Transcript Whole Numbers

Pre-Ap Vocabulary for 6th Six Weeks
1. Natural Numbers: Numbers in the set {1,2,3,…} AKA-counting numbers.
2. Whole Numbers: Numbers in the set {0,1,2,3,…}
3. Integers: Numbers in the set {…-3,-2,-1,0,1,2,3…} Whole numbers and their opposites
and zero.
4. Rational Numbers: numbers that can be written as a fraction in the form of a/b where
a & b are integers and b does NOT = 0.
***can be expressed as a decimal that terminates or that repeats indefinitely.
Ex. 0.125 or .81818181…
5. Irrational Numbers: a number that can NOT be written as a fraction in the form of a/b
where a & b are integers and b does NOT = 0.
***can NOT be expressed as a terminating or repeating decimal!
Ex. Square root of 3 = 1.73205080… and pi
6. Real Numbers: the set of rational numbers and irrational numbers together.
7. Pythagorean Theorem: describes the relationship between the lengths of the legs
and the hypotenuse for any right triangle.
*If a triangle is a right triangle, then the square of the length of the hypotenuse is
equal to the sum of the squares of the lengths of the legs. ___ = ____ + ____
8. Legs of right triangle: the sides that are adjacent to the right angle. (a & b)
9. Hypotenuse: the side opposite the right angle. (c)
c
a
b
10. Distributive Property: To distribute a number throughout a set of parenthesis by
by multiplying each number in the parenthesis by the number outside the parenthesis.
Ex. 5(2 + 4) = 5(2) + 5(4)
-2(3x + 6) = -2(3x) + -2(6)
y(x – 7) = xy – 7y
10 + 20
-6x + (-12)
30
-6x – 12
11. Monomial: an expression that is a number, variable, or a product of numbers and/or
variables. Ex. 21
-7c
180qrst
12. Scientific Notation: a number expressed as a product of a number and a power of 10,
where the number is greater than or equal to 1 and less than 10 (between 1 and 10 but
could = 1). Example: 5,000,000 = 5 x 10 ^6. Ex. .000023 = 2.3 x 10 ^-5
**used mostly to represent large numbers or very very tiny numbers.