Definitions
What is an integer?
Whole numbers and their opposites.
Which is greater -5 or -17
-5
What is the opposite of 3 degrees below zero?
3 or three degrees above zero
|-6| =
6
What are some words that mean negative?
Answers vary: withdrawal, debt, owe, loss, below, under, decrease
What are opposite numbers?
The same distance from zero but on different sides of the number line.
Write the following as an inequality:
-4 and 10
-4 < 10
Opposite of 23
-23
-|-3| =
-3
What integer represents a deposit of $20?
20
What is absolute value?
The distance a number is from 0.
Put these integers in order from least to greatest.
-6, 0, -1, 3, -17
-17, -6, -1, 0, 3
Which is higher, 5 feet below sea level or 4 feet below sea level? Also, what is that answer's opposite?
4 ft below sea level
Opposite = 4
|2| + |-2| =
4
What integer represents 4 degrees below zero?
-4
The direction on a number line in which numbers get larger.
To the right
Compare the following using an inequality:
|-3| ____ 2
>
What is the opposite of 0?
0 or zero has no opposite.
|4| + |-4| + |1| =
9
A dolphin jumped 6 feet above water and then dove 8 feet below the water...what 3 integers represent this situation?
6, -8, and 0
When this is present the absolute value of a negative number still a negative.
What is when there is a negative sign on the outside of the absolute value brackets. Example: -|-4| = -4 or -|5| = -5
True or false
The absolute value and opposite of a number are the same thing.
False - In the example of 5, it's opposite is -5 but it's absolute value is still 5.
New Orleans is 8 feet below sea level, how many feet would it have to rise to be at sea level?
8 feet
Why is absolute value always positive?
It's only telling how far the number is away from the zero on the number line and distance can never be negative.
My bill at Chipotle was $12.35. What number represents this situation? What type of number is this?
-12.35...it is rational