which number will have the same result, when rounded to the nearest ten or hundred?
97
118 and 5
179
5,091
97 = 100 = 100
97
To find the number that will have the same result when rounded to the nearest ten or hundred, we need to determine which numbers have the same units digit or the same tens digit.
Let's go through the options:
1. 97: When rounded to the nearest ten, it becomes 100. When rounded to the nearest hundred, it also becomes 100. So, 97 is the number.
2. 118 and 5: When rounded to the nearest ten, 118 becomes 120 and 5 becomes 10. When rounded to the nearest hundred, 118 becomes 100 and 5 becomes 0. Therefore, 118 and 5 do not have the same result when rounded to the nearest ten or hundred.
3. 179: When rounded to the nearest ten, it becomes 180. When rounded to the nearest hundred, it becomes 200. So, 179 is not the number.
4. 5,091: When rounded to the nearest ten, it becomes 5,090. When rounded to the nearest hundred, it becomes 5,100. Therefore, 5,091 is not the number.
The only number that has the same result when rounded to the nearest ten or hundred is 97.
To determine which numbers will have the same result when rounded to the nearest ten or hundred, you need to follow these steps:
1. Calculate the results when rounding each number to the nearest ten and nearest hundred.
- Rounding to the nearest ten: Divide the number by 10 and then round to the nearest whole number. Multiply the result by 10.
- Rounding to the nearest hundred: Divide the number by 100 and then round to the nearest whole number. Multiply the result by 100.
Now let's apply these steps to each given number:
1. For the number 97:
- Rounding to the nearest ten: 97 ÷ 10 = 9.7. Rounded to the nearest whole number = 10. Multiply by 10 = 100.
- Rounding to the nearest hundred: 97 ÷ 100 = 0.97. Rounded to the nearest whole number = 1. Multiply by 100 = 100.
The result is the same for both rounding to the nearest ten and nearest hundred: 100.
2. For the number 118 and 5:
It seems you have combined two numbers (118 and 5). Please provide clarity or separate the numbers to analyze them individually.
3. For the number 179:
- Rounding to the nearest ten: 179 ÷ 10 = 17.9. Rounded to the nearest whole number = 18. Multiply by 10 = 180.
- Rounding to the nearest hundred: 179 ÷ 100 = 1.79. Rounded to the nearest whole number = 2. Multiply by 100 = 200.
The results are different for rounding to the nearest ten and nearest hundred: 180 and 200.
4. For the number 5,091:
- Rounding to the nearest ten: 5,091 ÷ 10 = 509.1. Rounded to the nearest whole number = 509. Multiply by 10 = 5,090.
- Rounding to the nearest hundred: 5,091 ÷ 100 = 50.91. Rounded to the nearest whole number = 51. Multiply by 100 = 5,100.
The results are different for rounding to the nearest ten and nearest hundred: 5,090 and 5,100.
In summary, the only number that will have the same result when rounded to the nearest ten or hundred is 97, which gives a result of 100.