Algebra 1 Guided Notes
I.
Real Numbers
a. Youtube Video Link: http://www.youtube.com/watch?v=skDLentDAH4
b. Vocabulary
i. Set- a well-defined collection of objects
ii. Element of the set- each object in the set
iii. Subset- consists of the elements from the given set
iv. Rational number- any number you can write in the form a/b, where a and b are
integers, and b does not equal zero.
v. Natural numbers- positive integers, does not include zero. (ex: 1, 2, 3…)
vi. Whole numbers- positive integers, including zero (ex: 0, 1, 2, 3…)
vii. Integers- all positive and negative whole numbers, including zero. (ex: …-2, -1, 0,
1, 2…)
viii. Irrational numbers- cannot be represented as the quotient of two integers. In
decimal form, irrational numbers do not terminate or repeat. (ex:
0.1010010001, 3.14159265…)
ix. Real numbers- the set of rational and irrational numbers
Examples:
To which subsets of the real numbers does each number belong?
1.
2.
3.
4.
5.
15
-1.4583
√57
3/10
√64
6.
7.
8.
9.
If you add two rational numbers together, will you sum be rational or irrational?
If you add a rational and irrational number together, will your sum be rational or irrational?
The product of two rational numbers is ___________?
The product of a nonzero rational number and irrational number is _____________?