1. The problem asks to determine if the bolded and underlined zeros in numbers 30-33 are necessary or unnecessary. 2. Important rule: A zero is necessary if it indicates precision or is between significant digits; unnecessary zeros are just placeholders. 3. For 30. 4.970: The zero after 7 is necessary because it shows precision to the thousandths place. 4. For 31. 4,970: The zero is unnecessary if no decimal is shown; it is a placeholder. 5. For 32. 25.310: The zero is necessary to show precision to the thousandths place. 6. For 33. 25.031: The zero is necessary as it is between significant digits. 7. Next, write each real number without unnecessary zeros (34-37): - 34. 35.21000 becomes 35.21 - 35. 35,210.00 becomes 35210 - 36. 0.000350 becomes 0.00035 - 37. 0.7000000 becomes 0.7 8. Finally, round the numbers as specified (38-39): - 38. Round 25,368,299 to the nearest million: 25,000,000 - 39. Round 792 to the nearest ten: 790 Final answers: 30. necessary 31. unnecessary 32. necessary 33. necessary 34. 35.21 35. 35210 36. 0.00035 37. 0.7 38. 25000000 39. 790