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)

a

b

c

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.