1. **Problem 1:** Round 51.26% to one decimal place. - The number is 51.26. - To round to one decimal place, look at the second decimal digit (6). - Since 6 is greater than or equal to 5, round the first decimal digit (2) up by 1. - So, 51.26 rounds to 51.3. 2. **Problem 2:** Round 5.428 to (a) one decimal place and (b) two decimal places. - (a) One decimal place: Look at the second decimal digit (2). - Since 2 < 5, keep the first decimal digit (4) as is. - So, 5.428 rounds to 5.4. - (b) Two decimal places: Look at the third decimal digit (8). - Since 8 ≥ 5, round the second decimal digit (2) up by 1. - So, 5.428 rounds to 5.43. 3. **Problem 3:** Daniel rounds 1.725 to one decimal place and gets 172.5. - Daniel's mistake is misunderstanding place value. - 1.725 rounded to one decimal place means keeping one digit after the decimal point. - Correct rounding: Look at the second decimal digit (2), since 2 < 5, keep first decimal digit (7). - So, 1.725 rounds to 1.7, not 172.5. 4. **Problem 4:** Nicole rounded a number to one decimal place and got 9.2. - Numbers that round to 9.2 to one decimal place are those from 9.15 up to but not including 9.25. - Examples: 9.15, 9.16, 9.17, 9.18, 9.19, 9.20, 9.21, 9.22, 9.23, 9.24. 5. **Problem 5:** Round 0.4715 g of salt to two decimal places. - Look at the third decimal digit (1). - Since 1 < 5, keep the second decimal digit (7). - So, 0.4715 rounds to 0.47. 6. **Problem 6:** Dominic claims difference between A and B cannot equal difference between C and D, where C and D are A and B rounded to one decimal place. - Let A = 1.24, B = 1.26. - Then C = 1.2 (A rounded), D = 1.3 (B rounded). - Difference A - B = 1.24 - 1.26 = -0.02. - Difference C - D = 1.2 - 1.3 = -0.1. - Here differences are not equal. - But if A = 1.25, B = 1.35, - C = 1.3, D = 1.4, - Difference A - B = -0.1, - Difference C - D = -0.1. - So Dominic is incorrect; the differences can be the same. **Final answers:** 1. 51.3 2. (a) 5.4 (b) 5.43 3. Daniel's mistake: misplacing decimal point, correct answer is 1.7 4. Possible numbers: 9.15, 9.16, 9.17, 9.18, 9.19, 9.20, 9.21, 9.22, 9.23, 9.24 5. 0.47 6. Dominic is incorrect; differences can be equal.