To solve the student's rounding questions, we need to understand the concept of rounding numbers to specified place values. Rounding numbers is a way of simplifying them by decreasing the number of significant digits, based on certain rules.
Part A: Round off to the nearest hundred
2246 : To round 2246 to the nearest hundred, observe the tens digit. If it is 5 or more, round up; otherwise, round down. Here, the tens digit is 4, so we round down to 2200.
Correct answer: 2200
5134 : The tens digit is 3, which is less than 5. Therefore, we round down to 5100.
Correct answer: 5100
3321 : The tens digit is 2, which is less than 5. Therefore, we round down to 3300.
Correct answer: 3300
5461 : The tens digit is 6, which is 5 or more. Thus, we round up to 5500.
Correct answer: 5500
7458 : The tens digit is 5, so we round up to 7500.
Correct answer: 7500
8492 : The tens digit is 9, so we round up to 8500.
Correct answer: 8500
Part B: Round off to the nearest thousand
20890 : The hundreds digit is 8, which is 5 or more. So, we round up to 21000.
Correct answer: 21000
14201 : The hundreds digit is 2, which is less than 5. Therefore, we round down to 14000.
Correct answer: 14000
9050 : The hundreds digit is 0, which is less than 5. Therefore, we round down to 9000.
Correct answer: 9000
85419 : The hundreds digit is 4, which is less than 5. Therefore, we round down to 85000.
Correct answer: 85000
75923 : The hundreds digit is 9, so we round up to 76000.
Correct answer: 76000
92504 : The hundreds digit is 5, so we round up to 93000.
Correct answer: 93000
Part C: Round off to the nearest ten-thousand
245667 : The digit in the thousand's place is 4, which is less than 5. Thus, we round down to 240000.
Correct answer: 240000
379420 : The digit in the thousand's place is 9, so we round up to 380000.
Correct answer: 380000
Understanding these basic rules of rounding helps in estimating and simplifying numbers within math problems.