Solutions: Section 7.4

Page 159

Q1. Length of blue line (1 unit into 3 parts): Answer: $\frac{2}{3}$

Q2. Length of blue lines (1 unit into 5 parts): Answer: $\frac{2}{5}$ and $\frac{4}{5}$.

Q3. Unit divided into 8 equal parts: Answer: $\frac{1}{8}, \frac{2}{8}, \frac{3}{8} \dots$

Page 160: Figure It Out

Q3. How many fractions lie between 0 and 1? Answer: Infinite (Uncountable). You can always divide a unit into smaller and smaller pieces.

Q4. Length of blue and black line: Blue line is $\frac{1}{2}$. Black line extends to 3 half-units: $\frac{3}{2}$.

Q5. Lengths of black lines: Based on division into 5 parts: $\frac{6}{5}, \frac{7}{5}, \frac{8}{5}, \frac{9}{5}$.