Integers
What is an integer?
What is the definition of absolute value?
a number’s distance from zero (you can’t have a negative distance)
What are the 5 main inequality symbols?
=, >, <, greater than or equal to, and less than or equal to
What happens when you add two negative numbers?
you get a negative number
What happens when you multiply two of the same signs? (Positive x positive or negative x negative)
you get a positive
On a horizontal number line, which direction (left or right of zero) are the negative numbers?
What are opposite integers?
(can use example)
opposite integers are numbers with the same absolute value, like -125 and 125
Definition of an inequality
Add -8 + 15
7
In the mathematical statement −9^3, what is the base, and what is the exponent?
-9 is the base and 3 is the exponent
On a vertical number line, which direction (above or below zero) are the negative numbers?
Below
A construction crew dug a hole that is 65 feet deep.
Which absolute value statement represents the distance from the surface of the ground to the bottom of the hole?
|-65|=65
Compare |−87| and |−78| using the less than symbol.
87>78
What happens when you subtract a negative numbers?
It turns into addition
What is the expansion and product of (−5)^3?
(-5) x (-5) x (-5)=-125
Put these values in order from deepest depth to the shallowest.
−78 feet, −115 feet, −67 feet, −98 feet, 0 feet, −3 feet, −12 feet, −189 feet
-189, -115, -98, -78, -67 ,-12, -3, 0
Are absolute values always positive?
Nope, they are never negative. Zero’s absolute values is zero, which is neutral, but isn’t negative.
Yesterday the temperature was -11 degrees Fahrenheit, and today it was 0 degrees Fahrenheit. Was it warmer today or yesterday?
Today
What is -32- 14?
-46
When is the quotient of two integers negative?
When they have opposite signs
List a non-integer
anything fractional (decimal, percent, fraction)
Simplify: |-3|
3
Which inequality symbol, < or >, completes the following statement?
|-3| ____ |7|
<
What is 11-14?
-3
Divide −84÷−7
12