Question

The greatest number which on rounding off to nearest thousands gives 5000, is
A). \[5001\]
B). \[5559\]
C). \[5999\]
D). \[5499\]

Answer 1

Hint: To round off to the nearest thousands we need to point the hundreds place in the given number and check whether it is less than five or greater than or equal to five.
Case 1: If the number in the hundreds place is less than five then, replace all the other numbers except the thousands place by zero.
Case 2: If the number in the hundreds place is greater than and equal to five then, replace all the other numbers except the thousands placed by zero and increase the number in the thousands place by one.

Complete step-by-step solution:
The given number is \[5000\]. We aim to find the greatest number which will give \[5000\]while rounding it off to the nearest thousands from the given option.
Let us see the options one by one.
Option (a) \[5001\], first we need to point the number in the hundreds place. The number in the hundreds place is \[0\]. Then we need to check whether it is less than fine or greater than or equal to five. \[0\]is less than five so, we have to replace all the numbers except in the thousands place by zero. Thus, we get \[5000\].
Option (b) \[5559\], first we need to point the number in the hundreds place. The number in the hundreds place is \[5\]. Then we need to check whether it is less than five or greater than or equal to five. \[5\] is equal to five so, we have to replace all the numbers except in the thousands place by zero and increase the number in the thousands place by one. Thus, we get \[6000\].
Option (c) \[5999\], first we need to point the number in the hundreds place. The number in the hundreds place is. Then we need to check whether it is less than five or greater than or equal to five. \[9\] is greater than five so, we have to replace all the numbers except in the thousands place by zero and increase the number in the thousands place by one. Thus, we get \[6000\].
Option (d) \[5499\], first we need to point the number in the hundreds place. The number in the hundreds place is \[4\]. Then we need to check whether it is less than fine or greater than or equal to five. \[4\] is less than five so, we have to replace all the numbers except in the thousands place by zero. Thus, we get \[5000\].
Now let us see which number is greatest. Only for options (a) and (d), we got \[5000\] as the nearest thousand. Option (a) is \[5001\] & option (d) is \[5499\], on comparing these two numbers we get, \[5499\] is the greatest number.
Thus, \[5499\] is the greatest number which gives \[5000\] as a nearest thousand while rounding off.
Hence, option (d) \[5499\] is the correct answer.

Note: We can also solve this problem by drawing the number line. First, we will draw the number line from \[5000\] to \[5499\] (since only the numbers which have the number less than five in their hundreds place will get \[5000\] as their nearest thousand). Then, we will check the number in the option that is placed the leftmost in the number line. That will be the correct answer.