1. **Problem Statement:** Order each set of numbers from least to greatest and fill in the blanks with the correct terms. 2. **Ordering Numbers:** To order numbers, convert all to a common form (decimals or fractions) for easy comparison. 3. **Set 10: \{0.7\%, 0.6, \frac{2}{3}\}** - Convert 0.7% to decimal: $0.7\% = \frac{0.7}{100} = 0.007$ - 0.6 is already decimal. - Convert $\frac{2}{3}$ to decimal: $\frac{2}{3} \approx 0.6667$ - Order: $0.007 < 0.6 < 0.6667$ 4. **Set 12: \{0.8, \frac{7}{20}, 17\%\}** - 0.8 is decimal. - Convert $\frac{7}{20}$ to decimal: $\frac{7}{20} = 0.35$ - Convert 17% to decimal: $17\% = 0.17$ - Order: $0.17 < 0.35 < 0.8$ 5. **Set 13: \{\frac{61}{100}, 0.65, 61.5\%\}** - Convert $\frac{61}{100}$ to decimal: $0.61$ - 0.65 is decimal. - Convert 61.5% to decimal: $61.5\% = 0.615$ - Order: $0.61 < 0.615 < 0.65$ 6. **Fill in the blanks:** - 14. The process of using a line over the repeating digits of a decimal is called **bar notation**. - 15. Fractions with different denominators are called **unlike fractions**. - 16. The least common multiple of the denominators is called the **least common denominator**. - 17. The decimal form of a fraction that has a pattern that never ends is a(n) **repeating** decimal. - 18. A **terminating** decimal is a decimal in which the repeating digit is zero. - 19. Fractions with the same denominator are called **like fractions**. - 20. A **rational** number is a number that can be written as a fraction, decimal, percent, and integers. 7. **Extra Credit - Flowerbed Model:** - The trapezoid has bottom length $4x - 2$ and top length $\frac{3x}{5}$. - The expression below the trapezoid is $\frac{4x}{5} + \frac{3x}{5} = \frac{7x}{5}$. - This likely represents the sum of parts of the trapezoid's sides or height. **Final answers:** - Set 10 ordered: $\{0.7\%, 0.6, \frac{2}{3}\} = \{0.007, 0.6, 0.6667\}$ - Set 12 ordered: $\{17\%, \frac{7}{20}, 0.8\} = \{0.17, 0.35, 0.8\}$ - Set 13 ordered: $\{\frac{61}{100}, 61.5\%, 0.65\} = \{0.61, 0.615, 0.65\}$ - Fill in blanks: bar notation, unlike fractions, least common denominator, repeating, terminating, like fractions, rational.