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A number when rounded off to both the nearest hundred and nearest thousand is 235000. The smallest possible of such a number is ________
- a)234999
- b)234950
- c)234990
- d)234900
Correct answer is option 'D'. Can you explain this answer?
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A number when rounded off to both the nearest hundred and nearest thou...
Finding the Smallest Possible Number Rounded off to the Nearest Hundred and Thousand
Given: A number when rounded off to both the nearest hundred and nearest thousand is 235000.
To find: The smallest possible of such a number.
Solution:
Rounding off to the nearest hundred means that we have to round the given number to the nearest multiple of hundred. For example, 234, 345, 456, 567, 678, etc., are rounded off to 200, 300, 500, 600, 700, etc., respectively.
Rounding off to the nearest thousand means that we have to round the given number to the nearest multiple of thousand. For example, 2345, 3456, 4567, 5678, 6789, etc., are rounded off to 2000, 3000, 5000, 6000, 7000, etc., respectively.
Let the original number be x.
x rounded off to the nearest hundred = 235000
The nearest hundred to 235000 is 235100. So, x lies between 235050 and 235149.
x rounded off to the nearest thousand = 235000
The nearest thousand to 235000 is 235000 itself. So, x lies between 234500 and 235499.
To satisfy both conditions, the smallest possible value of x is 234900.
Therefore, the correct answer is option D, i.e., 234900.
Conclusion: The smallest possible number rounded off to the nearest hundred and thousand is 234900.
Given: A number when rounded off to both the nearest hundred and nearest thousand is 235000.
To find: The smallest possible of such a number.
Solution:
Rounding off to the nearest hundred means that we have to round the given number to the nearest multiple of hundred. For example, 234, 345, 456, 567, 678, etc., are rounded off to 200, 300, 500, 600, 700, etc., respectively.
Rounding off to the nearest thousand means that we have to round the given number to the nearest multiple of thousand. For example, 2345, 3456, 4567, 5678, 6789, etc., are rounded off to 2000, 3000, 5000, 6000, 7000, etc., respectively.
Let the original number be x.
x rounded off to the nearest hundred = 235000
The nearest hundred to 235000 is 235100. So, x lies between 235050 and 235149.
x rounded off to the nearest thousand = 235000
The nearest thousand to 235000 is 235000 itself. So, x lies between 234500 and 235499.
To satisfy both conditions, the smallest possible value of x is 234900.
Therefore, the correct answer is option D, i.e., 234900.
Conclusion: The smallest possible number rounded off to the nearest hundred and thousand is 234900.
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A number when rounded off to both the nearest hundred and nearest thou...
234900
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A number when rounded off to both the nearest hundred and nearest thousand is 235000. The smallest possible of such a number is ________a)234999b)234950c)234990d)234900Correct answer is option 'D'. Can you explain this answer?
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