Alg 1 U1 MO2: Number System

Decimals that terminate, decimals that repeat, fractions, integers, perfect squares

EX:

1.25

5.77777777...

$$\frac{3}{4}$$

-6

$$\sqrt[]{9}=3$$

Decimals that never end and never repeat, non-perfect squares

EX:

$$\pi$$ = 3.14159...

$$\sqrt[]{11}$$ = 3.31662...

Positive and negative whole numbers

EX:

..., -3, -2, -1, 0, 1, 2, 3,...

Positive numbers starting at 0

EX:

0, 1, 2, 3,...

Positive numbers starting at 1

EX:

1, 2, 3,....

All numbers

EX: rational, irrational, integers, whole, natural

R + R = R

R * R = R

Irr + Irr = Irr

ex:

$$\pi+\pi=2\pi$$ (irrational)

$$\pi+\left(-\pi\right)=0$$ (rational)

Irr * Irr = Irr

ex:

$$\pi\times\pi=\pi^2$$ (irrational)

$$\pi\times\frac{1}{\pi}=1$$ (rational)

R + Irr = R

R * Irr = R