5.01 Integers and the number line
State the integer where the point is plotted on the following number lines:
State the number that is 6 units to the right of the plotted point:
State the number that is 7 units to the left of the plotted point:
State the number that is 6 units to the left of the plotted point:
State the number that is 7 units to the right of the plotted point:
State the number that is 9 units to the left of the plotted point:
State the number that is 7 units to the right of the plotted point:
Describe how to tell if two integers on a number line are opposites.
For each of the following number lines:
State the number that has been plotted.
State the opposite of the number that has been plotted.
Consider the integer 8.
State its opposite.
True or False: "The opposite of a number is always greater than the number itself."
State the number that is the opposite of 0.
The opposite of a number is - 16. State the original number.
State the greatest number plotted on the following number lines:
State the smallest number plotted on the following number lines:
State the greatest number in each set:
13, - 14, 2
- 7, - 17, - 12
8, - 8, 7
35, - 36, -40
State the smallest number in each set:
- 14, - 4, -21
- 7, - 24, 10
1, - 1, 5
34, - 36, -2
Arrange the following numbers in ascending order: 10, - 25, 16, - 11, 27
Arrange the following numbers in descending order: 3, - 13, 11, - 9, 15
For each pair of temperatures, state the higher temperature:
- 19 \degree \text{C} or 4 \degree \text{C}
-3\degree \text{C} or - 17\degree \text{C}
For each pair of temperatures, state the lower temperature:
- 15\degree \text{ C} or - 3\degree \text{ C}
- 10\degree \text{ C} or 1\degree \text{ C}
Write an inequality that compares the two integers plotted on the following number lines:
For each of the following inequalities:
Write the inequality in words.
State if the inequality is true or false.
- 7 \lt - 2
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:
7 \, ⬚ \, - 4
- 9 \, ⬚ \, 9
0 \, ⬚ \, - 8
- 2 \, ⬚ \, - 5
39 \, ⬚ \, - 72
-12 \, ⬚ \, -14
-45 \, ⬚ \, 22
-1 \, ⬚ \, - 30
Consider the following statement: "Arriving 14 minutes late."
State the opposite of "Arriving 14 minutes late".
Suppose "Arriving 14 minutes late" is represented by the number 14. State the integer that should represent its opposite.
Consider the following statement: "Cycling 8\text{ km} due south."
State the opposite of "Cycling 8\text{ km} due south".
Suppose "Cycling 8 \text{ km} due south" is represented by the number 8. State the integer that should represent its opposite.
A gain of \$400 can be represented by the integer 400.
State whether the following would represent the opposite of this situation:
Gaining another \$400.
Losing \$400.
Losing \$800.
State the integer that represents your answer in part (a).
State the integer that represents the opposite of the following:
The statement "Descending 2 floors" is represented by the number - 2.
The statement "A weight gain of 11 \text{ kg}" is represented by the number 11.
A temperature of 10 degrees below freezing is represented by the integer - 10.
A temperature drop of 14 \degree \text{C} can be represented by the integer - 14.
State an integer that represents the opposite of a temperature drop of 14 \degree \text{C}.
State an integer that represents the opposite of the opposite of a temperature drop of 14\degree \text{C}.
A mountain peak is measured to have a height of 5100 \text{ m} above sea level. An ocean trench is found that is the same distance below sea level.
If the height above sea level of the mountain peak is represented by the number 5100, state the integer that represents the location of the trench.
In this scenario, state what the integer 0 represents.
For each of the following scenarios, write down an inequality that compares the two quantities:
Yuri has \$8 in savings. Kenneth has \$13 saved.
Christa's account balance is - \$10. Ray's account balance is - \$17.
Elizabeth and Roxanne both buy some tickets in the raffle at the local fete. After counting up their winnings, Elizabeth has made \$86, but Roxanne has lost \$146.
Paul has read 27 books this year. His sister Eileen has read 17 books.
Quiana has made \$78.79 this week in her part time job, and has spent \$35.33 on food in that time.
The melting point of krypton is - 157 \degree \text{C}. The melting point of radon is - 71 \degree \text{C}.