C2 Positive and Negative Numbers Flashcards
additive inverse numbers
are numbers that are the opposite in sign but otherwise the same number
a + (-a) = 0
binary operations
involves two numbers, you need two numbers to perform the operation
the big four operations are all binary
3 +
non-binary operations
they need just one number to perform the operation
square roots
absolute value
factorial operation
to find the value of n!, you multiply that number by every positive integer smaller than n.
3! = 3 x 2 x 1 = 6
4! = 4 x 3 x 2 x 1 = 24
greatest integer function
takes any real number that isn’t an integer and changes it to the greatest integer it exceeds. If the number is already an integer it stays the same.
[n] = the biggest integer not greater than n, if n is not an integer, or
n, if n is an integer
4 1/2 = 4
-3.87 = -4
8 = 8
when adding numbers with different signs, forget the signs and find the difference between their _____ _____, the number farthest from ____ determines your sign
when adding numbers with different signs, forget the signs and find the difference between their absolute values, the number farthest from zero determines your sign
rule for subtracting signed numbers
change the minus sign to a plus sign and change the number that the minus sign was in front of to its opposite sign
- 16 - 4 = -16 + (-4) = -20
- 3 - (-5) = -3 + (+5) = 2
9 - (-7) = 9 + (+7) = 16
commutative property
Addition and Multiplication are commutative, meaning you can change the order of the numbers in the operation without affecting the result
4 + 5 = 9
5 + 4 = 9
associative property
Addition and multiplication are associative, meaning that even if the grouping of the operation (more than two numbers) changes the results remain the same.
4 + (5 + 8) = 4 + 13 = 17 and (4 + 5) + 8 = 9 + 8 = 17
factorial operation is used a lot in
statistics and higher mathematics
