Whose number gives the same result of 2500 when rounded to nearest 10 and even when rounded to nearest 100 ?
ben - 2512
sara-2498
roy-2510
Sara
To find out whose number gives the same result of 2500 when rounded to the nearest 10 and even when rounded to the nearest 100, we'll need to determine if both rounding operations yield 2500 for each person's given number.
Let's check each person's number:
1. Ben's number: 2512
- When rounded to the nearest 10: The digit at the units place is 2, which is less than 5. When rounding to the nearest 10, the digit at the units place remains the same, resulting in 2510.
- When rounded to the nearest 100: The digit at the tens place is 1, which is less than 5. When rounding to the nearest 100, the digits at the units and tens places remain the same, resulting in 2500.
2. Sara's number: 2498
- When rounded to the nearest 10: The digit at the units place is 8, which is greater than 5. When rounding to the nearest 10, the digit at the tens place increases by 1, resulting in 2500.
- When rounded to the nearest 100: The digit at the tens place is 9, which is greater than 5. When rounding to the nearest 100, the digit at the hundreds place increases by 1, resulting in 2500.
3. Roy's number: 2510
- When rounded to the nearest 10: The digit at the units place is 0, which is exactly 5. When rounding to the nearest 10, the digit at the tens place remains the same, resulting in 2510.
- When rounded to the nearest 100: The digit at the tens place is 1, which is less than 5. When rounding to the nearest 100, the digits at the units and tens places remain the same, resulting in 2500.
From the analysis above, both Ben's and Roy's numbers, when rounded to the nearest 10 and 100, result in 2500. Therefore, both Ben and Roy have numbers that satisfy the given conditions.