1. **Problem Statement:** Calculate the decimal and percent forms of the given totals for Rafael's hits, runs, and home runs, and find how many home runs Matthew would have if he had 100 at bats. 2. **Step 1: Understanding the problem** - Rafael's totals: Hits = 54,000; Runs = 41,000; Home Runs = 17,000 - Matthew's totals: Hits = 98,720; Runs = 58,204; Home Runs = 20,800 - Rates per 100 at bats are given for both players. 3. **Step 2: Convert totals to decimals (to thousandths)** - Decimal = Total / 100,000 (assuming totals are out of 100,000 for scaling) - Rafael's decimals: - Hits: $\frac{54,000}{100,000} = 0.540$ - Runs: $\frac{41,000}{100,000} = 0.410$ - Home Runs: $\frac{17,000}{100,000} = 0.170$ - Matthew's decimals: - Hits: $\frac{98,720}{100,000} = 0.987$ - Runs: $\frac{58,204}{100,000} = 0.582$ - Home Runs: $\frac{20,800}{100,000} = 0.208$ 4. **Step 3: Convert decimals to percents** - Percent = Decimal $\times 100$ - Rafael's percents: - Hits: $0.540 \times 100 = 54\%$ - Runs: $0.410 \times 100 = 41\%$ - Home Runs: $0.170 \times 100 = 17\%$ - Matthew's percents: - Hits: $0.987 \times 100 = 98.7\%$ - Runs: $0.582 \times 100 = 58.2\%$ - Home Runs: $0.208 \times 100 = 20.8\%$ 5. **Step 4: Calculate Matthew's home runs for 100 at bats** - Given rate: 21 home runs per 100 at bats - So, if Matthew had 100 at bats, he would have $21$ home runs. **Final answers:** - Rafael decimals: Hits = 0.540, Runs = 0.410, Home Runs = 0.170 - Rafael percents: Hits = 54%, Runs = 41%, Home Runs = 17% - Matthew decimals: Hits = 0.987, Runs = 0.582, Home Runs = 0.208 - Matthew percents: Hits = 98.7%, Runs = 58.2%, Home Runs = 20.8% - Matthew's home runs at 100 at bats = 21