Distance from zero
Absolute Value
True or False?
True
|-23|
23
-7(4)
-28
Describe the rules for multiplying and dividing negative and positive integers.
If the two signs are the same, the answer is positive.
If the two signs are opposite, the answer is negative.
Two numbers on the number line that are the same distance from zero
Opposites
Write the equation:
-2 - 3 = -5
Assuming all values are positive, fill in the blank:
When you do addition on a number line you are moving to the ___.
When you do subtraction you are moving to the _____.
Right, left
-8 - 18
-26
If the sum of two integers is positive, does that mean both those integers are positive? Why or why not?
No, you could have a negative number added to a positive number that has a greater absolute value
The sum of a group of values divided by the number of values that are being compared
Average
What integer represents the total change in taxis from year 0?
-200
True or False?
|-9| > |-10|
False
-12 -(-27) - 10
5
Describe how to figure out whether the product of a negative number to an exponent is positive or negative.
If the exponent is even, positive
If the exponent is odd, negative
The set of all whole numbers and their opposites
Integers
Write as an addition problem:
4 + (-2)
Order the values from least to greatest:
12, -8, |-15|, -10, |-9|
-10, -8, |-9|, 12, |-15|
(-2)7 -(-3)3
-101
Describe how to add numbers with different signs, using absolute value in your answer.
Subtract the absolute value of the smaller digit from the absolute value of the bigger digit. The answer is then negative or positive depending on the sign of the bigger digit.
An answer obtained by dividing one quantity by another
Quotient
What is the average change in water level per hour?
-8.5
Most absolute values are shared by two different integers. Which absolute value is not?
0
x = 10, y = -2, z = -5
(x^2 - 6z)/y
-65
Describe why multiplying a negative number by a negative number equals a positive number using the distributive property.
3 + -3 has to equal 0
-5(3 + -3) has to equal the same as -5(0)
Because -5 times 3 equals -15
-5 times -3 has to equal 0