Question

Please answer w/ an explanation of number system. Also tell me if you want to do my Khan Academy

Answer 1

Answer:

B: Integer

Step-by-step explanation:

I also did that khan academy and got it right

Answer 2

Answer:

None of the choices

Irrational, Real, Complex

Step-by-step explanation:

Number system:

(since I'm having image upload trouble I'll just do an outline format)

Complex numbers (all numbers we have)

I. Imaginary

  - cannot be plotted on number line

   -include i, sqrt  of (-) #s, variables, |-#s|, etc.

   (This includes pure imaginary and imaginary #s: In terms of i, pure imaginary is only b*i, and imaginary is a+bi, a and b being integers)

II. Real numbers: can be plotted on # line (have a real value)

     A. Irrational numbers

          - Non-repeating, non-terminating (ending) decimals

               E.X. : 1.12343123510971324...

          - Cannot be expressed as a fraction of 2 integers

          - Has a real value (pi, phi, tau, square roots of non-perfect non-negative squares e.x. \sqrt2)

    B. Rational

         - Can be expressed as fraction of 2 integers

            E.x. 0.3333... = 1/3

         - Can be expressed as terminating or repeating decimal

            E.x. 0.3232... , 0.32, etc.

          1. Includes: Fractions and terminating/repeating decimals

          2. Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...

               a. Whole numbers: 0, 1, 2, 3, ...

                      i. Counting/natural numbers: 1, 2, 3, ...