Lesson 3
Ordering Rational Numbers
Problem 1
Select all of the numbers that are greater than \(\text-5\).
1.3
\(\text-6\)
\(\text-12\)
\(\frac{1}{7}\)
\(\text-1\)
\(\text-4\)
Solution
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Problem 2
The table shows five states and the lowest point in each state.
Put the states in order by their lowest elevation, from least to greatest.
state | lowest elevation (feet) |
---|---|
California | -282 |
Colorado | 3350 |
Louisiana | -8 |
New Mexico | 2842 |
Wyoming | 3099 |
Solution
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Problem 3
Here are the boiling points of certain elements in degrees Celsius:
- Argon: -185.8
- Chlorine: -34
- Fluorine: -188.1
- Hydrogen: -252.87
- Krypton: -153.2
List the elements from least to greatest boiling points.
Solution
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Problem 4
Decide which of the following quantities can be represented by a positive number and which can be represented by a negative number. Give an example of a quantity with the opposite sign in the same situation.
- Tyler’s puppy gained 5 pounds.
- The aquarium leaked 2 gallons of water.
- Andre received a gift of $10.
- Kiran gave a gift of $10.
- A climber descended 550 feet.
Solution
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Problem 5
-
On the number line, label the points that are 4 units away from 0.
-
If you fold the number line so that a vertical crease goes through 0, the points you label would match up. Explain why this happens.
-
On the number line, label the points that are \(\frac52\) units from 0. What is the distance between these points?
Solution
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(From Unit 7, Lesson 1.)