ABCTE-MSE-MATH-NUMBERS
real numbers - the set of all rational and irrational numbers. Essentially, they are all the
numbers on a number line.
rational numbers - numbers that can be written as a fraction a/b, where a and b are
integers and .b does not = 0
- fractions, repeating decimals, and terminating decimals
For example: 3/5; 5; -27; -4/17; ; 4.7623
irrational numbers - numbers that cannot be written as a fraction a/b, where a and b are
integers and . they become decimals that do not terminate or repeat. Nonperfect square
roots and pi are the most commonly used.
whole numbers - the counting numbers, starting with zero.
For example: 0, 1, 2, 3, 4, 5, 6, . . .
integers - the positive and negative counting numbers, including zero.
For example: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 . . .
commutative property - The ORDER of two numbers may be switched around and the
answer is the same. Order is not important when adding or multiplying numbers
4+7=7+4
Associative property - The GROUPING is not important when adding or multiplying
numbers. 3+(4+7)=
Identity Property - The number wants to be the same- to be itSELF. 4+0=4, 8X1=8
Multiplicative property of 0 - any number times zero is zero
distributive property - combines together addition (or subtraction) and multiplication. The
idea is that it doesn't matter if you find the product of the sum/difference or the
sum/difference of the product. a(b+c)=ab+ac and a(b-c)=ab-ac
Expression - In mathematics, a symbol (or combination of symbols) that represents a
quantity.
Prime number - - A positive integer not divisible by any positive integer other than itself
and the number one. has exactly two factors.
Composite numbers - have more than two factors but not an infinite number of factors.
All even numbers (except the number two) are this, since they can all be divided by two.
