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Unit 3a/b RETAKE: Rational Numbers 25-26

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Last updated 5 months ago
10 questions
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Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

The bottom of the ocean is 4.5 feet below the surface of the water. The surface of the water is represented by the 0. A bird flying in the sky is the same distance above the surface of the water as the bottom of the ocean. What number represents the location of the bird?

Question 9
9.

A submarine is exploring the ocean at 54.8 meters below the surface. An airplane is flying 45.4 meters above the surface of the water. Which craft is furthest from the surface of the water? Justify your answer using a number line or a statement of absolute value.

Question 10
10.
Colt, Kim, Matthew, Benson, and Drew all checked their bank accounts on Friday. Their bank statements and balances are listed below.

Colt: –$9.25
Kim: $3.75
Matthew: –$2.25
Benson: $5.60
Drew: –$4.50

Who has the most money? _______
Who has the most debt? _______
Justify your answer by creating an inequality statement comparing who has the most money to the individual who has the least. _______
Which of the following statements is TRUE?
1.5 > |-1.5|
|-0.009|< -1500
Each of the following phrases describes a numerical value:
  • The opposite of the absolute value of 3
  • The absolute value of the opposite of the opposite of -3
Which statement is true about the relationship between the numerical values?
The distance between the two points on a number line is 3 units.
The absolute value of the opposite of the opposite of -3 is less than the opposite of the absolute value of 3.
The distance of the absolute value of the opposite of the opposite of -3 is 6 units away from 0.
The absolute value of the opposite of the opposite of -3 is greater than the opposite of the absolute value of 3.
Carina was comparing the amount of money her friends have.
  • Pablo (P) had $1.25 and found a quarter on the ground.
  • Alex (A) has $2.25, but owes a friend $3.
  • Daniel (D) lost $5, but found a dime and 7 quarters.
Which number line best represents the changes in the amount of money each friend has?
The chart shows the lowest elevations for three caves.
Select all of the inequalities that are true based on the chart above.
-620 > -560
-560 > -180
-560 < -620
-180 > -560
-620 < -180
The chart shows the lowest elevations for four states.

If Alabama is considered sea level, which state listed in the table is closest to Alabama’s elevation?
Wyoming
Texas
New York
Tennessee
Using the same chart from #5, select two statements that are true.

Wyoming has the largest absolute value, which means it’s closest to Alabama.
Texas is not closest to sea level because its elevation is further than Tennessee’s.
The state furthest from 0 on a number line is New York because it is most negative.
The state that has the smallest absolute value is closest to sea level since sea level is zero in this scenario.
List the following in descending order.
4.7
|-1000|
-2.75
-15
-2.5