3.6 Real Numbers

Determine if each of the following are real numbers:

1. $\frac{4 \sqrt{3}}{7}$
2. $13.3381$
3. $17 \sqrt{- 8}$

Identify all subsets of the real numbers to which the following real numbers belong:

1. $14$
2. $- 14.223$
3. $\sqrt{17}$

In each of the following, identify which property of the real numbers is being applied.

1. $4 + \left(8 + 13\right) = \left(4 + 8\right) + 13$
2. $34 \times \left(\frac{1}{34}\right) = 1$
3. $14 + 27 = 27 + 14$

Use properties of the real numbers and mental math to calculate the following:

1. $2 \times 13 \times 50$
2. $13 + 84 + 27$
3. $9 \times 16 \times 11$