Vocabulary
Integer Situations
Absolute Value
Opposites
Ordering Integers
100

An integer greater than zero is?


Positive

100

Write the integer: 

20 feet above sea level

+20

100

Compare the absolute values of −6 and 4. Which one is greater, and how can you tell from a number line?

-6 has a greater absolute value. It is farthest away from 0.

100

What is the opposite of 5? Explain why. 

  • Answer: The opposite of 5 is −5.
  • Explanation: The opposite of a positive integer is its negative counterpart. It represents the same distance from zero on the number line but in the opposite direction.
100

List from LEAST ----> GREATEST:

{ -23,  34,  0,  11,  -15 }

-23,   -15,   0,    11,    34

200

An integer less than zero is?


Negative

200

Write the integer: 

Sale of a boat for $1000

+$1000

200

A student says that −8 has a greater absolute value than 5 because it is “more negative.” Is the student correct? Use a number line explanation to support your answer.

Yes, the student is correct.

-8 is farthest from 0, not because it is more negative.

200

What is the opposite of −12? Explain why.

  • Answer: The opposite of −12 is 12.
  • Explanation: The opposite of a negative integer is its positive counterpart. This shows that −12 is 12 units below zero, while 12 is 12 units above zero.
200

List the integers from LEAST ----> GREATEST:

{ 10,  -6,  -2,  4,  -4 }

-6,   -4,   -2,   4,    10

300

What are "numbers that are the same distance from zero in different directions?"


Opposites

300

Maria is climbing a mountain. She starts at an elevation of 250 meters above sea level. After climbing, she reaches an elevation of 1200 meters. How far did Maria climb?

950 meters

300

On a number line, point C is at −2.25 and point D is at 2.25. How do their absolute values compare? What does this tell you about their distance from 0?

They are equal; both points are the same distance from 0 but on opposite sides.

300

What is the opposite of 0? Explain why.

  • Answer: The opposite of 0 is 0.
  • Explanation: Zero is unique because it is neither positive nor negative. Its opposite remains zero, as it does not change position on the number line.
300

List the integers from GREATEST ----> LEAST :

{ -15,  20,  30,  - 10,  5 }

30,  20,  5,   -10,   -15

400

What is a "whole number and its opposite" called?


Integer

400

Is a deposit considered a positive or negative integer?

Positive

400

A number line shows points at −3.5 and 2. Which number has the greater absolute value? Explain your reasoning.

−3.5 has the greater absolute value because it is farther from 0.

400

What is the opposite of 30? Explain why.

  • Answer: The opposite of 30 is −30.
  • Explanation: The opposite of a positive integer signifies a move to the left on the number line, showing that 30 is 30 units above zero, while −30 is 30 units below zero.
400

List the integers from GREATEST ----> LEAST :

{ 75,  -50,  -20,  25,  0 }

75,   25,   0,    -20,   -50

500

A measurement that cannot be negative is?

Distance

500

An elevator in a building starts at the ground floor. It goes down one floor to the basement.  Then, it goes up to the 5th floor, and then returns to the ground floor. How many floors did the elevator travel?

12

500

Points A and B are graphed at −7/4 and 1.5. Which point is farther from 0 on the number line?

−7/4 (−1.75) is farther from 0, so it has the greater absolute value.

500

What is the opposite of −25? Explain why.

  • Answer: The opposite of −25 is 25.
  • Explanation: The opposite of a negative integer, like −25, is its positive form, which indicates a shift from below zero to above zero on the number line.
500

On the first hole of golf, the players received the following scores: Which player shot the worst score?

Player A: 2

Player B: -1

Player C: 0   

Player A

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