State whether the following statements are true or false:
14 \leq - 2
- 2 \geq 14
14 \gt - 2
- 2 \gt 14
-9 \gt 11
11 \gt -9
-9 \geq 11
-9 \leq 11
For each of the following pairs of numbers:
Plot the pair of numbers on a number line.
Identify the inequality sign, \lt or \gt, that should appear between each pair to make the statement true.
3 \, ⬚ \, 7
15 \, ⬚ \, 4
4 \, ⬚ \, -7
- 3 \, ⬚ \, - 9
For each of the following inequalities:
Write the inequality in words.
State whether the inequality is true or false.
- 8 \lt - 4
7 \gt - 5
0 \gt - 1
23 \lt -47
Identify the inequality sign, \lt or \gt, that should appear between each pair of numbers to make each statement true:
9 \, ⬚ \, - 2
- 6 \, ⬚ \, 6
0 \, ⬚ \, - 6
- 7 \, ⬚ \, - 8
32 \, ⬚ \, - 40
- 29 \, ⬚ \, - 74
-45 \, ⬚ \, 22
-1 \, ⬚ \, - 30
Complete the following patterns:
5, \, 3, \, 1, \, ⬚, \, ⬚, \, ⬚
-12, \, -10, \, -8, \, ⬚, \, ⬚, \, ⬚
-11, \, -6, \, -1, \, ⬚, \, ⬚, \, ⬚
7, \, 9, \, 11, \, ⬚, \, ⬚, \, ⬚
25, \, 22, \, 19, \, ⬚, \, ⬚, \, ⬚
-6, \, -10, \, -14, \, ⬚, \, ⬚, \, ⬚
31, \, 25, \, 19, \, ⬚, \, ⬚, \, ⬚
-15, \, -8, \, -1, \, ⬚, \, ⬚, \, ⬚
For each of the following scenarios, write an inequality that compares the two quantities:
Neville has \$8 in savings. Iain has \$14 saved.
Ray's account balance is - \$10. Mohamad's account balance is - \$13.
Jenny has made \$74 selling ice creams. Irene has made \$119 selling lemonade.
Uther has read 33 books this year. His sister Patricia has read 12 books.
Tobias has 778 songs on his cell phone. Marge has 525 songs on her tablet.
Honolulu has a temperature of 98 \degree \text{F} and Ottawa has a temperature of 38 \degree \text{F}.
The melting point of helium is - 458 \degree \text{F}. The melting point of xenon is - 169 \degree \text{F}.
Charlie has made \$38.92 this week from his part time job. Quiana has made \$80.37 from her online craft store.