Math 8 Unit 1-The Number System
The Numbers from 0 to +α
The Numbers 1 to +α
Also known as Counting Numbers
The set of whole numbers and their opposites
From -α to +α
A number that can be written as a/b where a and b are integers, but b is not equal to 0. .25=¼
A number whose decimal form is non-terminating and non-repeating. Cannot be written in the form a/b, where a and b are integers (b cannot be zero).
The set of all rational and irrational numbers.
A number that is written using the base-ten place value system. 5.6
Representing a number in decimal form.
A number whose decimal representation eventually repeats the same sequence of digits. 1/3=.3333333...
A decimal numeral that does not end in an infinite sequence of zeros. 1.42345426343517189191........
Has a decimal expansion that ends in zero. 0.726500000 = 0.7265
A comparison of two quantities by division.
½ or 1 to 2 or 1:2
A result that is not necessarily exact, but is within the limits of accuracy required for a given purpose.
146 ≈ 150 2.57≈3
When a number is larger than the other number.
65 > 56
When a number is smaller than the other number. 107 < 215
The symbol √ which is used to respresent the square root
A number that when multiplied by itself, equals the given number.
A number that when multiplied by itself, and then mulitplied by itself again equals the given number.
A number cubed is the number raised to the third power.
A number with integers as its square roots.
A number that can be written as the cube of an integer. 1,8,27,64....
In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse, a²+b²=c²
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
a²+b²=c² where c is the hypotenuse while a and b are the legs of the triangle.
The two sides of a right triangle that form the right angle. ( called a and b)
The side of the right triangle that is opposite the right angle ( called c)
An example that shows a conjecture is false.