1) Problem: Calculate $982 \times 6,307$. Step 1. Consider estimation for reasonableness. Since $982 \approx 1,000$ (rounded to nearest thousand), and $6,307 \approx 6,300$ (rounded to nearest hundred), then estimated product is approximately $1,000 \times 6,300 = 6,300,000$. Step 2. Perform exact multiplication: $$982 \times 6,307 = 982 \times (6,000 + 300 + 7) = 982 \times 6,000 + 982 \times 300 + 982 \times 7$$ Calculate each term: $$982 \times 6,000 = 5,892,000$$ $$982 \times 300 = 294,600$$ $$982 \times 7 = 6,874$$ Step 3. Sum all partial products: $$5,892,000 + 294,600 + 6,874 = 6,193,474$$ Answer: $982 \times 6,307 = 6,193,474$. 2) Problem: Calculate $1,254 \times 716$. Step 1. Consider estimation for reasonableness. Since $1,254 \approx 1,200$ (rounded to nearest hundred), and $716 \approx 700$ (rounded to nearest hundred), then estimated product is approximately $1,200 \times 700 = 840,000$. Step 2. Perform exact multiplication: $$1,254 \times 716 = 1,254 \times (700 + 10 + 6) = 1,254 \times 700 + 1,254 \times 10 + 1,254 \times 6$$ Calculate each term: $$1,254 \times 700 = 877,800$$ $$1,254 \times 10 = 12,540$$ $$1,254 \times 6 = 7,524$$ Step 3. Sum all partial products: $$877,800 + 12,540 + 7,524 = 897,864$$ Answer: $1,254 \times 716 = 897,864$.