Numbers And Operations Flashcards
(26 cards)
An integer consists of
Whole numbers and their negatives including zero extending infinitely in both negative and positive directions
Even times even equals
even
Odd times odd equals
Odd
Odd times even equals
Even
Pythagorean theorem
A^2 + b^2 = c^2
If a positive fraction with a value less than one is squared
The result is always smaller than the original fraction
As it applies to fractions:
A rational number is a number that
Can be represented by a fraction whose numerator and denominator are both integers
Decimal equivalents:
1/3
.33333333
Decimal equivalents:
2/3
.6666666
The product of a number and it’s reciprocal is always
1
The reciprocal of zero is
Zero has no reciprocal
Common factors are
Factors that two or more numbers have in common
Multiples are
The multiples of any given number are those numbers that can be divided by their factors without a remainder
The multiples of any number will always be multiples of all the factors of that number
The numbers 30, 45, 60 and 75 are all multiples of the number 15 two factors of 15 are the numbers three and five that means that 30, 45, 60 and 75 are all multiples of three and five
Common multiples
If you have two or more numbers any number that is a multiple of all the given numbers is called a common multiple
Least common multiple
The smallest multiple of two or more numbers
Modular arithmetic is
Examining only the remainders of numbers
Prime factors
The factors of a number that are prime
Proportion
An equation in which two ratios are set equal to each other
A factor is
Positive integers that can be divided evenly into a number without remainders
A sequence is
An ordered list of numbers
Arithmetic sequence
a + d(n-1)
a is the first number in a sequence
d is the common difference
n is the term number
Geometric sequence
ar^(n-1)
a is the first number in a sequence
r is the constant ratio
n is the term number
A set is
A collection of things, and the things are called elements or members of the set
Permutations are
Reordering of the elements in the set
For example a four letter password that can’t use the same letter twice has the possible combinations of 26 x 25 x 24 x 23 because it reduces by one each choice made
